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AMLSS Student Publications

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).

Evangelista, Arlene M., et al. "USA the fast food nation: Obesity as an epidemic." Los Alamos National Laboratory (2004).

Engman, Martin, and Ricardo Cordero-Soto. "Intrinsic spectral geometry of the Kerr-Newman event horizon." Journal of mathematical physics 47.3 (2006): 033503.

Morales, Romarie, Mubayi, Anuj, et al. "Modeling transmission dynamics for the fall wave of the 1918-1919 Influenza Pandemic in Montreal and Winnipeg." (2007).

Morales, Romarie, Mubayi, Anuj, et al. "Modelling transmission dynamics for the 1918-1919 influenza pandemic in Montreal and Winnipeg." (2007).

Cordero-Soto, Ricardo, et al. "Propagator of a charged particle with a spin in uniform magnetic and perpendicular electric fields." Letters in Mathematical Physics 84.2-3 (2008): 159-178.

Meiler, Maria, Ricardo Cordero–Soto, and Sergei K. Suslov. "Solution of the Cauchy problem for a time-dependent Schrödinger equation." Journal of Mathematical Physics 49.7 (2008): 072102.

Chowell, G., et al. "Spatial and temporal dynamics of dengue fever in Peru: 1994–2006." Epidemiology and infection 136.12 (2008): 1667-1677.

Mubayi, Anuj. The role of environmental context in the dynamics and control of alcohol use. ProQuest, 2008.


Romero, Daniel M., Mubayi, Anuj, et al. "An epidemiological approach to the spread of political third parties." Available at SSRN 1503124 (2009).

Rios-Doria, D., and G. Chowell. "Qualitative analysis of the level of cross-protection between epidemic waves of the 1918–1919 influenza pandemic." Journal of Theoretical Biology 261.4 (2009): 584-592.

Rios-Doria, Daniel, et al. "Spatial and temporal dynamics of rubella in Peru, 1997–2006: geographic patterns, age at infection and estimation of transmissibility." Mathematical and statistical estimation approaches in epidemiology. Springer Netherlands, 2009. 325-341.

Cordero-Soto, Ricardo, and Sergei K. Suslov. "Expectation Values $< r^ p> $ for Harmonic Oscillator in $ R^ n$." arXiv preprint arXiv:0908.0032 (2009).

Cordero-Soto, Ricardo, Erwin Suazo, and Sergei K. Suslov. "Models of damped oscillators in quantum mechanics." Journal of Physical Mathematics 1 (2009).

Lopez, Raquel M., and Sergei K. Suslov. "The Cauchy problem for a forced harmonic oscillator." Rev. Mex. Fis. E 55 (2009): 196-215.

López, Raquel M., Sergei K. Suslov, and Erika T. Camacho. "A Mechanism For Stabilization of Dynamics in Nonlinear Systems with Different time Scales." arXiv preprint arXiv:0907.1609 (2009).

Romero, Daniel M., et al. "An epidemiological approach to the spread of political third parties." Available at SSRN 1503124 (2009).

Castro, Francis N., Ivelisse Rubio, and José M. Vega. "Divisibility of exponential sums and solvability of certain equations over finite fields." The Quarterly Journal of Mathematics 60.2 (2009): 169-181.

Rogers, Bruce, and David Murillo. "Control of Opinions in an Ideologically Homogeneous Population." Social Computing and Behavioral Modeling. Springer US, 2009. 1-9.

Rogers, Bruce, and David Murillo. "Pigs, Parties, and Noise: How Stochasticity Impacts the Robustness of the Tsembaga Cultural Practices." Natural Resource Modeling 23.4 (2010): 437-466.

Ortiz, Angela, et al. "A discrete events delay differential system model for transmission of Vancomycin-resistant enterococcus (VRE) in hospitals." Journal of Inverse and Ill-Posed Problems 18.7 (2010): 787-821.

Cordero-Soto, Ricardo. "A Heuristic Derivation Of The Schrodinger Equation and the Momentum Operator." arXiv preprint arXiv:1004.4935 (2010).

Lopez, Raquel M., Benjamin R. Morin, and Sergei K. Suslov. "Logistic models with time-dependent coefficients and some of their applications." arXiv preprint arXiv:1008.2534 (2010).

Cordero-Soto, Ricardo, Erwin Suazo, and Sergei K. Suslov. "Quantum integrals of motion for variable quadratic Hamiltonians." Annals of Physics 325.9 (2010): 1884-1912.

Cordero-Soto, Ricardo, and Sergei K. Suslov. "Time reversal for modified oscillators." Theoretical and Mathematical Physics 162.3 (2010): 286-316.

Morin, Benjamin R., et al. "Notes from the heterogeneous: a few observations on the implications and necessity of affinity." Journal of biological dynamics 4.5 (2010): 456-477.

Morin, Benjamin R., et al. "Static behavioral effects on gonorrhea transmission dynamics in a MSM population." Journal of theoretical biology 267.1 (2010): 35-40.

Kareva, Irina, Faina Berezovskaya, and Carlos Castillo-Chavez. "Myeloid cells in tumour–immune interactions." Journal of biological dynamics 4.4 (2010): 315-327.


Morin, Benjamin R. "Explicit Solutions to the Continuous Time Albert-Barab\'asi Scale-Free Model." arXiv preprint arXiv:1105.0882 (2011).

Sanchez, F., D. Murillo, and C. Castillo-Chavez. "Change in Host Behavior and its Impact on the Transmission Dynamics of Dengue." International Symposium on Mathematical and Computational Biology. Vol. 5. 2011.

Sánchez-Álvarez, José J., María Higuera, and José M. Vega. "Optimal streaks in a Falkner–Skan boundary layer." Physics of Fluids (1994-present) 23.2 (2011): 024104.

