| 三类病毒感染下的手足口病模型的动力学分析 |
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| 引用本文： | 李博,王稳地,田轩. 三类病毒感染下的手足口病模型的动力学分析[J]. 西南大学学报(自然科学版), 2020, 42(3): 100-106 |
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| 作者姓名： | 李博 王稳地 田轩 |
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| 作者单位： | 西南大学 数学与统计学院, 重庆 400715 |
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| 基金项目： | 国家自然科学基金项目（11571284）. |
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| 摘 要： | 建立了CA16病毒、 EV71病毒及其他病毒株感染下周期性发病的手足口病模型.得到了模型的基本再生数并用它证明了模型无病平衡点的全局渐近稳定性.另外,分析了单一病毒株周期解的稳定性.最后,发现基本再生数最大的病毒株会持续生存下来,其他两种病毒株会被竞争排斥掉.
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| 关 键 词： | 基本再生数 周期解 稳定性 竞争排斥 |
| 收稿时间： | 2019-05-01 |
Dynamics Analysis of a Hand-Foot-Mouth Disease (HFMD) Model Infected by Three Kinds of Viruses |
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| LI Bo,WANG Wen-di,TIAN Xuan. Dynamics Analysis of a Hand-Foot-Mouth Disease (HFMD) Model Infected by Three Kinds of Viruses[J]. Journal of southwest university (Natural science edition), 2020, 42(3): 100-106 |
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| Authors: | LI Bo WANG Wen-di TIAN Xuan |
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| Affiliation: | School of Mathematics and Statistics, Southwest University, Chongqing 400715, China |
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| Abstract: | In a study reported in this paper, we established a hand-foot-mouth disease (HFMD) model with periodic onset of CA16 virus, EV71 virus and other viral strains. We obtained the basic reproduction number of the model and used it to prove the global asymptotic stability of the disease-free equilibrium point of the model. In addition, we also analyzed the stability of the periodic solution of a single virus strain. Finally, we found that the virus strain with the largest number of basic regeneration survived, and the other two strains died out by competition. |
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| Keywords: | basic reproduction number periodic solution stability competitive exclusion |
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