These types of predictions require a deep understanding of the ecology of mosquitoes. Similarly, predicting mosquito density and location is important when implementing an insecticide spraying strategy to prevent an outbreak. explored how more accurately predicting dengue transmission probability is valuable when deciding the appropriate control measures for a given outbreak. Often, the primary modeling goal is to understand how the dynamics of mosquito-borne diseases respond to extrinsic factors such as climate/temperature or to explore the impacts of potential prevention and control strategies. Models for VBDs run the gamut from simple to complex, depending on the goals of the model. Mathematical models are important tools for understanding how both intrinsic factors (such as host susceptibility) and extrinsic factors (such as environmental conditions or interventions) impact the dynamics of infectious diseases, and of vector-borne diseases (VBDs) in particular. Thus, methods to improve our current prevention and control strategies are sought in order to reduce the severity of ongoing outbreaks and prevent them from occurring. Instead, dengue prevention relies solely on vector control and avoidance. Currently, there is not an effective vaccine or cure for dengue. In particular, dengue is a life-threatening disease caused by dengue virus spread by Aedes species mosquitoes, including the yellow fever mosquito, Aedes aegypti. Mosquitoes transmit multiple pathogens, such as malaria, dengue, and Zika, that are responsible for significant death and morbidity in humans, making these animals among the most lethal to humans. Our results indicate that the four models exhibit qualitatively and quantitatively different behaviors when forced by temperature, but that all seem reasonably consistent with observed abundance data. Finally, we compare the predictions of the models to observations of Aedes aegypti abundances over time in Vitòria, Brazil. We evaluate different forms of models for mosquito densities based on these traits and explore their dynamics as temperature varies. We first discuss the mosquito traits involved in determining mosquito density, focusing on those that are temperature dependent. The goal of this paper is to investigate the various ways mosquito density has been quantified, as well as to propose a dynamical system model that includes the details of mosquito life stages leading to the adult population. While it remains very challenging to estimate the density of mosquitoes, modelers have tried different methods to represent it in mathematical models. Mosquito density plays an important role in the spread of mosquito-borne diseases such as dengue and Zika.
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