Approximations of large population epidemic models
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.
Year of publication: |
1995
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Authors: | Garcia, Nancy Lopes |
Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 60.1995, 1, p. 147-160
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Publisher: |
Elsevier |
Subject: | Poisson point process Epidemic model S-I-R model Predictable sets | Projection method Schwarz distributions |
Saved in:
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