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.

中文翻译：

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具有病原体抗药性变异的流行过程的动力学

摘要

寄生虫-宿主系统被认为具有两种具有完全交叉保护功能的病原体变体，其中一种变体可能以一定概率转化为另一种变体。该系统对应于由病原体的抗生素抗性变异体引发的流行过程。研究了溶液的行为。事实证明，主案例具有一个独特的非平凡稳态解决方案，它是一个全局吸引子。获得了小偏差到稳态解的指数方法的速度。