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

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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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Authors and Affiliations

  1. College of Mathematics and Statistics, Xinyang Normal University, Xinyang, 464000, People’s Republic of China

    Xiaoguang Li, Xuan Zou & Liming Cai

  2. Department of Mathematics, Wilfrid Laurier University, Waterloo, ON, N2L 3C5, Canada

    Yuming Chen

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  1. Xiaoguang Li
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  2. Xuan Zou
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  3. Liming Cai
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  4. Yuming Chen
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Correspondence to Liming Cai.

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Research is supported partially by the National Natural Science Foundation of China (No. 11871415), the Henan Province Distinguished Professor program, and the Natural Sciences and Engineering Research Council of Canada (NSERC)

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Li, X., Zou, X., Cai, L. et al. Global dynamics of a vector-borne disease model with direct transmission and differential susceptibility. J. Appl. Math. Comput. 69, 381–402 (2023). https://doi.org/10.1007/s12190-022-01745-8

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  • DOI: https://doi.org/10.1007/s12190-022-01745-8

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