| 具有脉冲扩散的单种群模型的研究 |
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| 引用本文： | 徐国明. 具有脉冲扩散的单种群模型的研究[J]. 阴山学刊, 2011, 25(1): 5-8 |
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| 作者姓名： | 徐国明 |
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| 作者单位： | 包头师范学院,数学科学学院,内蒙古,包头,014030 |
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| 摘 要： | 本文讨论了在两个斑块上具有脉冲扩散的单种群模型,证明了在适当条件下系统是一致持久的,并利用单调凸算子理论,得到了系统存在唯一全局渐近稳定的周期解,利用数值模拟进一步证明了所得的结论。
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| 关 键 词： | 脉冲扩散 一致持久 周期解 全局稳定 |
Research for a Single Species Model with Impulsive Diffusion |
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| XU Guo-ming. Research for a Single Species Model with Impulsive Diffusion[J]. Yin Shan Academic Journal, 2011, 25(1): 5-8 |
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| Authors: | XU Guo-ming |
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| Affiliation: | XU Guo-ming (Faculty of Mathematics,Baotou Terchers' College,Baotou 014030) |
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| Abstract: | In this paper we propose a single species model with impulsive diffusion between two patches,We obtain uniform persistence under certain conditions,By using the discrete dynamical system generated by a monotone,concave map for the dispersal model we prove that the Poincare map has a globally stable positive fixed point.This implies that the system has a globally stable positive periodic solution.This result is further substantiated by numerical Simulation. |
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| Keywords: | impulsive diffusion uniform persistence periodic solution globally stable |
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