Stability of a stochastic differential equation in a simplicial SIS contagion model

F. J. Villarroel Rodriguez, F. J. Villarroel Rodriguez

Network science describes the dynamics of epidemic spread by graphs with intricate relationships between random nodes, that reflect that the rate at which individuals become infected varies randomly. Here, we assume that not only pairwise interactions between a healthy and an infectious individual are possible but also those between a healthy individual and two infected. We assume that evolution can be approximated by a stochastic differential equation that generalizes the compartmental models of Kermack and McKendric to a stochastic environment. We study conditions that guarantee global asymptotic stochastic stability for the disease-free equilibrium and the fate of the endemic equilibrium points.
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2. Hernández Serrano, J. Villarroel, J. Hernández-Serrano and A. Tocino,
Chaos, Solitons & Fractals 167, 11300
3. W. O. Kermack, and A. G. McKendrick, Proc. R. Soc. Lond. A 115 (1927)

Keywords: stochastic simplicial SIS contagion model

GT15.PROCEST2 Invited Session
November 10, 2023  9:30 AM
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