Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10481888 | Physica A: Statistical Mechanics and its Applications | 2013 | 9 Pages |
Abstract
For an epidemic model of the type mentioned, we prove a theorem on almost sure exponential stability of the disease-free equilibrium. For small values of the diffusion parameter, Ï, we describe the stability of the disease free equilibrium point in terms of an appropriate analogue, RÏ, of the basic reproduction number R0 of the deterministic special case. Whenever Ï>0 then RÏ
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Peter J. Witbooi,