A mathematical model for Vibrio Cholerae (V. Cholerae) in a closed environment is considered, with the aim of investigating the impact of climatic factors which exerts a direct influence on the bacterial metabolism and on the bacterial reservoir capacity. We first propose a V. Cholerae mathematical model in a closed environment. A sensitivity analysis using the eFast method was performed to show the most important parameters of the model. After, we extend this V. cholerae model by taking account climatic factors that influence the bacterial reservoir capacity. We present the theoretical analysis of the model. More precisely, we compute equilibria and study their stabilities. The stability of equilibria was investigated using the theory of periodic cooperative systems with a concave nonlinearity. Theoretical results are supported by numerical simulations which further suggest the necessity to implement sanitation campaigns of aquatic environments by using suitable products against the bacteria during the periods of growth of aquatic reservoirs.

中文翻译：

---

气候因素对霍乱弧菌模型影响的理论评估

考虑了封闭环境中霍乱弧菌 (V. Cholerae) 的数学模型，目的是研究气候因素对细菌代谢和细菌库容量产生直接影响的影响。我们首先在封闭环境中提出了霍乱弧菌数学模型。使用 eFast 方法进行敏感性分析以显示模型最重要的参数。之后，我们通过考虑影响细菌库容量的气候因素来扩展此霍乱弧菌模型。我们介绍了该模型的理论分析。更准确地说，我们计算平衡并研究它们的稳定性。使用具有凹非线性的周期性合作系统的理论研究了平衡的稳定性。