A host-vector disease model with insecticide resistance genes is proposed as a system of differential equations. The resistance-induced reproduction number \({\mathcal {R}}_e\) is determined and qualitative stabilities analysis are provided. We use the model to study the effects of insecticide resistance of vectors on the spread of the disease. The resistance-induced reproduction number \({\mathcal {R}}_e\) is compared with the basic reproduction number \(({\mathcal {R}}_0)\) in the absence of resistant strain to assess the effects of insecticide resistance.

中文翻译：

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媒介遗传学对宿主媒介疾病影响的理论评估

提出了具有杀虫剂抗性基因的宿主-载体疾病模型作为微分方程组。确定电阻诱导的繁殖数\（{\数学{R}} _ e \）并提供定性稳定性分析。我们使用该模型来研究载体的杀虫剂抗性对疾病传播的影响。在没有抗性菌株的情况下，将电阻诱导的繁殖数\（{{数学{R}} _ e \）与基本繁殖数\（（{{数学{R}} _ 0）\）进行比较，以评估抗药性抗杀虫剂。