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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2019 Volume 31, Number 3, Pages 109–123 (Mi mm4058)

This article is cited in 3 papers

The dynamics of the epidemic process with antibiotic-resistant variant of the pathogen

A. N. Gerasimov

Sechenov University

Abstract: The system of "parasite-host" with two different infectious agents with a full cross-protection, and one of the options may vary in other. this system corresponds to the epidemic process of pathogen infectious agent having antibiotic-persistent option. the character of the behavior of solutions was studied. it is proved that the main case is a unique non-trivial steady-state solution, which is a global attractor. for small deviations obtained exponential speed reduction ratio deviations morbidity two options.

Keywords: host-parasite system, mathematical models in epidemiology, epidemic process model, antibiotic-resistant variants of the pathogen.

Received: 14.09.2017
Revised: 09.01.2018
Accepted: 10.09.2018

DOI: 10.1134/S0234087919030080


 English version:
Mathematical Models and Computer Simulations, 2019, 11:6, 884–893

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