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Impact of awareness in metapopulation epidemic model to suppress the infected individuals for different graphs

Author

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  • K. M. Ariful Kabir

    (Interdisciplinary Graduate School of Engineering Sciences, Kyushu University
    Bangladesh University of Engineering and Technology)

  • Jun Tanimotoc

    (Faculty of Engineering Sciences, Kyushu University)

Abstract

The metapopulation dynamical model with information spreading in SIS epidemic diffusion model is presented for random walkers for sub-populations to display the effect of awareness. Two-layer SIS-UA (susceptible-infected-susceptible-unaware-aware) epidemic model is considered to reveal the effect of information spreading in a graph, where, each node denoted a sub-population. The individuals migrate by random walk from one node to another node on the graph by themselves or forcefully to escape from contagious disease. Moreover, the individuals in a node are classified into four states as unaware susceptible (US), aware susceptible (AS), unaware infected (UI) and aware infected (AI). Meanwhile, to study the impact of graph topology on individuals in each node (subpopulation), four different graphs: star, cycle, wheel and complete are considered as representing both homogeneous and heterogeneous connections with the various number of nodes. The influence of migration for information spreading is displayed to subdue infected individuals with time steps. Finally, several impressive cases in terms of what attributes of individuals in each subpopulation being allowed (or say, pushed) migration are considered, which is summarized in the form of a full phase diagram. Graphical abstract

Suggested Citation

  • K. M. Ariful Kabir & Jun Tanimotoc, 2019. "Impact of awareness in metapopulation epidemic model to suppress the infected individuals for different graphs," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 92(9), pages 1-16, September.
    • Handle: RePEc:spr:eurphb:v:92:y:2019:i:9:d:10.1140_epjb_e2019-90570-7
    DOI: 10.1140/epjb/e2019-90570-7
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    Citations

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    Cited by:

    1. Cui, Guang-Hai & Wang, Zhen & Li, Jun-Li & Jin, Xing & Zhang, Zhi-Wang, 2021. "Influence of precaution and dynamic post-indemnity based insurance policy on controlling the propagation of epidemic security risks in networks," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    2. Liu, Chuang & Zhou, Nan & Zhan, Xiu-Xiu & Sun, Gui-Quan & Zhang, Zi-Ke, 2020. "Markov-based solution for information diffusion on adaptive social networks," Applied Mathematics and Computation, Elsevier, vol. 380(C).
    3. Jia, Mengqi & Li, Xin & Ding, Li, 2021. "Epidemic spreading with awareness on multi-layer activity-driven networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 579(C).
    4. Chen, Xiaolong & Gong, Kai & Wang, Ruijie & Cai, Shimin & Wang, Wei, 2020. "Effects of heterogeneous self-protection awareness on resource-epidemic coevolution dynamics," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    5. Liu, Chengwei & Wang, Juan & Li, Xiaopeng & Xia, Chengyi, 2020. "The link weight adjustment considering historical strategy promotes the cooperation in the spatial prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 554(C).

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    Keywords

    Statistical and Nonlinear Physics;

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