Email this article The Dynamics of the Epidemic Process with the Antibiotic-Resistant Variant of the Pathogen Agent
- Authors: Gerasimov A.N.1
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Affiliations:
- Federal State Autonomous Educational Institution of Higher Education Sechenov First Moscow State Medical University, Ministry of Health of the Russian Federation
- Issue: Vol 11, No 6 (2019)
- Pages: 884-893
- Section: Article
- URL: https://journals.rcsi.science/2070-0482/article/view/203774
- DOI: https://doi.org/10.1134/S2070048219060061
- ID: 203774
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Abstract
The parasite–host system is considered with two different variants of a pathogen agent with complete cross protection, where one of the variants may transform into another with a certain probability. This system corresponds to the epidemic process initiated by the antibiotic-resistant variant of the pathogen agent. The behavior of solutions is studied. It is proved that the main case has a unique nontrivial steady-state solution that is a global attractor. The speed of the exponential approach of small deviations to the steady-state solution is obtained.
About the authors
A. N. Gerasimov
Federal State Autonomous Educational Institution of Higher Education Sechenov First Moscow State Medical University, Ministry of Health of the Russian Federation
Author for correspondence.
Email: andr-gerasim@yandex.ru
Russian Federation, Moscow, 119146
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