An algorithmic synthesis of the deterministic and stochastic paradigms via computer intensive methods

DOI10.1016/S0025-5564(02)00126-8zbMath1015.92037WikidataQ52030173 ScholiaQ52030173MaRDI QIDQ1867112

Charles J. Mode, Candace K. Sleeman

Publication date: 2 April 2003

Published in: Mathematical Biosciences (Search for Journal in Brave)

zbMATH Keywords

Monte Carlo methodsconvergence in lawstochastic modelsHIV/AIDSchain multinomial modelsembedded differential equationsrecurrent rare events

Mathematics Subject Classification ID

Epidemiology (92D30) Signal detection and filtering (aspects of stochastic processes) (60G35)

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Estimation of Balanced Simultaneous Confidence Sets for SIR Models ⋮ Monte Carlo estimates of natural variation in HIV infection

Cites Work

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• The deterministic limit of infectious disease models with dynamic partners
• Solutions of ordinary differential equations as limits of pure jump markov processes
• Limit theorems for sequences of jump Markov processes approximating ordinary differential processes

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