具有恐惧效应的密度依赖型捕食-食饵模型的共存解  

Coexistence solutions of a density-dependent predator-prey model with fear effect

作　　者：薛圣 李善兵 XUE Sheng;LI Shanbing(College of Mathematics and Statistics,Xidian University,Xi an 710126,China)

机构地区：[1]西安电子科技大学数学与统计学院,陕西西安710126

出　　处：《东北师大学报(自然科学版)》2025年第1期7-15,共9页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(12471171)。

摘　　要：研究了一类具有恐惧效应的密度依赖型捕食-食饵模型的共存解.利用线性化算子的谱理论,得到了平凡解和半平凡解的渐近稳定性;利用不动点指数理论,建立了共存解存在的充分条件.研究结果表明,恐惧效应和密度依赖都会对两物种共存产生明显的影响.Coexistence solutions of a density-dependent predator-prey model with fear effect are studied.By using the spectral theory of linearization operators,the asymptotic stability of trivial and semi-trivial solutions is obtained.By means of the fixed point index theory,the sufficient conditions for the existence of coexistence solutions are established.The results show that both fear effect and density dependence have a significant effect on the coexistence of two species.

关 键 词：捕食-食饵模型 恐惧效应 密度依赖 稳定性 共存解 

分 类 号：O175[理学—数学]