[A mathematical model for controlling the spread of dengue]

Area of Science:

• Epidemiology
• Mathematical modeling
• Vector-borne disease dynamics

Context:

• Dengue fever poses a significant global public health challenge, necessitating effective surveillance and control strategies.
• Understanding the complex interactions between human populations and Aedes aegypti mosquito vectors is crucial for disease management.

Purpose:

• To develop and present a mathematical model simulating dengue transmission dynamics.
• To analyze the population behavior of Aedes aegypti and infected humans.
• To provide scientific support for dengue surveillance and control program decision-making.

Summary:

• A mathematical model comprising eight differential equations with constant delays was formulated to represent human and Aedes aegypti population dynamics.
• Simulations were conducted using MATLAB, incorporating data from Colombian Statistics Department (DANE), WHO, and literature reviews.
• The model's performance was evaluated by analyzing human and vector population data with and without control measures.

Impact:

• The developed mathematical model successfully simulates dengue transmission dynamics and population behaviors.
• This model serves as a valuable tool for scientifically informed decision-making in dengue surveillance and control efforts.
• The findings can enhance the efficiency and effectiveness of public health interventions against dengue.