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Modeling stochastic anomalies in an SIS system |
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| Authors: | Andrew Vlasic Troy Day |
| Affiliation: | 1. Department of Mathematics and Statistics, Queen's University, Kingston, Ontario, Canadaandrew.vlasic@gmail.com;3. Department of Mathematics and Statistics, Queen's University, Kingston, Ontario, Canada |
| Abstract: | We propose a stochastic SIS model to include both a Gaussian and Poissonian perturbation to account for noise and anomalies in the transmission rate. Conditions are given for stability to the disease free equilibrium and for positive Harris recurrence with a unique invariant measure for the endemic. |
| Keywords: | SIS model stochastic differential equations Lyapunov function numerical simulation stochastic stability invariant measure |