摘要
在生态系统中,种群的全局稳定性一直是研究的重点内容之一,考虑了一个同时具有时滞和功能性反应的捕食-被捕食模型,通过微分不等式给出了解的有界性和持久性的充分条件,利用构造Liapunov泛函得到模型的全局稳定性.
One of the most interesting topics in ecology systems is the global stability of species. In this paper, a predator-prey model of the two groups with functional response and time delay is considered. The persistence and bound of the positive equilibrium are obtained by using differential inequality and a criterion of global stability in the positive equilibrium is obtained by using a Liapunov functional method.
出处
《沈阳理工大学学报》
CAS
2008年第5期91-94,共4页
Journal of Shenyang Ligong University
基金
黑龙江省自然基金资助项目(A200502)
黑龙江省教育厅资助项目(10051061)
关键词
时滞
种群
持久性
全局稳定性
time delay
species
persistence
global stability
