Geodesic
The dynamics of the epidemic process with antibiotic-resistant variant of the pathogen
Matematičeskoe modelirovanie, Tome 31 (2019) no. 3, pp. 109-123.

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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. 
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A. N. Gerasimov. The dynamics of the epidemic process with antibiotic-resistant variant of the pathogen. Matematičeskoe modelirovanie, Tome 31 (2019) no. 3, pp. 109-123. http://geodesic.mathdoc.fr/item/MM_2019_31_3_a7/

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