| Existence and Stability for Periodic Solution of Competition Reaction－Diffusion Models with Grazing Rates in Population Dynamics |
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| 作者姓名： | LIU Yongqing XIE Shengli XIE Zhendong |
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| 作者单位： | Department of Automation South China University of Technology Guangzhou，510641，China |
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| 摘 要： | ＥｘｉｓｔｅｎｃｅａｎｄＳｔａｂｉｌｉｔｙｆｏｒＰｅｒｉｏｄｉｃＳｏｌｕｔｉｏｎｏｆＣｏｍｐｅｔｉｔｉｏｎＲｅａｃｔｉｏｎ－ＤｉｆｆｕｓｉｏｎＭｏｄｅｌｓｗｉｔｈＧｒａｚｉｎｇＲａｔｅｓｉｎＰｏｐｕｌａｔｉｏｎＤｙｎａｍｉｃｓ￥ＬＩＵＹｏｎｇｑｉｎｇ...
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Existence and Stability for Periodic Solution of Competition Reaction-Diffusion Models with Grazing Rates in Population Dynamics |
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| LIU Yongqing, XIE Shengli, XIE Zhendong.Existence and Stability for Periodic Solution of Competition Reaction-Diffusion Models with Grazing Rates in Population Dynamics[J].Journal of Systems Science and Systems Engineering,1996(4). |
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| Authors: | LIU Yongqing XIE Shengli XIE Zhendong |
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| Abstract: | The existence and stability of periodic solution of competing reaction-diffusion models with grazing rates in population dynamics are discussed in this paper, the sufficient conditions are obtained for existence of a globally asymptotically stable strictly positive spatial homogeneity periodic solution by methods of comparison theory Brouwer's fixed point theorem and Liapunov function. |
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| Keywords: | grazing rates reaction-diffusion competing models periodic solution existence stability |
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