Epidemic spreading and global stability of a new SIS model with delay on heterogeneous networks

Huiyan Kang, Yijun Lou, Guanrong Chen, Sen Chu, Xinchu Fu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

6 Citations (Scopus)

Abstract

In this paper, we study a susceptible-infected-susceptible (SIS) model with time delay on complex heterogeneous networks. Here, the delay describes the incubation period in the vector population. We calculate the epidemic threshold by using a Lyapunov functional and some analytical methods, and find that adding delay increases the epidemic threshold. Then, we prove the global stability of disease-free and endemic equilibria by using the theory of functional differential equations. Furthermore, we show numerically that the epidemic threshold of the new model may change along with other factors, such as the infectivity function, the heterogeneity of the network, and the degrees of nodes. Finally, we find numerically that the delay can affect the convergence speed at which the disease reaches equilibria.
Original languageEnglish
Pages (from-to)681-719
Number of pages39
JournalJournal of Biological Systems
Volume23
Issue number4
DOIs
Publication statusPublished - 1 Dec 2015

Keywords

  • Delay
  • Epidemic Threshold
  • Global Stability
  • Heterogeneous Network
  • SIS Model
  • Vector Borne Disease

ASJC Scopus subject areas

  • Ecology
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics

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