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Approximations of large population epidemic models

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  • Garcia, Nancy Lopes

Abstract

The large population asymptotics of a spatial epidemic model is studied through the representation of the process as a projection of a higher dimensional Poisson processes. The density process (In(t)) of infected individuals at time t converges to a deterministic process (I(t)). Moreover, there exists a Gaussian process V such that [radical sign]n(In - I) converges to V in the sense of Schwarz distributions. The process In(t) can be used to model focus expansion experiments in phytopathology.

Suggested Citation

  • Garcia, Nancy Lopes, 1995. "Approximations of large population epidemic models," Stochastic Processes and their Applications, Elsevier, vol. 60(1), pages 147-160, November.
    • Handle: RePEc:eee:spapps:v:60:y:1995:i:1:p:147-160
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    References listed on IDEAS

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    1. Solomon, Wiremu, 1987. "Representation and approximation of large population age distributions using poisson random measures," Stochastic Processes and their Applications, Elsevier, vol. 26, pages 237-255.
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