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Global Dynamics and Optimal Control of a Viral Infection Model with Generic Nonlinear Infection Rate

Author

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  • Chenquan Gan
  • Maobin Yang
  • Zufan Zhang
  • Wanping Liu

Abstract

This paper is devoted to exploring the combined impact of a generic nonlinear infection rate and infected removable storage media on viral spread. For that purpose, a novel dynamical model with an external compartment is proposed, and the explanations of the main model assumptions (especially the generic nonlinear infection rate) are also examined. The existence and global stability of the unique equilibrium of the model are fully investigated, from which it can be seen that computer virus would persist. On this basis, a next-best approach to controlling the level of infected computers is suggested, and the theoretical analysis of optimal control of the model is also performed. Additionally, some numerical examples are given to illustrate the main results.

Suggested Citation

  • Chenquan Gan & Maobin Yang & Zufan Zhang & Wanping Liu, 2017. "Global Dynamics and Optimal Control of a Viral Infection Model with Generic Nonlinear Infection Rate," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-9, February.
    • Handle: RePEc:hin:jnddns:7571017
    DOI: 10.1155/2017/7571017
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    Cited by:

    1. Kim, Kwang Su & Ibrahim, Malik Muhammad & Jung, Il Hyo & Kim, Sangil, 2020. "Mathematical analysis of the effectiveness of control strategies to prevent the autorun virus transmission propagation," Applied Mathematics and Computation, Elsevier, vol. 371(C).
    2. Yi, Yinxue & Zhang, Zufan & Gan, Chenquan, 2018. "The effect of social tie on information diffusion in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 783-794.

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