Allee效应对Lotka-Volterra捕食-食饵模型的动力学行为影响  

Influence of Allee effect on the dynamic behaviors of Lotka-Volterra predator-prey model

作　　者：周起梅 林思佳 陈凤德[1] 陈晓英[2] ZHOU Qimei;LIN Sijia;CHEN Fengde;CHEN Xiaoying(College of Mathematics and Statistics,Fuzhou University,Fuzhou,Fujian 350108,China;College of Zhicheng,Fuzhou University,Fuzhou,Fujian 350002,China)

机构地区：[1]福州大学数学与统计学院,福建福州350108 [2]福州大学至诚学院,福建福州350002

出　　处：《福州大学学报（自然科学版）》2022年第6期723-728,共6页Journal of Fuzhou University(Natural Science Edition)

基　　金：福建省自然科学基金资助项目(2019J01841,2019J01651)。

摘　　要：考虑一类食饵具有Allee效应的Lotka-Volterra捕食-食饵模型,研究Allee效应对生物种群的影响.探讨系统平衡点的存在性及其稳定性,利用数值模拟Allee常数m对种群动力学的影响.研究表明:Allee效应会使捕食者在稳态下的种群密度增加,并且在种群初始密度相同的情况下,受Allee效应影响的捕食-食饵系统需要更长的时间才能达到稳态解.A Lotka-Volterra predator-prey model with Allee effect is considered,and the influence of Allee effect on the population is studied.The existence and stability of equilibrium point of the system is discussed.The influence of Allee constant m on population dynamics is studied by numeric.The results show that Allee effect increases the final density of the predator in the steady state,and it takes a long time to reach the steady-state solution of the predator-prey system under the same initial population density.

关 键 词：捕食-食饵模型 生物种群 种群密度 种群动力学 ALLEE效应 稳态解 

分 类 号：O175.4[理学—数学]