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一类具有时滞的n种群模型的稳定性分析

Global Stability in a n-Species System With Time Delay
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摘要 在生态系统中,种群的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n种群模型,其中一个为被捕食者,其它的为捕食种群,通过微分不等式和构造合适的Lyapunov泛函给出了解的有界性和正平衡点全局稳定的充分条件,并给出模型的数值模拟结果。 others-studied. stability One of the predator) ratio By differential of the positive most interesting topics in ecology systems is the stability of species. It isa n-species (one-prey, the -dependent predator--prey system with time delay and functional response at the seme time and was inequality constructing suitable Lyapunov functional, a sufficient condition was obtained for the global equilibrium of the system. Finally, the numerical simulation result of population model was given.
出处 《石油化工高等学校学报》 EI CAS 2007年第2期84-87,共4页 Journal of Petrochemical Universities
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 全局稳定 LYAPUNOV泛函 种群 Time delay Global stability Lyapunov functional Species
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