On the Role of the Basic Reproduction Number in Systems Modeling Disease Propagation

Sándor Kovács () and Szilvia György ()
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Sándor Kovács: Eötvös Loránd University, Department of Numerical Analysis
Szilvia György: Eötvös Loránd University, Department of Numerical Analysis

A chapter in Trends in Biomathematics: Exploring Epidemics, Eco-Epidemiological Systems, and Optimal Control Strategies, 2024, pp 105-122 from Springer

Abstract: Abstract The aim of this chapter is to show how the basic reproduction number can be calculated regarding dynamical systems. To illustrate the presented methods, we apply them to a system modelling disease propagation coming from the literature. These systems are autonomous ordinary differential equation, difference equations, and reaction-diffusion system modeling the situation when the susceptibles and the infecteds react to each other and diffuse in a two-dimensional bounded, connected spatial domain with piecewise smooth boundary.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-59072-6_5

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DOI: 10.1007/978-3-031-59072-6_5

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