The stability of a perturbed eco-epidemiological model with Holling type II functional response by white noise

Qiumei Zhang; Daqing Jiang; Li Zu

doi:10.3934/dcdsb.2015.20.295

Article Contents

2015, Volume 20, Issue 1: 295-321. Doi: 10.3934/dcdsb.2015.20.295

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The stability of a perturbed eco-epidemiological model with Holling type II functional response by white noise

1.
School of Mathematics and Statistics, Northeast Normal University, Changchun 130024

Received: July 31, 2013

Revised: June 30, 2014

Published: December 2014

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Abstract

In this paper, we have proposed and analyzed a perturbed eco-epidemiological model with Holling type II functional response by white noise. By Lyapunov analysis methods, we prove the stochastic stability, its long time behavior around the equilibrium of deterministic eco-epidemiological model and the stochastic asymptotic stability. Numerical simulations for a hypothetical set of parameter values are presented to illustrate the analytical findings.

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Mathematics Subject Classification: Primary: 92B05, 93E15, 60H10; Secondary: 34E10.

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