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食饵有补充具功能Ⅱ类二维捕食-食饵模型的正周期解与概周期解
引用本文:唐小平,李靖云,高文杰.食饵有补充具功能Ⅱ类二维捕食-食饵模型的正周期解与概周期解[J].柳州师专学报,2007,22(1):112-117.
作者姓名:唐小平  李靖云  高文杰
作者单位:1. 柳州师范高等专科学校,数学与计算机科学系,广西,柳州,545004
2. 吉林大学,数学研究所,吉林,长春,130012
基金项目:国家自然科学基金,面向21世纪教育振兴行动计划(985计划)
摘    要:对于食饵有补充具有功能反应Ⅱ类的非定常的捕食-食饵模型,利用微分不等式讨论了周期解的存在性及其全局吸引性、概周期解的存在性及其在壳扰动下的稳定性.

关 键 词:捕食-食饵模型  周期解  概周期解  壳扰动下的稳定性
文章编号:1003-7020(2007)01-0112-06
修稿时间:2006-09-18

Positive Periodic and Almost Periodic Solutions to Dimensional Predator-Prey Model with Prey Supplements
TANG Xiao-ping,LI Jing-yun,GAO Wen-jie.Positive Periodic and Almost Periodic Solutions to Dimensional Predator-Prey Model with Prey Supplements[J].Journal of Liuzhou Teachers College,2007,22(1):112-117.
Authors:TANG Xiao-ping  LI Jing-yun  GAO Wen-jie
Institution:1. Department of Mathematics and Computer Science, Liuzhou Teachers College, Liuzhou, Guangxi 545004 ; 2. Institute of Mathematics, Jilin University, Changchun, Jilin 130012, China
Abstract:This paper discusses the positive periodic solution and the almost periodic solution to dimensional predator-prey model with prey supplements by using the differential inequality, and its stability under disturbances in the shell.
Keywords:predator-prey  periodic solution  almost periodic solution  stability under disturbances in the shell
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