摘要
首先给出一类具有相互干扰的两种群捕食系统,分析了其解的有界性及正平衡点的存在性,证明了正平衡点是全局渐近稳定的,且系统在R2+内不存在极限环,并通过数值模拟验证了结论的正确性,最后简单地讨论了连续收获效应对系统的影响.
A kind of predator-prey system with mutual interference is presented firstly, then the boundedness of the solution and the existence of positive equilibrium are analysized. It is proved that positive equilibrium is globally aympotically stable and that the system has no limit cycle in R^2. Furthermore numerical stimulation verifes the results obtained in this paper. Finally,the effects of continuous harvest on the system is discussed tersely.
出处
《信阳师范学院学报（自然科学版）》
CAS
北大核心
2006年第3期255-257,共3页
Journal of Xinyang Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(10471117)
关键词
捕食系统
平衡点
稳定性
极限环
predator-prey system
equilibrium
stability
limit cycle
