Mathematical Modeling on Malaria Dynamics: Immunity, Reinfection, Drug Resistance, Treatment and Vector Control by Sensitization.
Mathematical Modeling on Malaria Dynamics: Immunity, Reinfection, Drug Resistance, Treatment and Vector Control by Sensitization.
Keywords:
Immunity, Treatment, Reinfection, Resistance, SensitizationAbstract
Malaria is a serious public health issue that impacts a vast number of people worldwide. A mathematical model of malaria that included medication resistance, re-infection, immunity, intensive treatment, and vector control by sensitization was examined in order to address the dynamics of the disease. The Next Generation Matrix Method's Disease Free Equilibrium was used to analyze the model. It was discovered that when the fundamental reproductive number is smaller than one, the Disease Free Equilibrium is asymptotically stable both locally and globally; otherwise, it is unstable. Additionally, the Endemic Equilibrium was computed. Additionally, the endemic equilibrium's local stability was assessed. The Lyapunov function was used to analyze the Endemic Equilibrium point's global stability. The findings demonstrated that when the fundamental reproductive number is bigger than one, it is globally asymptotically stable; otherwise, it is unstable. Furthermore, the most vulnerable characteristics were shown by sensitivity analysis of the basic reproductive number. The findings indicated that rigorous treatment lowers the infectious curve and that vector control sensitization should be implemented to lower malaria infections. The Ministry of Health will benefit from this study since it will help raise awareness about vector control by advising people to use treated mosquito nets, and apply insecticide to prevent mosquito bites, which will reduce the number of malaria infections. Additionally, it assists policymakers and the government in making sure that people in areas where malaria is endemic are aware of the importance of vector management.
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