This study highlights the global vulnerability to diseases like COVID-19 and focuses on modeling the spread of mosquito-borne diseases, particularly leishmaniasis. The choice of leishmaniasis is due to its rising prevalence and the potential impact of climate change on sandfly populations, key vectors in its transmission. The modeling approach involves models based on differential equations and adaptation of SEIRD models used for COVID-19 to simulate the specific dynamics of transmission between sandflies and humans or dogs. Climate change is a critical factor, influencing disease patterns and spread through temperature rise that favor sandflies proliferation. This preliminary study aims to offer insights into the future evolution of the implementation of models to represent sandflies-borne diseases and strategies for mitigating their impacts.