Global dynamics of a two-strain flu model with a single vaccination and general incidence rate

2020/04/21 by Arturo J. Nic May, May, Arturo J. Nic, Eric J. Avila Vales +1
Mathematics · Medicine · #Influenza Virus Research Studies #Mathematical and Theoretical Epidemiology and Ecology Models #Virology and Viral Diseases #math.DS

paper · pdf · doi:10.48550/arxiv.2004.10713

37 pages, 5 figures

arxiv created 2020/04/21 · arxiv updated 2020/04/23

Abstract

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 global dynamics of the model are completely determined via suitable lyapunov functions. We illustrate our results by some numerical simulations.

Citations

• A generalization of the Kermack-McKendrick deterministic epidemic model
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission

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