Analysis of a Bailey–Dietz model for vector-borne disease under regime switching

Jiang Xu, Tao Chen and Xiangdan Wen

Physica A: Statistical Mechanics and its Applications, 2021, vol. 580, issue C

Abstract: In this paper, a stochastic Bailey–Dietz model with standard incidence under Markovian switching is proposed to study the spread of the vector-borne disease. For this purpose, we first obtain sufficient criteria for persistence in the mean of the disease. Then in the case of persistence, we also derive sufficient criteria for positive recurrence of the solutions to the model by establishing a suitable stochastic Lyapunov function with regime switching. Furthermore, we establish adequate conditions for complete eradication of the infectious disease. Finally, concluding remarks and future directions are presented.

Keywords: Bailey–Dietz model; Vector-borne disease; Persistence and extinction; Positive recurrence; Markovian switching (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:580:y:2021:i:c:s0378437121004027

DOI: 10.1016/j.physa.2021.126129

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