食饵具有强Allee效应且捕食者有合作的扩散Leslie-Gower捕食-食饵模型的动力学性质  

Dynamical properties of a diffusive Leslie-Gower prey-predator model with strong Allee effect in prey and cooperation in predator

作　　者：刘桂瀛 徐本龙[1] LIU Guiying;XU Benlong(Mathematics and Science College,Shanghai Normal University,200234,Shanghai,PRC)

机构地区：[1]上海师范大学数理学院,上海市200234

出　　处：《曲阜师范大学学报（自然科学版）》2022年第3期75-82,共8页Journal of Qufu Normal University(Natural Science)

摘　　要：研究了一类食饵具有强Allee效应且捕食者有合作的Leslie-Gower捕食-食饵模型的动力学性质和稳态模式.利用泛函分析中的谱(特征值)理论,偏微分方程中的正则性理论,上下解方法等工具分析了非负常平衡解及其稳定性,然后研究了整体解的存在性及动力学性质.This paper is devoted to the study of the dynamical properties and stationary patterns of a diffusive Leslie-Gower prey-predator model with strong Allee effect in the prey population and cooperation in predator.Using the spectral(eigenvalue)theory in functional analysis,the regularity theory in partial differential equations and the upper and lower solution method,the nonnegative constant equilibrium solution and its stability are analyzed.Then the existence and dynamical properties of the global solution are studied.

关 键 词：强Allee效应 捕食合作 Leslie-Gower捕食-食饵模型 

分 类 号：O175.2[理学—数学]