药物治疗缺乏免疫力个体的真菌感染的数学模型

Mathematical model of fungal infection in immune compromised individuals for drug treatment

研究了一类免疫力丧失的个体的真菌感染模型。将模型中细菌分为易感菌株、耐药菌株和后天获得耐药性菌株三类,对模型进行了定性分析,讨论了模型平衡点的存在性和稳定性。通过绘制模型的相轨线形象直观地分析了轨线的走向,看出使用抗真菌药物治疗真菌感染对耐药菌株的影响。

In this paper,a fungal infection model with immune compromised individuals is researched.In the model,bacteria are divided into three types:susceptible strain,resistant strain and the strain with acquired resistant.It researches the qualitative analysis,the existential condition and stability of equilibrium are also discussed.By drawing the path curve and analyzing the directions of the curve.And it proves the influences of the fungistatic drug treatment to the fungal infection.