Publications | Simon A. Levin Mathematical, Computational and Modeling Sciences Center

Partial list of collaborative publications between the QRLSSP, formerly MTBI, Co-Directors and QRLSSP participants.

2017

Messan, K., DeGrandi-Hoffman, G., Castillo-Chavez, C. & Kang, Y. Migration Effects on Population Dynamics of the Honeybee-mite Interactions In : Mathematical Modelling of Natural Phenomena. 12, 2, p. 84-115 32 2017

Kang, Y., Sasmal, S. K. & Messan, K. A two-patch prey-predator model with predator dispersal driven by the predation strength In : Mathematical Biosciences and Engineering. 14, 4, p. 843-880 38 Aug 1 2017

Masan, K. & Kang, Y. May 1 2017 In : Discrete and Continuous Dynamical Systems - Series B. 22, 3, p. 947-976 30 A two patch prey-predator model with multiple foraging strategies in predator: Applications to insects

Kang, Y., Bai, D., Tapia, L. & Bateman, H. Dynamical effects of biocontrol on the ecosystem: Benefits or harm? In : Applied Mathematical Modelling. 51, p. 361-385 25 Nov 1 2017

2016

C. Castillo-Chavez, K. Barley, D. Bichara, D. Chowell, E. Diaz Herrera, B. Espinoza, V. Moreno, S. Towers, and K. E. Yong. "Modeling Ebola at the Mathematical and Theoretical Biology Institute (MTBI) " AMS Journal, (2016).

Rodriguez-Rodriguez, M. & Kang, Y. Colony and evolutionary dynamics of a two-stage model with brood cannibalism and division of labor in social insects In : Natural Resource Modeling. 29, 4, p. 633-662 30 Nov 1 2016

Kang, Y., Blanco, K., Davis, T., Wang, Y. & DeGrandi-Hoffman, G. Disease dynamics of honeybees with Varroa destructor as parasite and virus vector In : Mathematical Biosciences. 275, p. 71-92 22 May 1 2016

Lv, D., Fan, M., Kang, Y. & Blanco, K. Modeling Refuge Effect of Submerged Macrophytes in Lake System In : Bulletin of Mathematical Biology. p. 1-33 33 Apr 7 2016 (Accepted/In press)

2015

Kang, Y., Rodriguez-Rodriguez, M. & Evilsizor, S. Ecological and evolutionary dynamics of two-stage models of social insects with egg cannibalism In : Journal of Mathematical Analysis and Applications. 430, 1, p. 324-353 30 Oct 1 2015
Udiani, O., Pinter-Wollman, N. & Kang, Y.Identifying robustness in the regulation of collective foraging of ant colonies using an interaction-based model with backward bifurcation In : Journal of Theoretical Biology. 367, p. 61-75 15 Feb 1 2015
Sherry Towers, Shehzad Afzal, Gilbert Bernal, Nadya Bliss, Shala Brown, Baltazar Espinoza, Jasmine Jackson, Julia Judson-Garcia, Maryam Khan, Michael Lin, Robert Mamada, Victor M Moreno, Fereshteh Nazari, Kamaldeen Okuneye, Mary L Ross, Claudia Rodriguez, Jan Medlock, David Ebert, Carlos Castillo-Chavez, “Mass Media and the Contagion of Fear: The Case of Ebola in America,” PLoS ONE 10(6): e0129179. doi:10.1371/journal. pone.0129179, 2015.
D. Bichara, Y. Kang, C. Castillo-Chavez, R. Horan, C. Perrings, SIS and SIR models under virtual dispersal, arXiv preprint arXiv:1503.08881, 2015
D Murillo, SA Holechek, AL Murillo, F Sanchez, Vertical Transmission in a Two-Strain Model of Dengue Fever, Letters in Biomathematics, 2015
Oscar Patterson-Lomba, Edward Goldstein, Andrés Gómez-Liévano, Carlos Castillo-Chavez, and Sherry Towers, Per capita incidence of sexually transmitted infections increases systematically with urban population size: a cross-sectional study, Sexually Transmitted Infections, 04 2015
Carlos Castillo-Chavez, Roy Curtiss, Peter Daszak, Simon A. Levin, Oscar Patterson-Lomba, Charles Perrings, George Poste, and Sherry Towers, Beyond Ebola: lessons to mitigate future pandemics. The Lancet Global Health 3 (7), e354-e355
Castillo-Garsow, C.W. and C. Castillo‐Chavez: Why REUs Matter; In Peterson, M. (Ed). REU: New Directions. World Scientific (in press).
Irina Kareva, Benjamin Morin, Carlos Castillo-Chavez, “Resource Consumption, Sustainability, and Cancer,” Bulletin of mathematical biology 77 (2), 319-338, 2015

