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.