一类具有恐惧效应的Holling-Ⅲ类时滞捕食系统  

A delayed Holling-Ⅲtype predator-prey system with fear effect

作　　者：张子振[1] 张伟诗 Zhang Zizhen;Zhang Weishi(School of Management Science&Engineering,Anhui University of Finance&Economics,Bengbu 233030,Anhui,China)

机构地区：[1]安徽财经大学管理科学与工程学院,安徽蚌埠233030

出　　处：《江苏师范大学学报（自然科学版）》2022年第2期42-45,51,共5页Journal of Jiangsu Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(12061033,12001001)。

摘　　要：捕食者种群在追逐捕获食饵种群过程中,食饵种群会表现出恐惧感.研究一类具有恐惧效应的Holling-Ⅲ类时滞捕食系统.以捕食者的妊娠时滞为分岔参数,讨论系统Hopf分岔的存在性,推导出确定分岔周期解稳定性和周期大小的公式.通过仿真示例验证了所得结果的正确性.In the process of being captured by the predator population,the prey population will show a sense of fear.A delayed Holling-Ⅲtype predator-prey system with fear effect is studied.Taking the gestation delay of the predator population as bifurcating parameter,the existence of Hopf bifurcation is discussed,and formulas for determining direction and stability of the bifurcating periodic solutions are derived.Finally,a simulation example is presented to confirm the validity of the obtained results.

关 键 词：恐惧效应 Holling-Ⅲ类功能性反应 HOPF分岔 时滞 

分 类 号：O175[理学—数学]