Mathematical Modelling and Optimal Control Technique and Analysis of Insecticides Susceptibility in Status on Mosquitoes and Community Knowledge on Malaria

This study focuses on developing a mathematical model to analyse the effects of insecticide application on mosquito populations and the role of community awareness in controlling malaria transmission. The model incorporates factors such as insecticide resistance, mosquito life cycles, and human behaviour to optimize control strategies. The results demonstrate that a combination of targeted insecticide application and community education significantly decreases malaria transmission rates, providing a comprehensive approach to managing this public health challenge. The study revealed that mathematical modelling can effectively predict changes in insecticide susceptibility among mosquito populations. Optimal control strategies were identified, which included targeted insecticide application and community education programs. These strategies significantly reduced the transmission rates of malaria, highlighting the importance of integrating scientific models with public health initiatives.