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Appl. Sci. 2016, 6(4), 118; doi:10.3390/app6040118

Dynamics of a Stochastic Intraguild Predation Model

1,2,†
,
2,†
and
2,†,*
1
College of Automation, Harbin Engineering University, Harbin, Heilongjiang 150001, China
2
School of Mathematical Sciences, Heilongjiang University, 74 Xuefu Street, Harbin, Heilongjiang 150080, China
These authors contributed equally to this work.
*
Author to whom correspondence should be addressed.
Academic Editors: Yang Kuang, Meng Fan, Shengqiang Liu and Wanbiao Ma
Received: 25 December 2015 / Revised: 13 April 2016 / Accepted: 14 April 2016 / Published: 22 April 2016
(This article belongs to the Special Issue Dynamical Models of Biology and Medicine)
View Full-Text   |   Download PDF [2715 KB, uploaded 22 April 2016]   |  

Abstract

Intraguild predation (IGP) is a widespread ecological phenomenon which occurs when one predator species attacks another predator species with which it competes for a shared prey species. The objective of this paper is to study the dynamical properties of a stochastic intraguild predation model. We analyze stochastic persistence and extinction of the stochastic IGP model containing five cases and establish the sufficient criteria for global asymptotic stability of the positive solutions. This study shows that it is possible for the coexistence of three species under the influence of environmental noise, and that the noise may have a positive effect for IGP species. A stationary distribution of the stochastic IGP model is established and it has the ergodic property, suggesting that the time average of population size with the development of time is equal to the stationary distribution in space. Finally, we show that our results may be extended to two well-known biological systems: food chains and exploitative competition. View Full-Text
Keywords: intraguild predation; random perturbations; persistence; stationary distribution; global asymptotic stability intraguild predation; random perturbations; persistence; stationary distribution; global asymptotic stability
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Xing, Z.; Cui, H.; Zhang, J. Dynamics of a Stochastic Intraguild Predation Model. Appl. Sci. 2016, 6, 118.

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