Modeling and Analysis of an SEIRS Epidemic Model with Non-monotonic Incidence Rate

Sandeep Tiwari; Vandana Gupta; Monika Badole; Ankit Agrawal

doi:https://doi.org/10.14445/22315373/IJMTT-V51P531

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 51 | Number 4 | Year 2017 | Article Id. IJMTT-V51P531 | DOI : https://doi.org/10.14445/22315373/IJMTT-V51P531

Modeling and Analysis of an SEIRS Epidemic Model with Non-monotonic Incidence Rate

Sandeep Tiwari, Vandana Gupta, Monika Badole, Ankit Agrawal

Abstract

In this paper we investigate a SEIRS epidemic model with nonlinear saturated incidence rate. According to different recovery rates, we use differential stability theory and the global stability of the disease-free equilibrium, and the existence and global stability of the endemic equilibrium proved by constructing a Lyapunov function. Some numerical simulations are given to illustrate the analytical results.

Keywords

epidemic model, equilibrium, Lyapunov function, reproduction number.

References

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Citation :

Sandeep Tiwari, Vandana Gupta, Monika Badole, Ankit Agrawal, "Modeling and Analysis of an SEIRS Epidemic Model with Non-monotonic Incidence Rate," International Journal of Mathematics Trends and Technology (IJMTT), vol. 51, no. 4, pp. 244-247, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V51P531