Threshold dynamics of a vector-host epidemic model with spatial structure and nonlinear incidence rate

Duan, Lian; Huang, Lihong

doi:10.1090/proc/15561

Threshold dynamics of a vector-host epidemic model with spatial structure and nonlinear incidence rate
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by Lian Duan and Lihong Huang

Proc. Amer. Math. Soc. 149 (2021), 4789-4797

DOI: https://doi.org/10.1090/proc/15561

Published electronically: August 4, 2021

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Abstract:

In this paper, we formulate and study a vector-host epidemic model with spatial heterogeneity and general incidence rate. Our analyses show that if $\mathcal {R}_{0}<1$ the disease-free steady state is globally asymptotically stable and the disease dies out; if $\mathcal {R}_{0}>1$ then the disease persists. The obtained results are new and extend the previous results in the literature.

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