Stochastic individual-based model of spread of tuberculosis

Authored by N V Pertsev, V N Leonenko

Date Published: 2009

DOI: 10.1515/rjnamm.2009.021

Sponsors: Russian Foundation for Basic Research

Platforms: No platforms listed

Model Documentation: Other Narrative Mathematical description

Model Code URLs: Model code not found

Abstract

A stochastic individual-based model of the spread of tuberculosis is considered. The model is based on a system of stochastic recurrent equations with integer-valued variables and discrete time. Individuals differ by the duration of different states of their disease (noninfectious, infectious, in remission) and by values of the parameters describing their life time distribution. Monte Carlo methods are used for numerical experiments based on the model. The dynamics of the number of individuals depending on the variation of the parameters of the model is studied.

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