Dynamics of an oasis vegetation degradation model with stage structure and impulsive irrigation in arid area

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• 作者：Jianjun Jiao ; Shaohong Cai ; Limei Li
• 刊名：Journal of Applied Mathematics and Computing
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：51
• 期：1-2
• 页码：257-269
• 全文大小：431 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Computational Mathematics and Numerical Analysis
  Applied Mathematics and Computational Methods of Engineering
  Theory of Computation
  Mathematics of Computing
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1865-2085
• 卷排序：51

文摘

In this work, we consider the influence of the water resources on the oasis vegetation, and establish oasis vegetation degradation model with stage structure and impulsive irrigation in arid area. We prove that all solutions of (2.1) are uniformly ultimately bounded, and prove the oasis vegetation-extinction periodic solution is globally attractive. The condition for permanence of system (2.2) is also obtained. It is concluded that the approach of impulsive irrigation provides reliable tactic basis for preventing the oasis vegetation from degradation while the rainfall decreases in arid area.KeywordsImpulsive irrigationStage structureOasis vegetation degradationOasis vegetation-extinctionPermanence