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Dynamics of epidemic spreading model with drug-resistant variation on scale-free networks

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  • Wan, Chen
  • Li, Tao
  • Zhang, Wu
  • Dong, Jing

Abstract

Considering the influence of the virus’ drug-resistant variation, a novel SIVRS (susceptible–infected–variant–recovered–susceptible) epidemic spreading model with variation characteristic on scale-free networks is proposed in this paper. By using the mean-field theory, the spreading dynamics of the model is analyzed in detail. Then, the basic reproductive number R0 and equilibriums are derived. Studies show that the existence of disease-free equilibrium is determined by the basic reproductive number R0. The relationships between the basic reproductive number R0, the variation characteristic and the topology of the underlying networks are studied in detail. Furthermore, our studies prove the global stability of the disease-free equilibrium, the permanence of epidemic and the global attractivity of endemic equilibrium. Numerical simulations are performed to confirm the analytical results.

Suggested Citation

  • Wan, Chen & Li, Tao & Zhang, Wu & Dong, Jing, 2018. "Dynamics of epidemic spreading model with drug-resistant variation on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 493(C), pages 17-28.
    • Handle: RePEc:eee:phsmap:v:493:y:2018:i:c:p:17-28
    DOI: 10.1016/j.physa.2017.10.027
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    References listed on IDEAS

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    1. Yang, Guan-Ling & Yang, Xinsong, 2016. "Optimal epidemic spreading on complex networks with heterogeneous waiting time distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 447(C), pages 386-391.
    2. Li, Tao & Liu, Xiongding & Wu, Jie & Wan, Chen & Guan, Zhi-Hong & Wang, Yuanmei, 2016. "An epidemic spreading model on adaptive scale-free networks with feedback mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 649-656.
    3. Qu, Bo & Wang, Huiijuan, 2017. "SIS epidemic spreading with correlated heterogeneous infection rates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 472(C), pages 13-24.
    4. Cai, Yongli & Kang, Yun & Wang, Weiming, 2017. "A stochastic SIRS epidemic model with nonlinear incidence rate," Applied Mathematics and Computation, Elsevier, vol. 305(C), pages 221-240.
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    Cited by:

    1. Meng, Xueyu & Cai, Zhiqiang & Si, Shubin & Duan, Dongli, 2021. "Analysis of epidemic vaccination strategies on heterogeneous networks: Based on SEIRV model and evolutionary game," Applied Mathematics and Computation, Elsevier, vol. 403(C).
    2. Guiyun Liu & Zhimin Peng & Zhongwei Liang & Xiaojing Zhong & Xinhai Xia, 2022. "Analysis and Control of Malware Mutation Model in Wireless Rechargeable Sensor Network with Charging Delay," Mathematics, MDPI, vol. 10(14), pages 1-28, July.

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