时变竞争种群模型的反射函数及其周期解  

Reflective function and periodic solutions of the time-varying competition population model

作　　者：潘颖昕[1] 刘文俊[2] 

机构地区：[1]如皋高等师范学校数理与信息技术系,江苏如皋226500 [2]扬州大学数学科学学院,江苏扬州225002

出　　处：《山东理工大学学报（自然科学版）》2014年第5期23-27,共5页Journal of Shandong University of Technology:Natural Science Edition

基　　金：江苏省高等学校大学生实践创新训练计划资助项目(201311117084X)

摘　　要：利用反射函数法研究了时变竞争种群模型,得到了以某函数为反射函数时其简单微分系统的反射函数的结构形式,并给出了该系统具有一些形式反射函数的充分条件,最后应用所得结论探讨了该系统的周期解的几何形态.In this article we discuss the property of the periodic solutions of the time-varying competition population model by using the method of reflective function.We get the structure of the reflective function of the time-varying competition population model when it is a simple differential system.Then the sufficient conditions for the existence of some reflective function of the timevarying competition population model are established and the results are applied to discuss the property of the periodic solutions of the time-varying competition population model.

关 键 词：时变竞争种群模型 反射函数 周期解 

分 类 号：O175.14[理学—数学]