Some Results on the Numerical Simulation of SEIRS Epidemic Model with Saturated Incidence Rate Considering the Saturation Term for the Susceptible Individual

摘要

In this research paper, the numerical simulation of a Susceptible-Exposed-Infected-Recovered- Susceptible (SEIRS) epidemic model with saturated incidence rate with the saturated terms for the susceptible individuals was analyzed. We established the disease-free equilibrium and endemic equilibrium states of the model. We also investigated the local and global stabilities of the disease free equilibrium using matrix and Lyapunov function methods when the basis reproduction number 1 0 <1. The work is an extension Kolawole and Olayiwola (2016) to investigate the effect of saturation term on the susceptible individual. We used maple for the simulation of the analysis and the result we obtained are in good agreement with other results in the literature.