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| 一类具有阶段结构的捕食模型的稳定性 | |
| 引用本文： | 耿春梅,甘文珍,周桦.一类具有阶段结构的捕食模型的稳定性[J].扬州大学学报(自然科学版),2006,9(1):9-14. |
| 作者姓名： | 耿春梅 甘文珍 周桦 |
| 作者单位： | 1. 扬州大学,数学科学学院,江苏,扬州,225002;扬州教育学院,数学系,江苏,扬州,225002 2. 扬州大学,数学科学学院,江苏,扬州,225002 3. 江苏工业学院,信息科学系,江苏,常州,213016 |
| 基金项目： | 江苏省教育厅自然科学基金资助项目(05KJB110154) |
| 摘 要： | 对一类具有时滞和阶段结构的Lotka-V o lterra型捕食模型进行了分析.利用上、下解方法及相应的单调迭代序列研究具有时滞的耦合半线性抛物方程组的动力学行为,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,而捕食者的阶段结构对其生存具有负面影响. |
| 关 键 词： | 捕食模型 阶段结构 时滞 全局稳定性 |
| 文章编号： | 1007-824X（2006）01-0009-06 |
| 收稿时间： | 2005-11-11 |
| 修稿时间： | 2005-11-11 |
Stability of a predator-prey model with stage structure |
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| GENG Chun-mei,GAN Wen-zhen,ZHOU Hua.Stability of a predator-prey model with stage structure[J].Journal of Yangzhou University(Natural Science Edition),2006,9(1):9-14. | |
| Authors: | GENG Chun-mei GAN Wen-zhen ZHOU Hua |
| Institution: | 1. Coll of Math, Yangzhou Univ, Yangzhou 225002, China; 2. Dept of Math, Yangzhou Coll of Edu, Yangzhou 225002, China ;3. Dept of Inf Sci, Jiangsu Poly Univ, Changzhou 213016, China |
| Abstract: | In this paper,a Lotka-Volterra type predator-prey model with delay and stage structure is 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 of predator brings negative effect on it. |
| Keywords: | predator-prey model stage structure time delay global stability |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |