• A two-patch epidemic model with nonlinear reinfection 

      Calvo Alpízar, Juan Gabriel; Hernádez Alvarado, Alberto José; Porter, Mason A.; Sánchez Peña, Fabio Ariel (2020)
      The propagation of infectious diseases and its impact on individuals play a major role in disease dynamics, and it is important to incorporate population heterogeneity into efforts to study diseases. As a simplistic but ...
    • Dengue model with early-life stage of vectors and age-structure within host 

      Sánchez Peña, Fabio Ariel; Calvo Alpízar, Juan Gabriel (2019-12)
      We construct an epidemic model for the transmission of dengue fever with an early-life stage in the vector dynamics and age-structure within hosts. The early-life stage of the vector is modeled via a general function that ...
    • 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 ...