D. Bichara, Y. Kang, C. Castillo-Chavez, R. Horan, and C. Perrings, SIS and SIR epidemic models under virtual dispersal, Bulleting of Mathematical Biology, pp 1-31, First on line, October 21, 2015

D. Bichara and C. Castillo-Chavez, Vector-borne diseases models with residence times - a Lagrangian perspective, arXiv preprint arXiv:1509.08894v1, September 2015.
Towers S, Gomez-Lievano A, Khan M, Mubayi A, Castillo-Chavez C (2015) Contagion in Mass Killings and School Shootings. PLoS ONE 10(7): e0117259. doi: 10.1371/journal.pone.0117259, 2015
Chowell, D., C. Castillo-Chavez, S Krishna, X Qiu, Modelling the effect of early detection of Ebola- The Lancet Infectious Diseases, 15(2): 148--149, 2015

KE Yong, ED Herrera, C Castillo-Chavez, “From bee species aggregation to models of disease avoidance: The\ emph {Ben-Hur} effect,” arXiv preprint arXiv:1510.04364, 2015.

Espinoza, B, Moreno, V, Bichara D., and C. Castillo-Chavez, “Assessing the Efficiency of Cordon Sanitaire as a Control Strategy of Ebola,” arXiv preprint arXiv: 1510.07415v1, 2015.

2014

Charles Perrings, Carlos Castillo-Chavez, Gerardo Chowell, Peter Daszak, Eli P. Fenichel, David Finnoff, Richard D. Horan, A. Marm Kilpatrick, Ann P. Kinzig, Nicolai V. Kuminoff, Simon Levin, Benjamin Morin, Katherine F. Smith, and Michael Springborn “Merging Economics and Epidemiology to Improve the Prediction and Management of Infectious Disease,” pages 1-12, EcoHealth, Springer, 9/19/2014

Ana Luz Vivas-Barber, Carlos Castillo-Chavez, Ernest Barany, Dynamics of an” SAIQR” Influenza Model, BIOMATH, Volume 3, 1-3, 2014.

Haiyun Zhao, Zhilan Feng, Carlos Castillo-Chavez, The dynamics of poverty and crime, Journal of Shanghai Normal University (Natural Science, Mathematics), 43 (5), 2014
Kang Yun and C. Castillo-Chavez, A simple Epidemiological Model for Populations in the Wild with Allee Effects and Disease modified Fitness. Discrete & Continuous Dynamical Systems - Series B. Jan 2014, Vol. 19, Issue 1, pages 89-130
Kang Yun and C Castillo-Chavez, Dynamics of SI Models with Horizontal and Vertical Transmission as well as Allee Effects, Mathematical Biosciences, Volume 248, February 2014, pages 97-116.
S Towers, O Patterson-Lomba, C Castillo-Chavez, “Temporal variations in the effective reproduction number of the 2014 West Africa Ebola outbreak” PLOS Currents Outbreaks, 2014

2013

Castillo-Garsow, C.W. and C. Castillo-Chavez. “A Preliminary Theoretical Analysis of an REU’s Community Model,” Problems, Resources and Issues in Mathematics Undergraduate Studies, Volume 23, Issue 9, pages 860-880, 2013

Morin, B., E. Fenichel and C. Castillo-Chavez, SIR Economically Driven Contact Rates, Natural Resource Modeling, Volume 26, Issue 4, 505-525, 2013

Hernandez-Ceron, N., Z. Feng and C. Castillo-Chavez, “Discrete epidemic models with arbitrary stage distributions and applications to disease control,” Bull Math Biology, 75 (10), pages 1716-1746, 2013

2012

F. Sanchez, D. Murillo, and C. Castillo-Chavez, “Change in Host Behavior and its Impact on the Transmission Dynamics of Dengue,” to appear in in BIOMAT 2011 (Ed. Rubem P  Mondaini). International Symposium on Mathematical and Computational Biology, World Scientific. (2012, in press).
Glasser, J., Z. Feng, A Moylan, S. Del Valleand C. Castillo-ChavezMixing in age-structured population models of infectious disease, Mathematical Biosciences, 235, 1-7, 2012

Kareva I., Berezovskaya, F, and C Castillo-Chavez, Transitional regimes as early warning signals in resource dependent competition models, pages, 114-123, Mathematical Biosciences, 2012.

