| 食饵种群染病且有垂直传染的生态-流行病模型的分析 |
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| 引用本文： | 邹娓,谢杰华.食饵种群染病且有垂直传染的生态-流行病模型的分析[J].湖南文理学院学报(自然科学版),2007,19(4):35-38. |
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| 作者姓名： | 邹娓 谢杰华 |
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| 作者单位： | 南昌工程学院,理学系,江西,南昌,330099;南昌工程学院,理学系,江西,南昌,330099 |
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| 基金项目： | 南昌工程学院青年基金(2006KJ035) |
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| 摘 要： | 建立并分析了一类食饵种群染病且有垂直传染的生态—流行病模型,讨论了该模型解的有界性,应用特征根法得到了平衡点局部渐近稳定的充分条件,并进一步分析了平衡点的全局稳定性,得到了正平衡点全局稳定的充分条件.
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| 关 键 词： | 生态-流行病模型 垂直传染 全局稳定性 |
| 文章编号： | 1672-6146(2007)04-0035-04 |
| 修稿时间： | 2007年9月12日 |
Analysis of Eco-epidemiological Model with Epidemic and Vertical Infection in the Prey |
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| ZOU Wei,XIE Jie-hua.Analysis of Eco-epidemiological Model with Epidemic and Vertical Infection in the Prey[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2007,19(4):35-38. |
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| Authors: | ZOU Wei XIE Jie-hua |
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| Abstract: | By formulating and analyzing the predator-prey model of prey with epidemic and vertical transmission, the boundness of solution were studied, and the sufficient condition of locally asymptotically stable of the equilibrium were studied with latent root method. Furthermore, the global stability of the equilibrium, and the sufficient condition of global stable of positive equilibrium were also obtained. |
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| Keywords: | eco-epidemiological model vertical transmission global stability |
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