干旱区具脉冲灌溉的绿洲植被退化动力学模型分析(英文)  

Analysis of the Oasis Vegetation Degradation Dynamical Model with Impulsive Irrigation in Arid Area

作　　者：焦建军[1] 蔡绍洪[1] 李利梅[2] 

机构地区：[1]贵州财经大学数统学院,贵州贵阳550025 [2]贵州财经大学继续教育学院,贵州贵阳550025

出　　处：《应用数学》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)

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.

关 键 词：脉冲灌溉 绿洲植被退化 绿洲植被灭绝 持久 

分 类 号：O175.2[理学—数学]