具有Holling II型改造率的土地动力学模型分析

陈申申,华静,张发祥,李医民

系统科学与数学 ›› 2017, Vol. 37 ›› Issue (3) : 819-827.

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系统科学与数学 ›› 2017, Vol. 37 ›› Issue (3) : 819-827. DOI: 10.12341/jssms13105
论文

具有Holling II型改造率的土地动力学模型分析

    陈申申,华静,张发祥,李医民
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Dynamical Analysis of Land Model with Holling II Land Reclamation Rate

    CHEN Shenshen, HUA Jing ,ZHANG Faxiang, LIYimin
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摘要

结合最新遥感影像对土地进行分类,根据我国土地资源有限且人口众多这一国情,引入了土地转化的饱和因素,构建了具有Holling II型改造率的土地动力学模型,给出了各类土地资源的正平衡点和基本再生数~R0.证明了正平衡点处的全局稳定性.数值模拟说明了结论的合理性,研究结果为政府合理制定土地利用调控策略提供决策依据.

Abstract

This paper introduces the saturation factor of land transition and builds the dynamic model with Holling II type transformation rate of land according to situation of the limited land resources and large population in our country, combined with the latest remote sensing image classification of land situation, the positive equilibrium point and the basic reproductive rate R0 are given in this paper. We prove that the positive equilibrium point is globally asymptotically stable. Numerical simulations are carried out to illustrate the rationality of the results, this is of great significance for the government to develop a reasonable strategy to control land-use change.

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陈申申 , 华静 , 张发祥 , 李医民. 具有Holling II型改造率的土地动力学模型分析. 系统科学与数学, 2017, 37(3): 819-827. https://doi.org/10.12341/jssms13105
CHEN Shenshen , HUA Jing , ZHANG Faxiang , LIYimin. Dynamical Analysis of Land Model with Holling II Land Reclamation Rate. Journal of Systems Science and Mathematical Sciences, 2017, 37(3): 819-827 https://doi.org/10.12341/jssms13105
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