Modeling Stochastic Anomalies in an SIS and SIRS System

2012/05/23 by Andrew Vlasic, Vlasic, Andrew
Economics, Econometrics and Finance · Mathematics · #60H10 #60J70 #92D15 #92D25 #92D30 #Economic theories and models #FOS: Biological sciences #FOS: Mathematics #Populations and Evolution (q-bio.PE) #Probability (math.PR) #Stochastic processes and financial applications #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.1205.5264

openalex publication_date 2012/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

I propose a stochastic SIS and SIRS system to include a Poisson measure term to model anomalies in the dynamics. In particular the positive integrand in the Poisson term is intended to model quarantine. Conditions are given for the stability of the disease free equilibrium for both systems.

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