A mathematical model of the seasonal morbidity of shigellosis
Boev, B.V.; Bondarenko, V.M.; Prokop'eva, N.V.; Raigosa Anaya, M.; García de Alba, H.; San Román, R.T.
Zhurnal Mikrobiologii Epidemiologii i Immunobiologii 4: 41-46
1993
ISSN/ISBN: 0372-9311 PMID: 8067113 Document Number: 410129
A new epidemiologically significant mathematical model for the prognosis of seasonal morbidity in dysentery caused by S. flexneri and S. sonnei has been developed. This model may be used for solving problems on the epidemiology of Shigella infections. In this model quantitative ratios are determined by means of the system of nonlinear integral-differential equations in partial derivatives of the first order with edge conditions of the integral type. This model makes it possible to make multiple calculations with a view to obtaining the most probable picture of the development of the epidemic process at individual territories, to ascertain and make prognosis the terms and peaks of morbidity rises year after year in succession. The model permits the evaluation of specific features of the course of dysentery in patients of different ages in different groups of the population, affected by various nosological forms of shigellae. The relationships indicated by the model have been realized in the form of the computer program "SHIGELLA C" permitting multiple calculations of dysentery morbidity by means of an IBM PC/AT.