Effect of toxicant on the dynamics of a delayed diffusive predator-prey model

被引：0
作者：
Honglan Zhu
Xuebing Zhang
Guanglan Wang
Ling Wang
机构：
[1] Huaiyin Institute of Technology,Business School
[2] Nanjing University of Information Science and Technology,College of Mathematics and Statistics
[3] Nanjing University of Aeronautics and Astronautics,College of Continuing Education
[4] Nanjing Vocational University of Industry Technology,undefined
来源：
Journal of Applied Mathematics and Computing | 2023年 / 69卷
关键词：
Toxicant; Delay; Diffusion; Bifurcation; Spatial pattern;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we investigate a delayed diffusive predator-prey model affected by toxic substance. First, the boundedness and persistence property of the model are established. Then by analyzing the associated characteristic equation, we give some conditions for the existence of Hopf bifurcation, Turing bifurcation and Turing-Hopf bifurcation. Furthermore, we study Hopf bifurcation and Turing-Hopf bifurcation induced by the delay. Finally, numerical simulations are given to illustrate our theoretical results. The numerically observed characteristics accord well with the theoretically predicted results. Theoretical and numerical simulations indicate that toxic substance affect the system greatly.
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页码：355 / 379
页数：24
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