Now showing items 1-3 of 3

    • Drinking as an epidemic - a simple mathematical model with recovery and relapse 

      Sánchez Peña, Fabio Ariel; Wang, Xiaohong; Castillo Chávez, Carlos; Gorman, Dennis M.; Gruenewald, Paul J. (2007)
      This chapter discusses a simple mathematical model of drinking lapse. Problem drinking is modeled as an acquired state - the result of frequent or intense interactions among individuals in three drinking states within a ...
    • The role of short-term immigration on disease dynamics: An SIR model with age-structure 

      Sánchez Peña, Fabio Ariel; Calvo Alpízar, Juan Gabriel (2019-02-18)
      We formulate an age-structured nonlinear partial differential equation model that features short-term immigration effects in a population. Individuals can immigrate into the population as any of the three stages in the ...
    • Vertical Transmission in a Two-Strain Model of Dengue Fever 

      Murillo, David; Holechek, Susan A.; Murillo, Anarina L.; Sánchez Peña, Fabio Ariel; Castillo Chávez, Carlos (2014)
      The role of vertical transmission in vectors has rarely been addressed in the study of dengue dynamics and control, in part because it was not considered a critical population-level factor. In this paper, we apply the ...