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具时滞和脉冲的植化相克系统周期正解
引用本文:汪东树,王全义.具时滞和脉冲的植化相克系统周期正解[J].华侨大学学报(自然科学版),2012,33(4):460-466.
作者姓名:汪东树  王全义
作者单位:华侨大学数学科学学院,福建泉州,362021
基金项目:国务院侨办科研基金资助项目,中央高校基本科研业务费资金资助项目;华侨大学科研基金资助项目
摘    要:考虑一类具时滞和脉冲的两种群周期浮游生物植化相克系统,利用一些分析技巧和重合度理论,并巧妙构造一个同伦变换,得到该系统存在周期正解新结果,推广并改进了相关结果.

关 键 词:植化相克  脉冲  时滞  重合度理论  周期解

Positive Periodic Solutions of Two-Specics Impulsive Systems with Time Delays in Plankton Allelopathy
WANG Dong-shu , WANG Quan-yi.Positive Periodic Solutions of Two-Specics Impulsive Systems with Time Delays in Plankton Allelopathy[J].Journal of Huaqiao University(Natural Science),2012,33(4):460-466.
Authors:WANG Dong-shu  WANG Quan-yi
Institution:(School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China)
Abstract:In this paper,two-species nonautonomous impulsive systems that arise in plankton allelopathy with time delays and periodic environmental factors are considered.By means of coincidence degree theory and some analysis techniques,we obtain some new results on the existence of positive periodic solutions to the system.Our results generalize and improve the related results.
Keywords:allelopathy  impulse  delay  coincidence degree theory  periodic solution
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