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Preprints, Working Papers, ... Year : 1992

Dynamics of contact epidemic models for finite populations

Abstract

We study contact epidemic models for the spread of infective diseases in finite populations. The size dependence enters in the infection rate. The dynamics of such models is then analyzed within the deterministic approximation, as well as in terms of a stochastic formulation. At the level of the deterministic equations we deduce relations between the parameters of the model for the disease to become endemic. Within the stochastic formulation it is possible to write recursion relations for the probability distribution, that lead to exact expression for some of its moments and check the validity of the stochastic threshold theorems.
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hal-02532082 , version 1 (04-04-2020)

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Philippe Blanchard, Stam Nicolis. Dynamics of contact epidemic models for finite populations. 1992. ⟨hal-02532082⟩
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