摘要
利用不动点指数理论给出了一类带有加法Allee效应的捕食-食饵模型正解存在的充分条件,讨论了正解的惟一性和稳定性,运用扰动理论研究了参数b2充分大时正解的多重性.结果表明在一定条件下系统存在多重解和惟一解.
The sufficient conditions of the existence of positive solutions for a predator-prey model with additive Allee effect are given by means of the fixed point index.Then,the uniqueness and stability of positive solutions are investigated.Finally,the multiplicity of positive solutions is determined by resorting to perturbation theory when b2 is sufficiently large.The results show that the system has multiple solutions and unique solution under appropriate conditions.
出处
《武汉大学学报（理学版）》
CAS
CSCD
北大核心
2015年第4期319-322,共4页
Journal of Wuhan University:Natural Science Edition
基金
中央高校基本科研业务费专项资金资助(GK201302025)
陕西省教育厅专项科研计划资助项目(14JK1035)
宝鸡文理学院重点科研项目(ZK15039)
