应用数学2016，Vol.29Issue(3)：678-685,8.
一类具有Allee效应的Logistic模型的渐近解
Asymptotic Solutions to a Class of Logistic Models with Allee Effect
摘要
Abstract
A class of Logistic model and generalized Logistic harvest model with Allee effect are investigated in this Daper.Thanks to the slowly varying property of parameters,the original models are transformed into the corresponding problems with singular perturbation.The stability of solutions is given by using the theory of dynamical systems.The formal asymptotic solutions are constructed by using the method of composite expansion in the corresponding stable domains,respectively,and the existence and uniformly validity of solutions are proved.关键词
Allee效应/合成展开法/奇异摄动Key words
Allee effect/Method of composite expansion/Singular perturbation分类
数理科学引用本文复制引用
聂冬冬,谢峰..一类具有Allee效应的Logistic模型的渐近解[J].应用数学,2016,29(3):678-685,8.基金项目
上海市自然科学基金(15ZR1400800) （15ZR1400800）
