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一类非线性生态动力系统的持久性
引用本文:万新敏. 一类非线性生态动力系统的持久性[J]. 华中师范大学学报(自然科学版), 1994, 28(4): 445-450
作者姓名:万新敏
作者单位:空军雷达学院
摘    要:

关 键 词:数学生态学 持久性 捕食 生态动力系统 非线性

PERSISTENCE OF A CLASS OF NONLINEAR ECOLOGICAL DYNAMICAL SYSTEMS
Wan Xinmin. PERSISTENCE OF A CLASS OF NONLINEAR ECOLOGICAL DYNAMICAL SYSTEMS[J]. Journal of Central China Normal University(Natural Sciences), 1994, 28(4): 445-450
Authors:Wan Xinmin
Abstract:In this paper, we study a class of nonlinear dynamical systems of twospecies prey-predator model, described by ordinary differential equations. The prey can diffuse between two patches. One is its refuge, and the predator is confine to another. We discuss persistence, and existence and global stability of nonnegative equilibria for the system. Conditions for persistence and uniform persistence of the system are obtained.
Keywords:patch  persistence  uniform persistence  global stability
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