Dengue fever, caused by the dengue virus and transmitted by Aedes mosquitoes, presents a significant public health challenge, especially in tropical regions. We investigate its transmission dynamics using various epidemiological mathematical models, focusing on both host (humans) and vector (Aedes mosquitoes) populations. In order to highlight the importance of the climatic region for the disease spread, we analyze both models within a single area (one-node) and a model with a tropical and non-tropical area (two-nodes). The initial one-node model employs the Susceptible-Infected-Susceptible (SIS) framework for both populations, accounting for contagion and recovery rates. Further one-node models incorporate vector population dynamics using an open Susceptible-Infected (SI) framework, including birth and death rates while excluding recovery rates, to reflect mosquitoes' shorter lifespan.