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On a Discretized SIS Epidemic Model with No Vertical Transmission

In: Trends in Biomathematics: Exploring Epidemics, Eco-Epidemiological Systems, and Optimal Control Strategies

Author

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  • Sándor Kovács

    (Eötvös Loránd University, Department of Numerical Analysis)

  • Noémi Gyúró

    (Eötvös Loránd University)

Abstract

In this chapter, a discretized SIS epidemic model with no vertical transmission is presented and analysed. The examined model is the discrete version of a continuous model coming from the literature. We use only numerical schemes that produce systems of difference equations whose dynamics resembles of their continuous counterpart, i.e. the resulting discretized system is dynamically consistent with the original differential equation. Firstly, the basic properties of these discrete systems are discussed such as boundedness and positivity of solutions. Then possible equilibria are investigated regarding existence and stability.

Suggested Citation

  • Sándor Kovács & Noémi Gyúró, 2024. "On a Discretized SIS Epidemic Model with No Vertical Transmission," Springer Books, in: Rubem P. Mondaini (ed.), Trends in Biomathematics: Exploring Epidemics, Eco-Epidemiological Systems, and Optimal Control Strategies, pages 123-139, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-59072-6_6
    DOI: 10.1007/978-3-031-59072-6_6
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