| 考虑心理因素和饱和治疗的H7N9禽流感动力学模型分析 |
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| 引用本文： | 郭树敏,Mini GHOSH.考虑心理因素和饱和治疗的H7N9禽流感动力学模型分析[J].上海师范大学学报(自然科学版),2019,48(3):327-337. |
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| 作者姓名： | 郭树敏 Mini GHOSH |
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| 作者单位： | 韶关学院数学与统计学院;维特大学金奈校区高等科学学院 |
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| 摘 要： | 研究了一种带治疗的病媒传播疾病的流行模型.得到了模型的基本再生数R_0,模型的平衡点和阈值由R_0确定.利用Bendixson-Dulac定理,证明了当R_01时,该模型的唯一正平衡点是全局稳定的.该结果可以帮助探索控制媒介传染病传播的方法.最后对模型进行了数值模拟,验证了该结论.
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| 关 键 词： | 媒介传染病 数学模型 稳定性 控制措施 |
| 收稿时间： | 2019/1/2 0:00:00 |
Dynamical behavior of an epidemic model for a vector-borne disease with treatment |
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| GUO Shumin and Mini GHOSH.Dynamical behavior of an epidemic model for a vector-borne disease with treatment[J].Journal of Shanghai Normal University(Natural Sciences),2019,48(3):327-337. |
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| Authors: | GUO Shumin and Mini GHOSH |
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| Institution: | Department of Mathematics and Statistics, Shaoguan University, Shaoguan 512005, Guangdong, China and School of Advanced Sciences, Chennai Campus, Vellore Institute of Technology University, Chennai 600048, India |
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| Abstract: | In this paper, we investigated an epidemic model of a vector-borne disease with treatment. The reproduction number R0 of the model is obtained. The equilibria and the threshold of the model were determined by R0. By using Bendixson-Dulac theorem, it is shown that the unique positive equilibrium for the model is global stable if R0 is greater than 1. Theoretical results obtained here can help us to explore the method of controlling the spread of vector-borne disease. Finally, numerical simulations for the model are presented to illustrate our mathematical findings. |
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| Keywords: | vector-borne disease mathematical model stability control measures |
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