Dynamics of a vector-host model under switching environments
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B(2021)
Abstract
In this paper, the stochastic vector-host model has been proposed and analysed using nice properties of piecewise deterministic Markov processes (PDMPs). A threshold for the stochastic model is derived whose sign determines whether the disease will eventually disappear or persist. We show mathematically the existence of scenarios where switching plays a significant role in surprisingly reversing the long-term properties of deterministic systems.
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Key words
Vector-host model,PDMP,extinction,persistence,switching
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