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Journal of Applied Mathematics and Computing

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19.05.2022 | Original Research

Global dynamics of a vector-borne disease model with direct transmission and differential susceptibility

verfasst von: Xiaoguang Li, Xuan Zou, Liming Cai, Yuming Chen

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1/2023

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Abstract

We propose and study a vector-borne disease model with direct transmission and age-structured differential susceptibility in the host population. Employing the approach of Lyapunov functionals, we establish a threshold dynamics completely characterized by the basic reproduction number, \({\mathcal {R}}_0\), that is, the disease-free equilibrium is globally asymptotically stable when \({\mathcal {R}}_0<1\) while the endemic equilibrium is globally asymptotically stable when \({\mathcal {R}}_0>1\).

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Titel: Global dynamics of a vector-borne disease model with direct transmission and differential susceptibility
verfasst von: Xiaoguang Li
Xuan Zou
Liming Cai
Yuming Chen
Publikationsdatum: 19.05.2022
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1/2023
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-022-01745-8

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