摘要
用Dulac函数法讨论了一类被开发捕食系统不存在极限环的充分条件,用Hopf分支方法及张芷芬唯一性定理证明了极限环的存在唯一性,并给出生态学意义。
The predator-prey system is discussed. The nonexistence of limit cycle is exploited by Dulac function. The conditions of existence and uniqueness of the limit cycle around the neighborhood of the positive equilibrium are exploited by Hopf burfication and Uniqueness Theorem of Zhang-zhifen. The significance of the conclusions is interpreted at the same time.
出处
《科学技术与工程》
2008年第5期1275-1277,1281,共4页
Science Technology and Engineering
基金
国家自然科学基金(60604004)
河北省自然科学基金数学研究专项(07M005)资助
关键词
捕食系统
平衡点
极限环
存在性
唯一性
predator-prey system equilibrium limit cycle existence uniqueness
