| 具有阶段结构的生态—流行病SI模型的分析 |
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| 引用本文： | 陆志奇,李爽. 具有阶段结构的生态—流行病SI模型的分析[J]. 河南师范大学学报(自然科学版), 2008, 36(1): 1-5 |
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| 作者姓名： | 陆志奇 李爽 |
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| 作者单位： | 河南师范大学,数学与信息科学学院,河南,新乡,453007 |
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| 摘 要： | 考虑了一类食饵染病且带有阶段结构的捕食—被捕食模型,分析了该模型的正不变性,边界平衡位置的局部和全局稳定性,得到了正平衡位置局部渐近稳定以及系统产生Hopf分支的条件.证明了当正平衡位置存在时系统是一致持续生存的.
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| 关 键 词： | 捕食—被捕食模型 全局稳定性 Hopf分支 |
| 文章编号： | 1000-2367（2008）01-0001-05 |
| 收稿时间： | 2007-04-13 |
| 修稿时间： | 2007-04-13 |
Analysis of Eco-epidemiological SI Model with Stage Structure |
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| LU Zhi-qi,LI Shuang. Analysis of Eco-epidemiological SI Model with Stage Structure[J]. Journal of Henan Normal University(Natural Science), 2008, 36(1): 1-5 |
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| Authors: | LU Zhi-qi LI Shuang |
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| Abstract: | A system of retarded functional differential equations is proposed as a predator-prey model with disease and stage structure in the prey. The invariance of non-negativity, local stability of boundary equilibria and global stability are analyzed. It shows that the positive equilibrium is locally asymptotically stable under some conditions, while the system may have Hopf bifurcation as the conditions vary. It also shows that the system is persistent when the positive equilibrium exsists. |
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| Keywords: | predator-prey model global stability Hopf bifurcation |
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