Kang Y., and Carlos Castillo-Chavez, “Multiscale Analysis of Compartment models with dispersal,” Journal of Biological Dynamics, Vol. 6, Suppl. 2, September 2012, 50–79, 2012
Shim, E., Feng, Z., and C. Castillo-Chavez, “Differential Impact of sickle cell trait on symptomatic and asymptomatic malaria,” Mathematical Biosciences and Engineering, 9(4): 877-98, 2012

2011

González-Parra, P., S. Lee, C. Castillo-Chavez and L. Velazquez, “A note on the use of optimal control on a discrete time model of influenza dynamics,” Mathematical Biosciences and Engineering, Vol.8, No.1 (2011) 193-205

Rios-Soto, K., B. Song and C. Castillo-Chavez, “Epidemic Spread of Influenza Viruses: The Impact of Transient Populations on Disease Dynamics,” Mathematical Biosciences and Engineering, Vol.8, No.1 (2011) 207-230
Herrera-Valdez, M. A., M. Cruz-Aponte, and C. Castillo-Chavez, “Multiple waves for the same pandemic: Local transportation and social distancing explain the dynamics of the A-H1N1 epidemic during 2009 in México,” Mathematical Biosciences and Engineering, Vol.8, No.1 (2011), 21-50.
Ortiz, A. R., H. T. Banks, C. Castillo-Chavez, G. Chowell, and X. Wang, “A Deterministic Methodology for Estimation of Parameters in Dynamic Markov Chain Models.” Journal of Biological Systems, 19: 71-100 (2011).
Prosper, O., O. Saucedo, D. Thompson, G. Torres-Garcia, X. Wang, and C Castillo-Chavez “Control Strategies for Concurrent Epidemics of Seasonal and H1N1 Influenza,” Mathematical Biosciences and Engineering, Vol.8, No.1 (2011), 147-177
Castillo-Chavez, C. and Gerardo Chowell, Preface (In Mathematical Biosciences and Engineering, Vol. 8, (pp. i-v) 2011.

Ortiz, A. R., H. T. Banks, C. Castillo-Chavez, G. Chowell, and X. Wang, “A Discrete Events Delay Differential Systems Model Methodology for Transmission of Vancomycin-Resistant Enterococcus (VRE) in Hospitals.” J. Inv. Ill-Posed Problems 18 (2011), 787–821.
Mubayi, A., P Greenwood, X Wang, C Castillo-Chavez, D Gorman, P Gruenewald and R F Saltz, “Types of Drinkers and Drinkers Settings: An application of Mathematical Models,” Addiction, 2011 Apr; 106(4): 749-58.
Eli P. Fenichel, Carlos Castillo-Chavez, M. G. Ceddia, Gerardo Chowell, Paula A. Gonzalez Parra, Graham J. Hickling, Garth Holloway, Richard Horan, Benjamin Morin, Charles Perrings, Michael Springborn, Leticia Velazquez, and Cristina Villalobos, “Adaptive human behavior in epidemiological models,” Proceedings of the National Academy of Sciences, USA 2011; 108:6306-11
Nishiura H, Chowell G, Castillo-Chavez C Did Modeling Overestimate the Transmission Potential of Pandemic (H1N1-2009)? Sample Size Estimation for Post-Epidemic Seroepidemiological Studies. PLoS One 2011; 6: e17908, (2011)

