A system of integral equations related to an epidemic model is investigated. Namely, we derive sufficient conditions for the existence and uniqueness of global solutions to the considered system. The proof is based on Perov’s fixed point theorem and some integral inequalities.

中文翻译：

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与流行病模型有关的积分方程组解的整体存在性

研究了与流行病模型有关的积分方程组。即，我们为所考虑的系统的全局解决方案的存在和唯一性得出充分的条件。证明基于Perov的不动点定理和一些积分不等式。