Approximations of large population epidemic models

DOI10.1016/0304-4149(95)00036-4zbMath0846.60009OpenAlexW1975034830MaRDI QIDQ1909960

Nancy Lopes Garcia

Publication date: 8 September 1996

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(95)00036-4

zbMATH Keywords

projection methodPoisson point processepidemic modelS-I-R modelpredictable setsSchwarz distributions

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Cites Work

• Tightness of probabilities on C([0,1;\(S_ p\)) and D([0,1];\(S_ p\))]
• Representation and approximation of large population age distributions using Poisson random measures
• The optional sampling theorem for martingales indexed by directed sets
• An introduction to the theory of point processes
• On a generalization of the Glivenko-Cantelli theorem
• Birth and death processes as projections of higher-dimensional Poisson processes
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