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周期竞争Lotka-Volterra系统的持久性和灭绝性 被引量:1

Permanence and Extinction in a Periodic Competitive Lotka-Volterra System
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摘要 研究周期竞争Lotka-Volterra系统,改进了两种群竞争排斥的充分条件,并且把竞争排斥原理推广到多种群的情形,给出了多种群系统中种群持久和灭绝的充分条件. A periodic competitive Lotka-Volterra system is considered in this paper. Sufficient conditions for principle of competitive exclusion are improved. The principle of competitive exclusion is generalized to multi-species case, and sufficient conditions for permanence and extinction of multi-species periodic competitive system are given.
出处 《数学的实践与认识》 CSCD 北大核心 2010年第14期245-251,共7页 Mathematics in Practice and Theory
基金 山东省自然科学基金(ZR2009AL010) 山东省高等学校科技计划项目(J09LA51) 鲁东大学创新团队建设项目(08-CXB005)
关键词 LOTKA-VOLTERRA系统 持久性 灭绝性 LOGISTIC方程 周期解 Lotka-Volterra system permanence extinction logistic equation periodic solution
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参考文献11

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