Delays and Exposed Populations in Infection Models

Benito Chen-Charpentier ()
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Benito Chen-Charpentier: Department of Mathematics, University of Texas at Arlington, Arlington, TX 76019, USA

Mathematics, 2023, vol. 11, issue 8, 1-22

Abstract: Most biological processes take time to occur. In infectious diseases, such as malaria or chikungunya, there is a period of time between when a susceptible individual gets bitten by the vector, and when the individual develops the disease. These times are commonly modeled by introducing delays or by adding exposed as a new population class. Given a model based on differential equations, delays can be introduced in different forms. In this paper, we study different ways of introducing the delays and, alternatively, using exposed populations. We also analyze their steady solutions and stability, and establish the conditions under which the studied models predict an epidemic. Results and conclusions are presented.

Keywords: delay; exposed population; mathematical model; infectious diseases; epidemic models (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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