3 papers
math.DS2018
Global stability of a distributed delayed viral model with general incidence rate
Eric Ávila-Vales, Abraham Canul-Pech, Erika Rivero Esquivel
In this paper, we discussed an infinitely distributed delayed viral infection model with nonlinear immune response and general incidence rate. We proved the existence and uniquenes…
math.DS2017
Global dynamics of a periodic SEIRS model with general incidence rate
Eric Ávila-Vales, Erika Rivero-Esquivel, Gerardo García-Almeida
We consider a family of periodic SEIRS epidemic models with a fairly general incidence rate and it is shown the basic reproduction number determines the global dynamics of the mode…
math.DS2015
Stability and bifurcation analysis of a SIR model with saturated incidence rate and saturated treatment
Erika Rivero-Esquivel, Eric Ávila-Vales, Gerardo E. García-Almeida
We study the dynamics of a SIR epidemic model with nonlinear incidence rate, vertical transmission vaccination for the newborns and the capacity of treatment, that takes into accou…