Climate changes are affecting the control of many vector-borne diseases, particularly in Africa. In this work, a dengue fever model with protected travelers is formulated. Caputo-Fabrizio operator is utilized to obtain some qualitative information about the disease. The basic properties and the reproduction number are studied. The two steady states are determined and the local stability of the states are found to be asymptotically stable. The fixed point theory is used to obtain the existence and uniqueness of solutions of the model. The Adams–Bashforth scheme is employed to solve an approximate solution of the fractional dengue model. The numerical simulation suggests that the fractional-order affects the dynamics of dengue fever.

气候变化正在影响许多病媒传播疾病的控制，特别是在非洲。在这项工作中，制定了具有受保护旅行者的登革热模型。Caputo-Fabrizio 算子用于获取有关疾病的一些定性信息。研究了基本性质和再生数。确定了两个稳态，并且发现状态的局部稳定性是渐近稳定的。不动点理论用于获得模型解的存在唯一性。Adams-Bashforth 方案用于求解分数登革热模型的近似解。数值模拟表明分数阶会影响登革热的动力学。