Morales-Butler, Emmanuel J. "Transmissibility of H5N1 avian influenza in Nigeria: The 2006 epidemic." (2011).

Kareva, Irina. "Prisoner’s dilemma in cancer metabolism." PloS one 6.12 (2011): e28576.

Kareva, Irina. "What can ecology teach us about cancer?." Translational oncology 4.5 (2011): 266-270.

Lopez, Raquel M., Sergei K. Suslov, and Jose M. Vega-Guzman. "On the harmonic oscillator group." arXiv preprint arXiv:1111.5569 (2011).

Suazo, Erwin, Sergei K. Suslov, and José M. Vega-Guzmán. "The Riccati differential equation and a diffusion-type equation." New York J. Math 17 (2011): 225-244.

Lanfear, Nathan, Raquel M. López, and Sergei K. Suslov. "Exact wave functions for generalized harmonic oscillators." Journal of Russian Laser Research 32.4 (2011): 352-361.

Cordero-Soto, Ricardo, and Sergei K. Suslov. "The degenerate parametric oscillator and Ince's equation." Journal of Physics A: Mathematical and Theoretical 44.1 (2011): 015101.

Herrera-Valdez, Marco Arieli, Maytee Cruz-Aponte, and Carlos Castillo-Chavez. "Multiple outbreaks for the same pandemic: local transportation and social distancing explain the different “waves” of A-H1N1pdm cases observed in Mexico during 2009." Mathematical Biosciences and Engineering 8.1 (2011): 21-48.

Cruz-Aponte, Maytee, Erin C. McKiernan, and Marco A. Herrera-Valdez. "Mitigating effects of vaccination on influenza outbreaks given constraints in stockpile size and daily administration capacity." BMC infectious diseases 11.1 (2011): 207.

Cruz-Aponte, Maytee, et al. "The role of the large-conductance calcium-dependent potassium channel, BK/Slowpoke, in shaping motor neuron firing during rhythmic activity." BMC Neuroscience 12.Suppl 1 (2011): P217.

Smith, Adrian, et al. "Differential contribution of A-type potassium currents in shaping neuronal responses to synaptic input." BMC Neuroscience 12.Suppl 1 (2011): P147.

Morin, Benjamin. Computational and Analytical Mathematical Techniques for Modeling Heterogeneity. Diss. Arizona State University, 2012.

Tello-Bravo, David. A Mathematical Model of Dopamine Neurotransmission. Diss. Arizona State University, 2012.

Kryuchkov, Sergey I., Sergei K. Suslov, and Jose M. Vega-Guzmán. "The minimum-uncertainty squeezed states for quantum harmonic oscillators."arXiv preprint arXiv:1201.0841 (2012).

Salau, Kehinde, et al. "Varying effects of connectivity and dispersal on interacting species dynamics." Ecological Modelling 242 (2012): 81-91.

Gomez-Lievano, Andres, HyeJin Youn, and Luis MA Bettencourt. "The statistics of urban scaling and their connection to Zipf’s law." PLoS One 7.7 (2012): e40393.

Kareva, Irina. Niche Construction, Sustainability and Evolutionary Ecology of Cancer. Diss. Arizona State University, 2012.

Patterson-Lomba, Oscar, et al. "Optimizing treatment regimes to hinder antiviral resistance in influenza across time scales." PloS one 8.3 (2013): e59529.

López, Raquel M., Sergei K. Suslov, and José M. Vega-Guzmán. "On a hidden symmetry of quantum harmonic oscillators." Journal of Difference Equations and Applications 19.4 (2013): 543-554.

López, R. M., S. K. Suslov, and J. M. Vega-Guzmán. "Reconstructing the Schrödinger groups." Physica Scripta 87.3 (2013): 038112.

Morin, Benjamin R., Eli P. Fenichel, and CASTILLO‐CHAVEZ, CARLOS. "SIR dynamics with economically driven contact rates." Natural resource modeling 26.4 (2013): 505-525.

Cruz-Aponte, Maytee. Epidemic Dynamics of Metapopulation Models. Arizona State University, 2014.

Petitti, Diana B. "Heat-Related Deaths in Hot Cities: Estimates of Human Tolerance to High Temperature Thresholds." Int. J. Environ. Res. Public Health11 (2014): S2.

Butler, Emmanuel J. Morales. Applications of Nonlinear Systems of Ordinary Differential Equations and Volterra Integral Equations to Infectious Disease Epidemiology. Diss. Arizona State University, 2014.

Towers, Sherry, Oscar Patterson-Lomba, and Carlos Castillo-Chavez. "Temporal variations in the effective reproduction number of the 2014 West Africa Ebola outbreak." PLoS currents 6 (2014).

Patterson-Lomba, Oscar, et al. "Utilizing syndromic surveillance data for estimating levels of influenza circulation." American journal of epidemiology179.11 (2014): 1394-1401.

Gomez-Lievano, Andres. Applying Distributional Approaches to Understand Patterns of Urban Differentiation. Diss. Arizona State University, 2014.

Blanco, Krystal, Kamal Barley, and Anuj Mubayi. "Population Dynamics of Wolves and Coyotes at Yellowstone National Park: Modeling Interference Competition with an Infectious Disease." arXiv preprint arXiv:1408.6819 (2014).

Towers, Sherry, Oscar Patterson-Lomba, and Carlos Castillo-Chavez. "Emerging Disease Dynamics." (2014).

Suazo, Erwin, Sergei K. Suslov, and José M. Vega-Guzmán. "The Riccati system and a diffusion-type equation." Mathematics 2.2 (2014): 96-118.

Patterson-Lomba, Oscar, et al. "Per capita incidence of sexually transmitted infections increases systematically with urban population size: a cross-sectional study." Sexually transmitted infections (2015): sextrans-2014.