2010

Kareva I., Berezovskaya, F, and C Castillo-Chavez, “Myeloid Cells in Tumor-Immune System Interactions,” Journal of Biological Dynamics, Vol. 4, No. 4, July 2010, 315–327
Mubayi A., G Chowell, C Castillo-Chavez, C Kribs-Zaleta, N A Siddiqui, N Kumar, and P Das, “Transmission Dynamics and Underreporting of Kala-azar in the Indian State of Bihar,” Journal of Theoretical Biology 262 (2010) 177–185.
Berezovskaya, F., B Song and C Castillo-Chavez “Role of Prey Dispersal and Refuges on Predator Prey Dynamics,” SIAM Journal of Applied Mathematics, Vol. 70, No. 6, pp. 1821–1839, 2010
Crisosto, M. N., C., Kribs-Zaleta, C Castillo-Chavez and S Wirkus, “Community Resilience in Collaborative Learning,” Discrete and Continuous Dynamical Systems B, Volume 14, No 1, pages 17-40, July 2010
Sutton, K. L., H. T. Banks and C Castillo-Chavez, “Using Inverse Problem Methods with Surveillance Data in Pneumococcal Vaccination,” Mathematical & Computer Modelling, 51, 369–388, 2010
Paula A Gonzalez-Parra, Leticia Velazquez, Maria C. Villalobos, and Carlos Castillo-Chavez. “Optimal control applied to a discrete influenza model.” Conference Proceedings Book of the XXXVI International Operation Research Applied to Health Services, Book ISBN 13: 9788856825954 edited by Franco Angeli Edition, June 2010.
Chow, K., X Wang., R Curtiss III and C Castillo-Chavez, “Evaluating the Efficacy of Antimicrobial Programs and Patient Isolation on Dual Resistance in Hospitals,” Journal of Biological Dynamics, Vol. 4, No. 1, January 2010, 1–17
Morin, B., Castillo-Chavez, C. Hsu Schmitz, S-F, Mubayi, A., and X. Wang. “Notes From the Heterogeneous: A Few Observations on the Implications and Necessity of Affinity,” Journal of Biological Dynamics, Vol. 4, No. 5, September 2010, 456–477
Lee S., Chowell, G. and C. Castillo-Chavez, “Optimal control of influenza pandemics: The role of antiviral treatment and isolation,” Journal of Theoretical Biology, 265 (2010) 136-150
Mubayi, A., Kribs-Zaleta, C, Martcheva, M and C. Castillo-Chavez, “A Cost-Based Comparison of Quarantine Strategies for New Emerging Diseases,” Journal of Mathematical Biosciences and Engineering, Vol. 7(3), p. 687-717, 2010
Hernandez-Suarez, C. C. Castillo-Chavez, O. Montesinos-Lopez and K. Hernández-Cuevas, “Queuing Theory and Epidemic Models,” Mathematical Biosciences and Engineering, Volume: 7, Issue: 4, 809 – 823, 2010
Morin, B., L. Medina-Rios, L, E. T., Camacho, and C Castillo-Chavez, “Static Behavioral Effects on Gonorrhea Transmission Dynamics in a MSM population,” Journal of Theoretical Biology, 267, (2010) 35-40
Mubayi, A, P E. Greenwood, C Castillo-Chavez, P Gruenewald, D M. Gorman, Impact of Relative Residence Times on the Distribution of Heavy Drinkers in Highly Distinct Environments, Socio-Economic Planning Sciences, Vol. 43, No. 1, pp 1-12, 2010.
Sutton, K, H.T. Banks and C Castillo-Chavez, “Public vaccination policy using an age-structure model of pneumococcal infection dynamics,” Journal of Biological Dynamics, 1751-3766, Volume 4, Issue 2, First published 01 March 2010, Pages 176 – 195

