stochastic differential equations describing a SIS epidemics

J. Villarroel, D. Hernández-Serrano

We describe propogation of epidemics by means of a stochastic model in which higher-order random interactions are allowed. In the limit of a large number of individuals, the dynamics is described by a stochastic differential equation. In this stochastic regime the only possible equilibrium state is the origin. We study conditions for global Lyapunov stability and dissapearance of the disease by dividing the parameter space into the instability, the bi-stability and the globally asymptotically stable regions.

Palabras clave: stochastic differential equation, epidemics

Procesos Estocásticos y sus aplicaciones IV
13 de junio de 2025  09:00
Auditorio 2. Leandre Cristòfol

M. González Velasco, I. del Puerto García

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