| 具捕杀效应的SEI狂犬病模型的空间动力学分析 |
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| 引用本文： | 孟悦,朱家桢,林支桂. 具捕杀效应的SEI狂犬病模型的空间动力学分析[J]. 上海师范大学学报(自然科学版), 2019, 48(2): 113-119 |
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| 作者姓名： | 孟悦 朱家桢 林支桂 |
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| 作者单位： | 扬州大学数学科学学院 |
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| 基金项目： | 国家自然科学基金（11771381，61877052） |
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| 摘 要： | 为讨论针对性的捕杀对狂犬病传播的影响,研究了一类具捕杀效应的易感者-潜伏期感染者-已经感染者(SEI)狂犬病模型.通过相应的特征值问题,引入基本再生数,并利用上下解方法建立了平衡点的稳定性.结果表明:有针对性的捕杀对狂犬病的控制和预防起着重要的作用.
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| 关 键 词： | 易感者-潜伏期感染者-已经感染者(SEI)狂犬病模型 捕杀效应 基本再生数 稳定性 |
| 收稿时间： | 2018-10-27 |
Spatial dynamics of the SEI model for rabies with culling effect |
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| MENG Yue,ZHU Jiazhen and LIN Zhigui. Spatial dynamics of the SEI model for rabies with culling effect[J]. Journal of Shanghai Normal University(Natural Sciences), 2019, 48(2): 113-119 |
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| Authors: | MENG Yue ZHU Jiazhen LIN Zhigui |
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| Affiliation: | School of Mathematical Science, Yangzhou University, Yangzhou 225002, Jiangsu, China,School of Mathematical Science, Yangzhou University, Yangzhou 225002, Jiangsu, China and School of Mathematical Science, Yangzhou University, Yangzhou 225002, Jiangsu, China |
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| Abstract: | In order to explore the impact of targeted culling on the transmission of rabies,we investigate a susceptible-exposed-infected(SEI) model for rabies with culling effect.The basic reproduction number is introduced by using corresponding eigenvalue problem,and we establish the stability of equilibrium based on this number and upper and lower solutions method.Our results show that culling plays an important role in the prevention and control of rabies. |
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| Keywords: | susceptible-exposed-infected(SEI) model for rabies culling effect basic reproduction number stability |
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