摘要
讨论了一类具有避难所和脉冲捕获的捕食系统.因为食饵种群具有避难所,所以在一定条件下可以使捕食者灭绝,即当脉冲周期小于某一临界值时,存在全局稳定的捕食者灭绝周期解,脉冲周期增大至大于临界值时,平凡捕食者灭绝周期解失去稳定性并产生正周期解,利用分支理论研究正周期解的存在性.进而,利用比较定理等方法确定了持续生存的条件.
A kind of system with refuges and impulsive harvest is discussed in this paper. Because prey species have refuges, predator may be extinct under some conditions. There exists a global stable predator eradication period solution when the impulsive period is less than a certain critical value. When the impulsive period increase,the trivial periodic predator-eradication solution loses its stability and a positive periodic solution comes out. Then the existence of the positive periodic solution is studied by the bifurcation theory, and sustained exist conditions is established by the method of comparison of theories.
出处
《宁夏大学学报（自然科学版）》
CAS
北大核心
2010年第1期20-25,共6页
Journal of Ningxia University(Natural Science Edition)
基金
内蒙古高等学校科研基金资助项目(NJzc08134)
