一类具有不同扩散速率的蚊媒模型的动力学

doi:10.6040/j.issn.1671-9352.0.2023.434

Abstract

Abstract: In order to study the impact of host dispersal and spatial heterogeneity on the spread of mosquito-borne diseases, a reactive-diffusion mosquito-borne disease model with different diffusion rates is established. Firstly, the next-generation operator theory is applied to define the basic reproduction number R₀ of the model, and the asymptotic behavior of R₀ as the diffusion coefficient tending to zero and infinity is analyzed respectively. Secondly, according to the persistence theory of dynamical systems, it is proved that the sign of R₀-1 determines the global threshold dynamics of the model. Finally, numerical simulations validate the theoretical results and show that spatial heterogeneity may increase the risk of disease transmission.

Key words: mosquito-borne diseases, spatial heterogeneity, basic reproduction number, threshold dynamics

CLC Number:

YA Bao, HE Jie. Dynamics of a mosquito-borne model with distinct dispersal rates[J].JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2025, 60(12): 38-48.

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Dynamics of a mosquito-borne model with distinct dispersal rates

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