摘要
为了研究具有B-D功能反应的食饵-捕食系统中的生物防治问题,首先利用Floquet理论获得害虫灭绝周期解局部渐近稳定的条件,进一步利用比较定理得到害虫灭绝周期解全局渐近稳定的条件,并讨论害虫的最终灭绝性质关于系统初始种群数量的依赖关系.
In order to study a biological control problem in the predator‐prey system with B‐D function response ,the condition to ensure the local asymptotic stability of the pest‐eradication periodic solution is obtained by the Floquet theory .Further ,the condition for global asymptot‐ic stability is established by the method of comparison ,and the dependence of the eventual ex‐tinction of the pest on the initial population number is discussed .
出处
《纺织高校基础科学学报》
CAS
2015年第4期419-424,共6页
Basic Sciences Journal of Textile Universities
基金
国家自然科学基金资助项目(612722435)