Dynamics of an avian influenza model with half-saturated incidence

Zhenfeng Shi, Xinhong Zhang and Daqing Jiang

Applied Mathematics and Computation, 2019, vol. 355, issue C, 399-416

Abstract: In this paper, an avian influenza epidemic model with half saturated incidence is investigated. Firstly we study the local asymptotical stability of equilibria of the deterministic model. Then for the stochastic model, the existence of the global positive solution is proved and different thresholds are obtained. In addition, we get sufficient conditions for the existence of an ergodic stationary distribution by using Has’minskii theory and Lyapunov function. Finally, some numerical simulations illustrate the analytical results.

Keywords: Avian influenza model; Stability; Persistence and extinction; Stationary distribution (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:355:y:2019:i:c:p:399-416

DOI: 10.1016/j.amc.2019.02.070

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