Global stability and optimal control of epidemic spreading on multiplex networks with nonlinear mutual interaction

Nan Jia, Li Ding, Yu-Jing Liu and Ping Hu

Physica A: Statistical Mechanics and its Applications, 2018, vol. 502, issue C, 93-105

Abstract: In this paper, we consider two interacting pathogens spreading on multiplex networks. Each pathogen spreads only on its single layer, and different layers have the same individuals but different network topology. A state-dependent infectious rate is proposed to describe the nonlinear mutual interaction during the propagation of two pathogens. Then a novel epidemic spreading model incorporating treatment control strategy is established. We investigate the global asymptotic stability of the equilibrium points by using Dulac’s criterion, Poincaré-Bendixson theorem and Lyapunov method. Furthermore, we discuss an optimal strategy to minimize the total number of the infected individuals and the cost associated with treatment control for both spreading of two pathogens. Finally, numerical simulations are presented to show the validity and efficiency of our results.

Keywords: Epidemic spreading; Global stability; Optimal control; Multiplex networks (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:502:y:2018:i:c:p:93-105

DOI: 10.1016/j.physa.2018.02.056

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