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Stability of the SNIS epidemic spreading model with contagious incubation period over heterogeneous networks

Author

Listed:
  • Yu, Yi
  • Ding, Li
  • Lin, Ling
  • Hu, Ping
  • An, Xuming

Abstract

In this paper, a novel susceptible–infected–susceptible epidemic model with contagious incubation period is proposed by using the N-intertwined mean field approximation on directed and heterogeneous networks. Both continuous and impulsive strategies that consider the detection and identification of individuals in incubation period are studied. The impacts of the incubation period incorporating with the network topology and the effects of the strategies on the epidemic spreading process are discussed. We analyze the stability of disease-free equilibrium and obtain the corresponding sufficient conditions by means of Lyapunov–Razumikhin functions and inequality techniques. Numerical simulations are presented to illustrate and validate the theoretical analysis. These results provide some meaningful clues for the public health department to conduct appropriate and effective defensive measures to eradicate the epidemic in the crowd.

Suggested Citation

  • Yu, Yi & Ding, Li & Lin, Ling & Hu, Ping & An, Xuming, 2019. "Stability of the SNIS epidemic spreading model with contagious incubation period over heterogeneous networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    • Handle: RePEc:eee:phsmap:v:526:y:2019:i:c:s0378437119304960
    DOI: 10.1016/j.physa.2019.04.114
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