2009

Nuno, M, M Martcheva and C Castillo-Chavez, “Immune Level Structure Model for Influenza Strains,” Journal of Biological Systems, Volume 17 (4), 713-737, 2009
Nishiura, H, C Castillo-Chavez, M Safan and G Chowell, “Transmission potential of the new influenza (H1N1) virus and its age-specificity in Japan.” Eurosurveillance, Volume 14, Issue 22, pp 1-4, June 4, 2009
Shim, E and C Castillo-Chavez, “The epidemiological impact of rotavirus vaccination programs in the United States and Mexico,” In Mathematical and Statistical Estimation Approaches in Epidemiology. Edited by G Chowell, J.M. Hyman, L.M.A. Bettencourt, and C. Castillo-Chavez, Springer. 2009, Approx. 430 pages, Hardcover, ISBN: 978-90-481-2312-4.
Cintron-Arias, A, F Sanchez, X Wang, C Castillo-Chavez, D Gorman and P Gruenewald, “The role of nonlinear relapse on contagion among drinking communities,” In, Mathematical and Statistical Estimation Approaches in Epidemiology. Edited by G Chowell, J.M. Hyman, L.M.A. Bettencourt, and C. Castillo-Chavez, Springer. 2009, Approx. 430 pages, Hardcover, ISBN: 978-90-481-2312-4.
Rios-Doria, D., G Chowell, C Munayco-Escate, A Whitthembury and C Castillo-Chavez, “Spatial and Temporal Dynamics of Rubella in Peru, 1997-2006: Geographic patterns, age at infection and estimation of transmissibility,” In Mathematical and Statistical Estimation Approaches in Epidemiology. Edited by G Chowell, J.M. Hyman, L.M.A. Bettencourt, and C. Castillo-Chavez, Springer. 2009, Approx. 430 pages, Hardcover, ISBN: 978-90-481-2312-4.
Chowell, G, J.M. Hyman, L.M.A. Bettencourt, and C. Castillo-Chavez, “Preface,” In Mathematical and Statistical Estimation Approaches in Epidemiology. Edited by G Chowell, J.M. Hyman, L.M.A. Bettencourt, and C. Castillo-Chavez, Springer. 2009, Approx. 430 pages, Hardcover, ISBN: 978-90-481-2312-4.
Castillo-Chavez, C., C Kribs-Zaleta, Y Kuang, and B Song, “ From Guest Editors,” Mathematical Biosciences and Engineering Volume 6, Number 2, April 2009 pp. i–ii (http://www.aimsciences.org/journals/displayArticles.jsp?paperID=4032)
Cintron-Arias, A., C. Castillo-Chavez, L. M. Bettencourt, A. L. Lloyd and H.T. Banks, “Estimation of the Effective Reproductive Number from Disease Outbreak Data,” Mathematical Biosciences and Engineering Volume 6, Number 2, April 2009, pp. 261–283
Castillo-Chavez C. and C. W. Castillo-Garsow. "Increasing Minority Representation in the Mathematical Sciences: Good models but no will to scale up their impact," In: Doctoral Educations and the Faculty of the Future, Edited by, Ronald G. Ehrenberg and Charlotte V Kuh, pp 135-145, Cornell University Press, pp 135-145, (2009)

2008

Chowell, G., C.A. Torre, C. Munyaco-Escate, L. Suárez -Ognio, R. López-Cruz, J.M. Hyman, C. Castillo-Chavez. “Spatial and temporal dynamics of dengue fever in Peru: 1994-2006”, Epidemiology and Infection. 2008 Apr 8:1-11.
Sutton, K., Banks, T., and C Castillo-Chavez, “Estimation of Invasive pneumococcal disease dynamics parameters and the impact of conjugate vaccination in Australia.” Volume 5, Number 1, pp 175-204, Mathematical Biosciences and Engineering, January 2008.
Nuno, M., Castillo-Chavez, C., Feng Z. and M. Martcheva. “Mathematical Model of Influenza: The Role of cross-immunity, quarantine and age-structure” In Mathematical Epidemiology, P. van den Driessche, J Wu and F Brauer, Springer-Verlag (Eds.) 2008

2007

Bettencourt, L.M. A., R. M. Ribeiro, G. Chowell, T. Lant, C. Castillo-Chavez. “Towards real time epidemiology: data assimilation, modeling and anomaly detection of health surveillance data streams. Zeng Gotham D, Komatsu K, Lynch C. (Eds.) Intelligence and security informatics: Biosurveillance. Proceedings of the 2nd NSF Workshop, Biosurveillance, 2007. Lecture Notes in Computer Science. New Brunswick, NJ: Springer-Verlag Berlin. Pp. 79–90, 2007.
Castillo-Chavez, C. and C. W. Castillo-Garsow, Analytical Tools for Evolutionary Processes, Book Review, American Scientist, pp 546-547, Nov.-Dec, 2007.
Chowell, G., P. Diaz-Dueñas, D. Chowell, S. Hews, G. Ceja-Espiritu, J.M. Hyman, C. Castillo-Chavez. Diagnostic delays and epidemiology of dengue fever during the 2002 epidemic in Colima, Mexico. Dengue Bulletin, (2007).
Castillo-Chavez, C., C. W. Castillo-Garsow, G. Chowell, D. Murillo, and M. Pshaenich. "Promoting Research and Minority Participation via Undergraduate Research in the Mathematical Sciences. MTBI/SUMS-Arizona State University," In: Proceedings of the Conference on Promoting Undergraduate Research in Mathematics, Edited by Joseph Gallian, pages 15-22, American Mathematical Society, AMS (http://www.ams.org/employment/REUproceedings.html), June, 2007
Chowell, G., Diaz-Dueñas, P., Miller, J.C., Alcazar-Velazco A., Hyman, J.M., Fenimore, P.W. and C. Castillo-Chavez. “Estimation of the Reproduction Number of Dengue Fever from Spatial Epidemic Data.” Math. Biosciences. 208:571-89 (2007).
Sanchez, F., Wang, X., Castillo-Chavez, C., Gruenewald, P. and D. Gorman. ``Drinking as an epidemic--a simple mathematical model with recovery and relapse”, In: Therapist’s Guide to Evidence Based Relapse Prevention, Edited by K. Witkiewitz and G. Alan Marlatt, 353-368, 2007.
Nuno, M., Chowell, G., Wang X. and C. Castillo-Chavez. “On the role of cross-immunity, vaccines and ‘flu’ survival,” Theoretical Population Biology 71 20-29 (2007).

