Xiang Zhang, Ming Kang, Fengjie Geng
Abstract:
In this article, we propose and analyze stage-structured stochastic
predator-prey model, where a nonlinear perturbation is considered.
Firstly, we prove that the stochastic system has a unique global positive
solution. And then we discuss the ergodic stationary distribution of the
random system. In addition, we obtain sufficient conditions for the extinction of
populations. Finally, numerical simulations verify our theoretical results and
show that nonlinear perturbation has more practical significance than
linear perturbation.
Submitted September 7, 2024. Published April 2, 2025.
Math Subject Classifications: 34F05, 34E10, 34D20, 92B05.
Key Words: Predator-prey model; stage structure; nonlinear perturbation; global positive solution; stationary distribution.
DOI: 10.58997/ejde.2025.32
Show me the PDF file (673 KB), TEX file for this article.
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Xiang Zhang School of Science China University of Geosciences Xueyuan Road, 100083, Beijing, China email: xiangzhang_hb@163.com |
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Ming Kang School of Science China University of Geosciences Xueyuan Road, 100083, Beijing, China email: mingkang_ah@163.com |
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Fengjie Geng School of Science China University of Geosciences Xueyuan Road, 100083, Beijing, China email: gengfengjie_hbu@163.com |
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