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干旱区具脉冲灌溉的绿洲植被退化动力学模型分析(英文) 被引量:1

Analysis of the Oasis Vegetation Degradation Dynamical Model with Impulsive Irrigation in Arid Area
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摘要 本文研究干旱区具脉冲灌溉的绿洲植被退化动力学模型.证明此模型的所有解一致完全有界.得到此模型的绿洲植被灭绝周期解的全局渐近稳定的条件.也得到此模型持久的条件.结论是脉冲灌溉方法为干旱区雨量减少控制绿洲植被退化提供可靠的策略基础. In this work,we establish an oasis vegetation degradation dynamical model with impulsive irrigation in arid area.We prove that all solutions of the model are uniformly ultimately bounded.The globally asymptotically stable condition of oasis vegetation-extinction periodic solution of the model is obtained.The permanent condition for the model is also obtained.It is concluded that the approach of impulsive irrigation provides reliable tactic basis for controlling of the oasis vegetation degradation while the rainfall decreases in arid area.
出处 《应用数学》 CSCD 北大核心 2016年第2期409-417,共9页 Mathematica Applicata
基金 Supported by the National Natural Science Foundation of China(11361014,10961008) “125”Major Scientific and Technological Project of Guizhou Education Department(2012011)
关键词 脉冲灌溉 绿洲植被退化 绿洲植被灭绝 持久 Impulsive irrigation oasis vegetation degradation Oasis vegetation extinction Permanence
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