2006

Shim, E., Feng, Z., Martcheva M. and C. Castillo-Chavez. “An age-structured epidemic model of rotavirus with vaccination”. J. Math. Biol. 53(4): 719-46, 2006
Kasseem, G. T., Roudenko, S., Tennenbaum, S. and C. Castillo-Chavez. “The Role of Transactional Sex in Spreading HIV/AIDS in Nigeria: A Modeling Perspective.” In: Mathematical Studies on Human Disease Dynamics: Emerging Paradigms and Challenges. Gumel A., Castillo-Chavez, C., Clemence, D.P. and R.E. Mickens, American Mathematical Society, pp. 367-389, Vol. 410 (2006).
Shim, E., Banks, H. T. and C. Castillo-Chavez “Seasonality of rotavirus infection with its vaccination” In. Mathematical Studies on Human Disease Dynamics. Gumel, A., Castillo-Chavez, C., Clemence, D. P. and R. E. Mickens, American Mathematical Society, pp. 327 – 348, Vol. 410 (2006).
Rios-Soto, K.R., Castillo-Chavez, C., Neubert, M., Titi, E.S., and A-A Yakubu. “Epidemic Spread in Populations at Demographic Equilibrium.” In: Mathematical Studies on Human Disease Dynamics: Emerging Paradigms and Challenges. Gumel A., Castillo-Chavez, C., Clemence, D.P. and R.E. Mickens, American Mathematical Society, pp. 297- 310, Vol. 410, (2006).
Sanchez, F., Engman, M., Harrington, L. and C. Castillo-Chavez. “Models for Dengue Transmission and Control.” In: Mathematical Studies on Human Disease Dynamics: Emerging Paradigms and Challenges. Gumel A., Castillo-Chavez, C., Clemence, D.P. and R.E. Mickens, American Mathematical Society, pp. 311-326, Vol. 410 (2006).
Chowell, G., Cintron-Arias, A. Del Valle, S., Sanchez, F., Song, B., Hyman, M., and C. Castillo-Chavez. “Mathematical applications associated to the deliberate release of infectious agents.” In: Mathematical Studies on Human Disease Dynamics: Emerging Paradigms and Challenges. Gumel A., Castillo-Chavez, C., Clemence, D.P. and R.E. Mickens, American Mathematical Society, pp. 51-72, Vol. 410 (2006).
Chowell, G., Rivas, A. L., Hengartner, N. W., Hyman, J. M. and C. Castillo-Chavez, “Critical response to post-outbreak vaccination against foot-and-mouth disease.” In: Mathematical Studies on Human Disease Dynamics: Emerging Paradigms and Challenges. Gumel, A., Castillo-Chavez, C. Clemence, D. P. and R. E. Mickens, American Mathematical Society, pp. 73 - 89, Vol. 410, (2006).
Song, B., Garsow-Castillo, M, Rios-Soto, K., Mejran, M., Henso, L., and C. Castillo-Chavez. ``Raves Clubs, and Ecstasy: The Impact of Peer Pressure,” Journal of Mathematical Biosciences and Engineering, Volume 3, Number 1, January 2006 pp. 1–18.
Bettencourt, L, M.A., Cintron-Arias, A., Kaiser, D, I. And C. Castillo-Chavez, “The power of a good idea: quantitative modeling of the spread of ideas from epidemiological models,” Physica A, 364, 513-536, 2006
Chowell, G., Rivas, A. L., Hengartner, N. W., Hyman, J. M. and C. Castillo-Chavez, “The Role of Spatial Mixing in the Spread of Foot-and-Mouth Disease.” Preventive Veterinary Medicine 73 297-314 (2006).

