English

Stability analysis of SIR and SIRS models with non monotone incidence function and various mortality rates

Dynamical Systems 2023-04-26 v1 Populations and Evolution

Abstract

This study uses the Lyapunov method, the Poincar\'e-Bendixson theorem, and the Dulac criterion to analyze the stability of SIR and SIRS with non-monotone incidence and different mortality rates.

Keywords

Cite

@article{arxiv.2304.12864,
  title  = {Stability analysis of SIR and SIRS models with non monotone incidence function and various mortality rates},
  author = {Y. Mohamed and A. Ahmedou and M. S. B. Elemine Vall},
  journal= {arXiv preprint arXiv:2304.12864},
  year   = {2023}
}

Comments

7 pages,1 figure