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具有Allee效应与脉冲扩散的捕食系统的动力学分析 被引量:1
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作者 刘霞 刘艳伟 《河南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第5期24-27,共4页
提出了一类被捕食者具有Allee效应,捕食者具有脉冲扩散的微分系统.利用脉冲微分方程的比较原理和相关理论分别讨论了系统的被捕食者-灭绝周期解的存在性、局部稳定性及全局吸引性.
关键词 全局吸引 脉冲扩散 ALLEE效应 被捕食者控制
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STABILIZATION OF A KIND OF PREY-PREDATOR MODEL WITH HOLLING FUNCTIONAL RESPONSE 被引量:1
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作者 Xi LIU Qingling ZHANG Lichun ZHAO 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2006年第3期436-440,共5页
The stabilization problem of a kind of prey-predator model with Holling fimctional response is investigated. By approximate linearization approach, a feedback control law stabilizing the closed- loop system is obtaine... The stabilization problem of a kind of prey-predator model with Holling fimctional response is investigated. By approximate linearization approach, a feedback control law stabilizing the closed- loop system is obtained. On the other hand, by exact linearization approach, a suitable change of coordinates in the state space and a feedback control law render the complex nonlinear system to be a linear controllable one such that the positive equilibrium point of the closed-loop system is globally asymptotically stable. 展开更多
关键词 Approximate linearization asymptotically stable exact linearization prey-predator model state feedback control.
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