Abstract.
Basic properties of the epidemic and endemic version of the SIR model are described and the stability behaviour of the deterministic equilibria under random perturbations is studied. Domain restrictions of the dynamical variables lead to stochastic differential equations with boundary conditions, for which some characteristic numerical results are presented.
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Hogreve, H. Critical Stability Effects in Epidemiology. Few-Body Systems 38, 215–219 (2006). https://doi.org/10.1007/s00601-005-0141-z
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DOI: https://doi.org/10.1007/s00601-005-0141-z