Stability and spatially inhomogeneous patterns induced by nonlocal prey competition in a generalist predator-prey system  

作　　者：Shuyang Xue Feng Yang Yongli Song 

机构地区：[1]School of Mathematics Hangzhou Normal University Hangzhou 311121,P.R.China

出　　处：《International Journal of Biomathematics》2024年第8期223-243,共21页生物数学学报(英文版)

基　　金：supported by grants from the National Natural Science Foundation of China(Nos.11971143 and 12071105);the Natural Science Foundation of Zhejiang Province(No.LZ23A010001).

摘　　要：In this paper,we investigate the influence of the nonlocal prey competition on the spatiotemporal dynamics for a generalist predator-prey system.The condition of stability and bifurcations is clearly determined.Our results show that when the prey spreads quickly,the nonlocal intraspecific competition of the prey does not affect the dynamics,however,when the prey spreads slowly,it can affect the dynamics.Besides,no Hopf bifurcation occurs if the ratio of the growth rate of the predator to prey is larger,otherwise,system has Hopf bifurcation and Hopf Bogdanov-Takens bifurcation and so on.It is surprised that the system only with the nonlocal prey competition has more rich dynamics than the system with the nonlocal competitions in both the prey and the predator.The coexistence of bistable spatially inhomogeneous steady states is also found.

关 键 词：Generalist predator nonlocal prey competition STABILITY bifurcation 

分 类 号：O175.2[理学—数学] O175[理学—基础数学]