Influence of toxic substances on dynamical behavior of a delayed diffusive predator-prey model  

作　　者：Honglan Zhu Xuebing Zhang Hao Zhang 

机构地区：[1]Business School,Huaiyin Institute of Technology Huai'an 223003,P.R.China [2]College of Mathematics and Statistics Nanjing University of Information Science and Technology Nanjing210044,P.R.China [3]Jiangsu Key Laboratory of Trafic and Transportation Security Huaiyin Institute of Technology,Huaian 223003,P.R.China

出　　处：《International Journal of Biomathematics》2024年第2期177-200,共24页生物数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(71874067);Jiangsu Province Post Doctoral Fund(2020Z217);the Agricultural Science and Technology Independent Innovation Fund of Jiangsu Province(CX(20)3074);the Six Industry Talent Peak Project fund of Jiangsu Province(RJFW-049 and JNHB-115).

摘　　要：In this paper,we propose and investigate a delayed diffusive predator-prey model affected by toxic substances.We first study the boundedness and persistence property of the model.By analyzing the associated characteristic equation,we obtain the conditions for the existence of steady state bifurcation,Hopf bifurcation and Turing bifurcation.Furthermore,we also study the Hopf bifurcation induced by the delay.Finally,our theoretical results are verified by numerical simulation.The numerical observation results are in good agreement with the theoretically predicted results.Theoretical and numerical simulations indicate that toxic substances have a great impact on the dynamics of the system.

关 键 词：TOXICANT DELAY DIFFUSION BIFURCATION spatial pattern 

分 类 号：O17[理学—数学]