| 具有扩散的阶段结构模型中种群数量和稳定性的控制 |
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| 引用本文： | 郑唯唯,崔景安.具有扩散的阶段结构模型中种群数量和稳定性的控制[J].生物数学学报,2001,16(3):275-280. |
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| 作者姓名： | 郑唯唯 崔景安 |
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| 作者单位： | 1. 西安工程科技学院数理系
2. 南京师范大学数学系 |
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| 基金项目： | This work is supported by the National Natural Science Foundation of China |
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| 摘 要： | 由于人类活动对于生态环境的影响，很多中国林蛙的栖息地被污染而使其数量减少，为了保护这一珍稀种群，本文提出并研究了两个具有阶段结构的种群模型（1）和（2），系统（1）中两个斑块1和2是相互隔离的，而系统（2）中两个斑块1和2有廓道相通，对系统（2），得到永久持续生存的充分必要条件，而且考虑了扩散对于平衡点稳定性和种群稳定数量的影响。
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| 关 键 词： | 中国林蛙 阶段结构 扩散 持续生存 稳定性 种群数量 模型 |
| 文章编号： | 10019626(2001)03-0275-06 |
| 修稿时间： | 1999年12月5日 |
Control of Population Size and Stability Through Diffusion: a Stage-Structure Model |
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| ZHENG Wei-wei,CUI Jing-an.Control of Population Size and Stability Through Diffusion: a Stage-Structure Model[J].Journal of Biomathematics,2001,16(3):275-280. |
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| Authors: | ZHENG Wei-wei CUI Jing-an |
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| Abstract: | Because of the ecological effects of human activities,many living and breeding areas of rana chensinensis were damaged and then the population size of rana chensinensis reduced rapidly. To analyze this phenomenon and to protect this well known economical species,two stage-structure models (1) and (2) of rana chensinensis dynamics are introduced and studied. In system (1),patch 1 and patch 2 are isolated each other in the sense that individuals can not move from one patch to another. But in system (2),some corridors were built between the two patches. Sufficient and necessary condition of permanent for system (2) be obtained in this paper. Further,we consider the effects of dispersal on the total population size and stability of positive equilibrium. |
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| Keywords: | Rana chensinensis Stage structure Diffusion Permanence Stability |
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