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Published in 2021 at "Chaos"
DOI: 10.1063/5.0059031
Abstract: This paper studies a stochastic vector-host epidemic model with direct transmission in random environment, governed by a system of stochastic differential equations with regime-switching diffusion. We first examine the existence and uniqueness of a positive…
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Keywords:
vector host;
host epidemic;
transmission random;
model direct ... See more keywords
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Published in 2018 at "Nonlinearity"
DOI: 10.1088/1361-6544/aae1e0
Abstract: In this paper, we study a reaction-diffusion vector-host epidemic model. We define the basic reproduction number $R_0$ and show that $R_0$ is a threshold parameter: if $R_0\le 1$ the disease free steady state is globally…
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Keywords:
epidemic model;
model;
vector host;
host epidemic ... See more keywords