Multiscale malaria models and their uniform in-time asymptotic analysis

J. Banasiak and S.Y. Tchoumi

Mathematics and Computers in Simulation (MATCOM), 2024, vol. 221, issue C, 1-18

Abstract: In this paper, we show that an extension of the classical Tikhonov–Fenichel asymptotic procedure applied to multiscale models of vector-borne diseases, with time scales determined by the dynamics of human and vector populations, yields a simplified model approximating the original one in a consistent, and uniform for large times, way. Furthermore, we construct a higher-order approximation based on the classical Chapman–Enskog procedure of kinetic theory and show, in particular, that it is equivalent to the dynamics on the first-order approximation of the slow manifold in the Fenichel theory.

Keywords: Multiscale malaria models; Singularly perturbed problems; Approximation of slow manifold; Uniform in time asymptotics; Global stability of solutions; Group renormalization method; Chapman–Enskog expansion (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:221:y:2024:i:c:p:1-18

DOI: 10.1016/j.matcom.2024.02.015

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