Model for the spread of SIS epidemic based on evolution game

Subtitle:

Article type: Research Article

Authors: Yang, Fan^{a; b} | Yang, Qing^{a; *}

Affiliations: [a] School of Management, Wuhan University of Technology, Wuhan, Hubei, China | [b] Huaxia College, Wuhan University of Technology, Wuhan, Hubei, China

Correspondence: [*] Corresponding author: Qing Yang, Huaxia College, Wuhan University of Technology, Wuhan 430223, Hubei, China.seling0513@sina.com

Abstract: First, a replicated dynamic equation for the spread of an SIS epidemic was proposed using the game theory. It was concluded that evolutionary stable strategies of an epidemic are (Z, C). Based on the method of multi-agent simulation by swarm 2.2, an evolutionary game model was developed to simulate the spread of an epidemic among individuals. It analyzed detailed information of the evolution and the game relationship between individuals in a micro perspective. The final simulation results were consistent with the conclusion of the replicated dynamic equation.

Keywords: SIS evolution, evolutionarily stable strategy, evolution game, replicator dynamics equations, cellular automata, multi-agents simulation

DOI: 10.3233/thc-150932

Journal: Technology and Health Care, vol. 23, no. s1, pp. S71-S75, 2015