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首页> 外文期刊>Differential and integral equations >ASYMPTOTIC BEHAVIOR IN NOSOCOMIAL EPIDEMIC MODELS WITH ANTIBIOTIC RESISTANCE
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ASYMPTOTIC BEHAVIOR IN NOSOCOMIAL EPIDEMIC MODELS WITH ANTIBIOTIC RESISTANCE

机译：具有抗生素抗药性的流行病模型的渐近行为

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摘要

We study a model of an antibiotic resistance in a hospital setting. The model connects two population levels - bacteria and patients. The bacteria population is divided into non-resistant and resistant strains. The bacterial strains satisfy ordinary differential equations describing the recombination and reversion processes producing the two strains within each infected individual. The patient population is divided into Kusceptibles, infectives infected with the non-resistant bacterial strain, and infectives infected with the resistant, bacterial stain. The infective classes satisfy partial differential equations for the infection age densities of the two classes. We establish conditions for the existence of three possible equilibria for this model: (1) extinction of both infective classes, (2) extinction of the resistant infectives and endemicity of the non-resistant infectives, and (3) endemicity of both infective classes. We investigate the asymptotic behavior of the solutions of the model with respect to these equilibria.
机译：我们研究了在医院中抗生素耐药性的模型。该模型将两个种群级别联系在一起-细菌和患者。细菌种群分为非抗性和抗性菌株。细菌菌株满足常微分方程，描述了在每个感染个体内产生两种菌株的重组和回复过程。患者人群分为易感者，感染了非耐药菌的传染病和感染了耐药菌的感染物。感染类别满足这两个类别的感染年龄密度的偏微分方程。我们为该模型存在三个可能的平衡建立了条件：（1）两种传染性类别的灭绝，（2）耐药性传染性的灭绝和非耐药性传染性的流行，以及（3）两种传染性类别的普遍性。我们研究了关于这些平衡的模型解的渐近行为。

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