English

Global dynamics of a periodic SEIRS model with general incidence rate

Dynamical Systems 2017-04-05 v1

Abstract

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 models and it is a threshold parameter for persistence. Numerical simulations are per- formed to estimate the basic reproduction number and illustrate our analytical findings, using a nonlinear incidence rate.

Keywords

Cite

@article{arxiv.1704.01116,
  title  = {Global dynamics of a periodic SEIRS model with general incidence rate},
  author = {Eric Ávila-Vales and Erika Rivero-Esquivel and Gerardo García-Almeida},
  journal= {arXiv preprint arXiv:1704.01116},
  year   = {2017}
}