期刊名称：Lecture Notes in Engineering and Computer Science
印刷版ISSN：2078-0958
电子版ISSN：2078-0966
出版年度：2022
卷号：52
期号：2
语种：English
出版社：Newswood and International Association of Engineers
摘要：We consider the dynamical behaviors of the singlespecies logistic model considering Allee effect together withfeedback control in this paper. By using the method of formalpower series of Poincar´e, we put forward sufficient conditionsfor the positive equilibrium to be a stable (unstable) fine?focus with order at 1 or a unstable fine-focus with order at 2.Qualitative analysis of the model indicates the ultimate bound?edness of the positive solutions to the system, and when thepositive equilibrium is unstable, we obtain sufficient conditionsthat sustain a unique stable limit cycle. Finally, numericalsimulations are conducted to validate the major conclusions.
关键词：Single species Logistic model; Allee Effect;Feedback control; Bifurcation; Limit cycle.
