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A stochastic population model of cholera disease
2021
Discrete and Continuous Dynamical Systems. Series S
<p style='text-indent:20px;'>A cholera population model with stochastic transmission and stochasticity on the environmental reservoir of the cholera bacteria is presented. It is shown that solutions are well-behaved. In comparison with the underlying deterministic model, the stochastic perturbation is shown to enhance stability of the disease-free equilibrium. The main extinction theorem is formulated in terms of an invariant which is a modification of the basic reproduction number of the
doi:10.3934/dcdss.2021116
fatcat:gnojq6qgufebncxraihq6d7s3m