| 一类具有阶段结构的单种群扩散模型 |
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| 引用本文： | 刘胜强,罗桂烈,苏方林.一类具有阶段结构的单种群扩散模型[J].广西科学,1999,6(2):97-99. |
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| 作者姓名： | 刘胜强 罗桂烈 苏方林 |
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| 作者单位： | 广西师范大学数学系,桂林市育才路3号,541004 |
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| 基金项目： | Supported by Foundation of Education Dept.of Guangxi. |
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| 摘 要： | 提出并研究了一类具有阶段结构的单种群扩散模型，得到了其在正平衡点处的稳定性和零平衡点处的不稳定性。
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| 关 键 词： | 阶段结构 扩散 正平衡 渐近稳定性 |
| 收稿时间： | 1998/7/8 0:00:00 |
A Stage-structured Single Species Model with Diffusion |
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| Liu Shengqiang,Luo Guilie and Su Fanglin.A Stage-structured Single Species Model with Diffusion[J].Guangxi Sciences,1999,6(2):97-99. |
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| Authors: | Liu Shengqiang Luo Guilie and Su Fanglin |
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| Institution: | Dept. of Math., Guangxi Normal Univ., 3 Yucailu, Guilin, Guangxi, 541004,Dept. of Math., Guangxi Normal Univ., 3 Yucailu, Guilin, Guangxi, 541004 and Dept. of Math., Guangxi Normal Univ., 3 Yucailu, Guilin, Guangxi, 541004 |
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| Abstract: | A stage structured single species model with diffusion is considered,where all the parameters are constants.The system,which is composed of two patches,has one species which is divided into immature and mature.And the mature can diffuse between the two patches while the immature population is confined to one patch and cannot diffuse.We get the boundary of the solution and the existence of the positive equilibrium of the model, and obtain the asymptotically stabilities of the positive equilibrium of the model and the positive equilibrium under proper conditions. we prove that the unstability of the spot (0,0,0). |
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| Keywords: | stage-structured diffusion positive equilibrium asymptotically stable |
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