| 一类具有阶段结构的捕食系统的全局渐近稳定性 |
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| 引用本文： | 耿春梅,林支桂.一类具有阶段结构的捕食系统的全局渐近稳定性[J].淮阴师范学院学报(自然科学版),2007,6(3):179-186. |
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| 作者姓名： | 耿春梅 林支桂 |
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| 作者单位： | 1. 扬州教育学院,数学系,江苏,扬州,225000
2. 扬州大学,数学科学学院,江苏,扬州,225002 |
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| 摘 要： | 研究了具有时滞和阶段结构的捕食系统.利用上下解方法及相应的单调迭代序列给出了解的渐近性质.结果表明,扩散并不影响种群的生存和灭绝,而阶段结构却是种群生存和灭亡的主要因素之一.
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| 关 键 词： | 捕食系统 阶段结构 时滞 全局稳定性 |
| 文章编号： | 1671-6876（2007）03-0179-08 |
| 修稿时间： | 2007-02-02 |
Global Asymptotic Stability of A Predator-prey System with Stage Structure |
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| GENG Chun-mei,LIN Zhi-gui.Global Asymptotic Stability of A Predator-prey System with Stage Structure[J].Journal of Huaiyin Teachers College(Natrual Science Edition),2007,6(3):179-186. |
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| Authors: | GENG Chun-mei LIN Zhi-gui |
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| Institution: | Department of Mathenmtics, Yangzhou College of Education, Yangzhou Jiangsu 225002, China; College of Mathematics Sciences, yangzhou University, Yangzhou Jiangsu 225002, China |
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| Abstract: | In this paper,a Lotka-Volterra type predator-prey model with delay and stage structure was discussed.The dynamics of coupled system of semilinear parabolic equations with time delays is investigated using upper and lower solutions and its associated monotone iterations.The asymptotic behavior of solutions is given.The results show that the introduction of diffusion does not affect the permanence and extinctions of species though the introduction of stage structure brings important effect on their permanence and extinction. |
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| Keywords: | predator-prey system stage structure time delay global stability |
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