Corpus ID: 233168986

On the stochastic engine of transmittable diseases in exponentially growing populations

  title={On the stochastic engine of transmittable diseases in exponentially growing populations},
  author={T. Lindstrom},
The purpose of this paper is to analyze the interplay of deterministic and stochastic models for epidemic diseases. Deterministic models for epidemic diseases are prone to predict global stability. If the natural birth and death rates are assumed small in comparison to disease parameters like the contact rate and the recovery rate, then the globally stable endemic equilibrium corresponds to a tiny proportion of infected individuals. Asymptotic equilibrium levels corresponding to low numbers of… Expand

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