On a Discretized SIS Epidemic Model with No Vertical Transmission

Sándor Kovács () and Noémi Gyúró
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Sándor Kovács: Eötvös Loránd University, Department of Numerical Analysis
Noémi Gyúró: Eötvös Loránd University

A chapter in Trends in Biomathematics: Exploring Epidemics, Eco-Epidemiological Systems, and Optimal Control Strategies, 2024, pp 123-139 from Springer

Abstract: 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.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-59072-6_6

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DOI: 10.1007/978-3-031-59072-6_6

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