27 citations · 40 across the 10 of their papers we have counts for
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Global properties of an age-structured virus model with saturated antibody immune response, multi-target cells and general incidence rate
Ángel Cervantes-Pérez, Eric Ávila-Vales
Some viruses, such as human immunodeficiency virus, can infect several types of cell populations. The age of infection can also affect the dynamics of infected cells and production…
Bifurcations of a Leslie Gower predator prey model with Holling type III functional response and Michaelis-Menten prey harvesting
Eric Ávila-Vales, Ángel Estrella-González, Erika Rivero Esquivel
We discuss the stability and bifurcation analysis for a predator-prey system with non-linear Michaelis-Menten prey harvesting. The existence and stability of possible equilibria ar…
GLOBAL stability for SIRS epidemic models with general incidence rate and tranfer from infectious to susceptible
Angel G. Cervantes-Pérez, Eric J. Avila-Vales
We study a class of SIRS epidemic dynamical models with a general non-linear incidence rate and transfer from infectious to susceptible. The incidence rate includes a wide range of…
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…