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| 具有常数输入和饱和传染率食饵有病的生态-流行病模型 | |
| 引用本文： | 朱春娟,徐金瑞,王美娟,张拥军.具有常数输入和饱和传染率食饵有病的生态-流行病模型[J].数学的实践与认识,2011,41(22). |
| 作者姓名： | 朱春娟 徐金瑞 王美娟 张拥军 |
| 作者单位： | 1. 韶关学院 数学信息科学学院,广东 韶关,512005 2. 广东省东莞市第四高级中学,广东 东莞,523200 3. 上海理工大学 理学院,上海,200093 |
| 摘 要： | 研究了一类疾病只在食饵中传播且具有饱和传染率的生态-流行病模型.通过理论分析得到了系统平衡点局部渐近稳定和全局渐近稳定的充分条件. |
| 关 键 词： | 常数输入 饱和接触率 食饵有病 平衡点 局渐近稳定 |
An Eco-epidemiological Model with Constant Removal and Saturating Infect Rate in the Epidemic Prey |
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| ZHU Chun-juan,XU Jin-rui,WANG Mei-juan,ZHANG Yong-jun.An Eco-epidemiological Model with Constant Removal and Saturating Infect Rate in the Epidemic Prey[J].Mathematics in Practice and Theory,2011,41(22). | |
| Authors: | ZHU Chun-juan XU Jin-rui WANG Mei-juan ZHANG Yong-jun |
| Institution: | ZHU Chun-juan~1,XU Jin-rui~2,WANG Mei-juan~3,ZHANG Yong-jun~3 (1.College of Mathematics and Information Science,Shaoguan University,Shaoguan 512005,China) (2.Dongguan NO.4 Senor High School,Guangdong 523220,China) (3.College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China) |
| Abstract: | In this paper,we discuss an eco-epidemiological model with constant removal and saturating infect rate in the epidemic prey.By theoretical analysis,the sufficient condition of local and global asymptotic stabilities of the equilibrium are got. |
| Keywords: | constant removal saturating infect rate epidemic prey equilibrium global asymptotic stability |
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