一类具有恐惧效应的食饵-捕食者系统的研究  

Research of a kind of predator-prey system with fear effect

作　　者：石志高 SHI Zhigao(Teaching and Research Department of Mathematics and Physics,Fujian Jiangxia University,Fuzhou 350108,China)

机构地区：[1]福建江夏学院数理教研部,福建福州350108

出　　处：《延边大学学报（自然科学版）》2020年第1期28-31,共4页Journal of Yanbian University（Natural Science Edition）

基　　金：福建省中青年教师教育科研项目(JT180586)。

摘　　要：研究一类具有恐惧效应的食饵捕食者系统.首先通过分析系统的平衡点性态,得出了系统存在正平衡点的条件;其次利用Dulac判别法得出了系统在正平衡点附近不存在极限环的结论;最后利用数据仿真验证了所得结论的正确性.A kind of predator-prey system with fear effect is considered.Firstly,the equilibrium state of the system is analyzed,and the condition for the existence of positive equilibrium point is obtained.Secondly,the conclusion that there is no limit cycle near the positive equilibrium point is obtained by using Dulac discriminant method.Finally,the conclusion is verified by data simulation.

关 键 词：恐惧效应 食饵捕食者系统 极限环 数据仿真 

分 类 号：O175.12[理学—数学]