An epidemic spreading model on adaptive scale-free networks with feedback mechanism

Tao Li, Xiongding Liu, Jie Wu, Chen Wan, Zhi-Hong Guan and Yuanmei Wang

Physica A: Statistical Mechanics and its Applications, 2016, vol. 450, issue C, 649-656

Abstract: A SIRS epidemic model with feedback mechanism on adaptive scale-free networks is presented. Using the mean field theory the spreading dynamics of the epidemic is studied in detail. The basic reproductive number and equilibriums are derived. Theoretical results indicate that the basic reproductive number is significantly dependent on the topology of the underlying networks. The existence of equilibriums is determined by the basic reproductive number. The global stability of disease-free equilibrium and the epidemic permanence are proved in detail. The feedback mechanism cannot change the basic reproductive number, but it can reduce the endemic level and weaken the epidemic spreading. Numerical simulations confirmed the analytical results.

Keywords: Epidemic spreading; Heterogeneity; Feedback mechanism; Stability; Permanence (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:450:y:2016:i:c:p:649-656

DOI: 10.1016/j.physa.2016.01.045

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