| 具有功能反应的两斑块扩散时滞竞争系统正周期解的存在性 |
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| 引用本文： | 李必文,曾宪武.具有功能反应的两斑块扩散时滞竞争系统正周期解的存在性[J].高校应用数学学报(英文版),2003,18(1):1-8. |
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| 作者姓名： | 李必文 曾宪武 |
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| 作者单位： | Li Biwen 1,2 Zeng Xianwu 21 Dept. of Math.,Hubei Normal Univ.,Huangshi 435002,China. 2 College of Math.,Wuhan Univ.,Wuhan 430072,China. |
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| 基金项目： | SupportedbytheNationalNaturalScienceFoundationofChina (195 310 70 )andtheMajorandYouthPro jectFoundationofHubeiProvinceEducationDepartment (2 0 0 1Z0 60 0 3) (2 0 0 2B0 0 0 0 2 ) . |
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| 摘 要： | § 1 ＩｎｔｒｏｄｕｃｔｉｏｎＦｏｒｍａｎｙｓｐｅｃｉｅｓｔｈｅｓｐａｔｉａｌｆａｃｔｏｒｓａｒｅｉｍｐｏｒｔａｎｔｉｎｐｏｐｕｌａｔｉｏｎｄｙｎａｍｉｃｓ .Ｔｈｅｔｈｅｏｒｅｔｉｃａｌｓｔｕｄｙｏｆｓｐａｔｉａｌｄｉｓｔｒｉｂｕｔｉｏｎｈａｓｂｅｅｎｅｘｔｅｎｓｉｖｅｌｙｓｔｕｄｉｅｄｉｎｍａｎｙｐａｐｅｒｓ .Ｍｏｓｔｏｆｔｈｅｐｒｅｖｉｏｕｓｐａｐｅｒｓｆｏｃｕｓｅｄｏｎｔｈｅｃｏｅｘｉｓｔｅｎｃｅｏｆｐｏｐｕｌａｔｉｏｎｓｍｏｄｅｌｌｅｄｂｙｓｔｓｔｅｍｓｏｆｏｒｄｉｎａｒｙｄｉｆｆｅｒｅ…
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Existence of positive solution for a two-patches competition system with diffusion and time delay and functional response |
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| Li Biwen,Zeng Xianwu.Existence of positive solution for a two-patches competition system with diffusion and time delay and functional response[J].Applied Mathematics A Journal of Chinese Universities,2003,18(1):1-8. |
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| Authors: | Li Biwen Zeng Xianwu |
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| Institution: | (1) Dept. of Math., Hubei Normal Univ., 435002 Huangshi, China;(2) College of Math., Wuhan Univ., 430072 Wuhan, China |
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| Abstract: | By using the continuation theorem of coincidence theory, the existence of a positive periodic solution for a two-patches competition
system with diffusion and time delay and functional response is established, where a
i(t), b
i(t), c
i(t)(i=1,2,3), m(t) and D
i(t)(i = 1,2) are all positive periodic continuous functions with period w>0, τ is a nonnegative constant and k(s) is a continuous nonnegative function on −τ,0].
Supported by the National Natural Science Foundation of China (19531070) and the Major and Youth Project Foundation of Hubei
Province Education Department (2001Z06003) (2002B00002). |
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| Keywords: | periodic solutions competition diffusive system functional response continuation theorem of coincidence degree topological degree |
| 本文献已被 CNKI 万方数据 SpringerLink 等数据库收录！ |
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![$$\left\{ \begin{gathered} x'_1 \left( t \right) = x_1 \left( t \right) \left {a_1 \left( t \right) - b_1 \left( t \right)x_1 \left( t \right) - \frac{{c_1 \left( t \right)y\left( t \right)}}{{1 + m\left( t \right)x_1 \left( t \right)}}} \right] + D_1 \left( t \right)\left {x_2 \left( t \right) - x_1 \left( t \right)} \right], \hfill \\ x'_2 \left( t \right) = x_2 \left( t \right) \left {a_2 \left( t \right) - b_2 \left( t \right)x_2 \left( t \right) - c_2 \left( t \right)\int_{ - \tau }^0 {k\left( s \right)} x_2 \left( {t + s} \right)ds} \right] + D_2 \left( t \right)\left {x_1 \left( t \right) - x_2 \left( t \right)} \right], \hfill \\ y'\left( t \right) = y\left( t \right) \left {a_3 \left( t \right) - b_3 \left( t \right)y\left( t \right) - \frac{{c_3 \left( t \right)x_1 \left( t \right)}}{{1 + m\left( t \right)x_1 \left( t \right)}}} \right] \hfill \\ \end{gathered} \right.$$](/content/ft62n7254j48mq17/11766_2003_Article_77_TeX2GIFE1.gif)