27 citations · 40 across the 10 of their papers we have counts for
11 papers
On a three-dimensional and two four-dimensional oncolytic viro-therapy models
Rim Adenane, Eric Avila-Vales, Florin Avram +2
We revisit here and carry out further works on tumor-virotherapy compartmental models of [Tian, 2011, Wang et al., 2013, Phan and Tian, 2017, Guo et al., 2019]. The results of thes…
Global dynamics of a two-strain flu model with a single vaccination and general incidence rate
Arturo J. Nic May, Eric J. Avila Vales
In this his paper, we studied the global dynamics of a two-strain flu model with a single-strain vaccine and general incidence rate. Four equilibrium points were obtained and the g…
A data driven analysis and forecast of an SEIARD epidemic model for COVID-19 in Mexico
Ugo Avila-Ponce de León, Ángel G. C. Pérez, Eric Avila-Vales
We propose an SEIARD mathematical model to investigate the current outbreak of coronavirus disease (COVID-19) in Mexico. We conduct a detailed analysis of this model and demonstrat…
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…
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…