摘要
建立了一类状态反馈脉冲控制的不育单种群模型,当害鼠的数量达到经济危害水平时,通过灭杀,从而控制种群数量的增长。首先利用微分方程几何理论和后继函数的方法得到系统阶1周期解得存在性,并给出了阶1周期解得渐近稳定性的充分条件。
In this paper,a single model with contraception impulsive state control is proposed.When it reaches the critical case,the control measures are taken by harvesting.The sufficient conditions for existences of order-1 periodic solution are obtained by differential equation geometry theory and the method of successor function.The order-1 periodic solution is orbitally asymptotically stable under some conditions.
出处
《山西大同大学学报（自然科学版）》
2013年第3期12-15,共4页
Journal of Shanxi Datong University(Natural Science Edition)
基金
运城学院科研项目[YQ-2010011]
关键词
状态脉冲
不育
阶1周期解
impulsive state
contraception
order-1 periodic solution
