Asymptotic behavior of stochastic three-species predator-prey systems with white and Levy noise
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Date
2020-07-06
Authors
Zhao, Yihan
Xia, Yuanpei
Yang, Zhichun
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we propose a three-species prey-predator system with Holling II functional response and stochastic perturbations involving white noise and Levy noise. Firstly, we study the existence and uniqueness of a global positive solution and stochastic ultimate boundedness. Then, we obtain sufficient conditions for stability, extinction, strongly persistence in the mean and stochastic permanence in the sense of probability for the stochastic system. The results show that both white noise and Levy noise may change the asymptotic properties of the population system. Finally, some examples that chaotic dynamics can be influenced by stochastic noises.
Description
Keywords
Predator-prey system, Levy noise, White noise, Extinction, Stochastic permanence
Citation
Zhao, Y., Xia, Y., & Yang, Z. (2020). Asymptotic behavior of stochastic three-species predator-prey systems with white and Levy noise. <i>Electronic Journal of Differential Equations, 2020</i>(71), pp. 1-17.
Rights
Attribution 4.0 International