捕食与被捕食者模型的反射函数与周期解  

Reflection function and periodic solution of a prey-predator population model

作　　者：周坚[1] 周正新[2] 

机构地区：[1]宿迁学院教师教育系,江苏宿迁223800 [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）》2009年第2期17-19,共3页Journal of Shandong University of Technology:Natural Science Edition

基　　金：国家自然科学基金资助项目(60774073);江苏省自然科学基金资助项目(BK2007075)

摘　　要：利用Mironenko的反射函数理论,给出了捕食与被捕食者模型的反射函数为F(t,x,y)=(x,F2(t,x,y))T时,F2(t,x,y)的具体表达式,并讨论了该模型周期解的性态.The necessary and sufficient conditions for the independence of reflective function of the prey-predator population model are given by Mironenko＇s theory of reflective function. The form of reflective function is established under these conditions. The conditions for the existence of the periodic solutions in this model has been established.

关 键 词：捕食与被捕食者模型 反射函数 周期解 

分 类 号：O175.14[理学—数学]