Applied Mathematics and Mechanics (English Edition) ›› 2017, Vol. 38 ›› Issue (8): 1181-1190.doi: https://doi.org/10.1007/s10483-017-2228-9

• 论文 • 上一篇    

A class of epidemic virus transmission population dynamic system

Cheng OUYANG1, Min ZHU2, Jiaqi MO2   

  1. 1. Faculty of Science, Huzhou University, Huzhou 313000, Zhejiang Province, China;
    2. School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, Anhui Province, China
  • 收稿日期:2016-12-07 修回日期:2017-03-17 出版日期:2017-08-01 发布日期:2017-08-01
  • 通讯作者: Jiaqi MO,E-mail:mojiaqi@mail.ahnu.edu.cn E-mail:mojiaqi@mail.ahnu.edu.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (No. 41275062) and the Natural Science Foundation of Zhejiang Province of China (No. LY13A010005)

A class of epidemic virus transmission population dynamic system

Cheng OUYANG1, Min ZHU2, Jiaqi MO2   

  1. 1. Faculty of Science, Huzhou University, Huzhou 313000, Zhejiang Province, China;
    2. School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, Anhui Province, China
  • Received:2016-12-07 Revised:2017-03-17 Online:2017-08-01 Published:2017-08-01
  • Contact: Jiaqi MO E-mail:mojiaqi@mail.ahnu.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (No. 41275062) and the Natural Science Foundation of Zhejiang Province of China (No. LY13A010005)

摘要:

A class of epidemic virus transmission population dynamic system is considered. Firstly, using the functional homotopic analysis method, an initial approximate function is selected. Then, the arbitrary order approximate analytic solutions are obtained successively. Finally, the accuracy of the obtained approximate analytic solutions is described. The influence of the various physical parameters for the epidemic virus transmission population dynamic system is discussed.

关键词: elastic wave equation, perturbational parameters, integral equation, integral iteration, nonlinear, functional mapping, transmission

Abstract:

A class of epidemic virus transmission population dynamic system is considered. Firstly, using the functional homotopic analysis method, an initial approximate function is selected. Then, the arbitrary order approximate analytic solutions are obtained successively. Finally, the accuracy of the obtained approximate analytic solutions is described. The influence of the various physical parameters for the epidemic virus transmission population dynamic system is discussed.

Key words: elastic wave equation, perturbational parameters, integral equation, integral iteration, nonlinear, transmission, functional mapping

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