2005

P. Diaz, G. Chowell, G. Ceja, T. C. D'Auria, R. C. Lloyd, C. Castillo-Chavez, “Pediatric Electrocardiograph Abnormalities Following Centruroides limpidus tecomanus Scorpion Envenomation.” Toxicon 45(1), 27-31 (2005).
Chowell, G., Castillo-Chavez, C. and P. Diaz, “Characterization of an Outbreak of Acute Hemorrhagic Conjunctivitis,” Digital Journal of Ophtalmology, 11/1 (2005).
Chowell, G., Shim, E., Brauer, F., Diaz-Dueñas, P., Hyman, J. M. and C. Castillo- Chavez, “Modeling the transmission dynamics of acute hemorrhagic conjunctivitis: application to the 2003 outbreak in Mexico.” Statistics in Medicine, (Published Online in Wiley Inter Science (www.interscience.wiley.com). DOI: 10.1002/sim.2352, 12 Sep 2005).
Gjorgjieva, J., Smith K., Chowell, G., Sanchez, F., Snyder, J., and C Castillo-Chavez, “The Role of Vaccination in the Control of SARS,” Journal of Mathematical Biosciences and Engineering, Volume 2, Number 4, October 2005 pp. 753–769, 2005.
Del Valle, S., Hethcote, H, Hyman J. M. and C Castillo-Chavez, “The effects of behavioral changes in a smallpox attack model.” Mathematical Biosciences, 195 (2005), 228- 251.
Nuno, M, Feng, Z., Martcheva, M. and C. Castillo-Chavez, “The dynamics of two strains of influenza with cross-immunity,” SIAM J. of Applied Mathematics, Vol. 65, No. 3, pp. 964–982, 2005.

2004

Berezovskaya, F., G. Karev, B. Song, and C. Castillo-Chavez, “Simple Models with Surprised Dynamics,” Journal of Mathematical Biosciences and Engineering, 2(1): 133-152, 2004.
Castillo-Chavez, C. and B. Song: “Dynamical Models of Tuberculosis and applications,” Journal of Mathematical Biosciences and Engineering, 1(2): 361-404, 2004.
Chowell, G., C. Castillo-Chavez, P.W. Fenimore, C. Kribs-Zaleta, L. Arriola, J.M. Hyman, “Model Parameters and Outbreak Control for SARS,” Emerging Infectious Diseases 10 (7): 1258-1263 (2004)
Chowell, G., Hengartner, N.W., Castillo-Chavez, C., Fenimore, P.W., Hyman, J.M. “The Basic Reproductive Number of Ebola and the Effects of Public Health Measures: The Cases of Congo and Uganda.” Journal of Theoretical Biology, 229(1): 119-126 (July 2004)
Castillo-Chavez C. and B. Song, “An overview of dynamical models of tuberculosis,” In: Summer School on Mathematical Biology, CIM publication Vol. 20, A. Margheri, C. Rebelo and F. Zanolin (eds.), pp.13-62, 2003. (Modified and minimally expanded: Dynamical Models of Tuberculosis and applications, Journal of Mathematical Biosciences and Engineering, 1(2): 361-404, 2004, with permission of CIM where it was published for summer school participants).

