Dynamics of a Stochastic Intraguild Predation Model

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.

Analysis of a stochastic cooperation-competition model

“…These random factors of the environment are not only an integral part of any realistic ecosystem, but they also may lead to complete extinction of populations. The existing research works have investigated dynamic properties of stochastic predator-prey models [7][8][9][10][11][12], stochastic competitive models [13][14][15][16][17][18], stochastic mutualism models [19][20][21][22][23][24] and stochastic three-species models [25][26][27][28][29][30][31][32][33]. To the best of our knowledge, there are few studies to analyze the dynamics of a stochastic cooperation-competition model.…”

Preface for the Special Issue on Dynamical Models of Biology and Medicine

“…There are also four papers in the general area of mathematical ecology. The work of Zejing Xing et al [5] deals with the coexistence of multiple populations species in the context of intraguild predation (IPG). IPG is an ecological phenomenon, which occurs when one predator species attacks another predator species with which it competes for a shared prey species.…”