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. 
@article{MM_2019_31_3_a7,
     author = {A. N. Gerasimov},
     title = {The dynamics of the epidemic process with antibiotic-resistant variant of the pathogen},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {109--123},
     publisher = {mathdoc},
     volume = {31},
     number = {3},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2019_31_3_a7/}
}
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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/