2003

Chowell, G., P. W. Fenimore, M. A. Castillo-Garsow and C. Castillo-Chavez. “SARS Outbreaks in Ontario, Hong Kong and Singapore: the role of diagnosis and isolation as a control mechanism.” Journal of Theoretical Biology, 224, 1-8, 2003.
Rivas A. L., Tennenbaum S. E., Aparicio J. P., Hoogesteijn A. L., Mohammed, H. O., Castillo-Chavez C. and S. J. Schwager, “Critical response time (time available to implement effective measures for epidemic control): Model Building and Evaluation,” The Canadian Journal of Veterinary Research, Vol. 67, 307-311, 2003
Chowell, G. and C. Castillo-Chavez. “Worst Case Scenarios and Epidemics.” Mathematical and Modeling Approaches to Homeland Security (2003), T. Banks, C.Castillo-Chavez Eds. Frontiers in Applied Mathematics Vol. 28 (SIAM, Philadelphia, 2003).
Chowell, G., Hyman, M., Eubank, S., and C. Castillo-Chavez. “Scaling Laws for the movement of people between locations in a large city.” Physics Rev. E. 68, 066102 (2003).
Castillo-Chavez, C., Song B., and J. Zhang. “An epidemic model with virtual transportation: the case of smallpox in a large city.” In (Banks T. and C. Castillo-Chavez, eds.) Bioterrorism: Mathematical Modeling Applications to Homeland Security SIAM Series Frontiers in Applied Mathematics, 240 pp. Volume 28, 2003.
Castillo-Chavez, C., and B. Song. “Models for the Transmission Dynamics of Fanatic Behaviors.” In (Banks T. and C. Castillo-Chavez, eds.) Bioterrorism: Mathematical Modeling Applications to Homeland Security SIAM Series Frontiers in Applied Mathematics, 240 pp. Volume 28, 2003.
Castillo-Chavez, C., Castillo-Garsow, C. and A. A. Yakubu, “Mathematical Models of Isolation and Quarantine.” JAMA, December 3, 2003, Vol. 290, No. 21, pp 2876-2877.

2002

Song, B., C. Castillo-Chavez and J. A. Aparicio, “Tuberculosis Models with Fast and Slow Dynamics: The Role of Close and Casual Contacts,” Mathematical Biosciences 180: 187-205, December 2002.
Song, B., C. Castillo-Chavez and J. Aparicio, “Global dynamics of tuberculosis models with density dependent demography.” In: Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods and Theory, IMA Volume 126, 275-294, Springer-Verlag, Berlin-Heidelberg-New York. Edited by Carlos Castillo-Chavez with Pauline van den Driessche, Denise Kirschner and Abdul-Aziz Yakubu, 2002.

2000

Hernandez-Suarez C. M. and C. Castillo-Chavez, “Urn models and vaccine efficacy estimation” Statistics in Medicine. Volume 19: 827-835, 2000.
Schmitz S-F. Hsu and C. Castillo-Chavez, “A note on pair-formation functions.” Mathematical and Computer Modeling. 31: 83-91, 2000.

1999

Hernandez-Suarez C. M. and C. Castillo-Chavez, “A basic result on the integral for birth-death Markov processes,” Mathematical Biosciences, 161, 95-104, 1999.

1997

Capurro, A., C. Castillo-Chavez, Z. Feng and Moira Zellner, “Modelos para la dinámica de transmisión de la Tuberculosis,” In, Proceedings Eight International Congress in Biomatemáticas, R. Howe, J. M. Nole, S. Vergara, J. R. Fernandez, C. F. Ho (eds.) Pages 13-34, 1997.
Capurro, A., Brauer, F., C. Castillo-Chavez, and Moira Zellner, “Conceptos Básicos en la Epidemiología Teórica,” In, Proceedings Eight International Congress in Biomatemáticas, R. Howe, J. M. Nole, S. Vergara, J. R. Fernandez, C. F. Ho, (eds.) Pages 35-51, 1997.

Configure

Books and edited volumes

Brauer Fred and Carlos Castillo-Chavez, Mathematical Models in Population Biology and Epidemiology, Texts in Applied Mathematics, 40. Springer-Verlag, 416 pages, 2001.

Castillo-Chavez, C and G. Chowell. Special Issue: Mathematical Models, Challenges, and Lessons Learned from the 2009 A/H1N1 Influenza Pandemic, Mathematical Biosciences and Engineering, Volume: 8, Number: 1, January 2011; 246 pages, (http://aimsciences.org/journals/displayPapers1.jsp?pubID=411)

Brauer Fred and Carlos Castillo-Chavez, Mathematical Models in Population Biology and Epidemiology, 2nd Edition, Texts in Applied Mathematics, 40. Springer-Verlag, 530 pages, 2012

Brauer Fred and Carlos Castillo-Chavez, Mathematical Models for Communicable Diseases, CBMS-NSF Regional Conference Series in Applied Mathematics 84, xvi + 276 pages, 2013

Brauer Fred, Carlos Castillo-Chavez, Elmer de la Pava, Kamal Barley, Carlos Castillo-Garsow, Diego Chowell, Baltazar Espinoza, Paula Gonzalez Parra, Carlos Hernandez Suarez, and Victor Moreno, “Modelos Parala Propagación de Enfermedades Infecciosas,” Universidad Autónoma de Occidente, 177 pages, December 10, 2014,