Fractional Mathematical model on Transmission and Control of the Spread. Of Myiasis in Human System Using Insect Repellents

      Аннотация: In this project work, we proposed a fractional SEITR order model to study the transmission dynamics of Myiasis. We showed the existence of the equilibrium states. The basic reproduction number of the model was evaluated in terms of parameters in the model using the next generation matrix approach. We provided the conditions for the stability of the disease-free and the endemic equilibrium points. Also a detailed stability analysis of the model was carried out. Also, numerical simulations of the model were carried out using Adams-type predictor-corrector method and the project provided a theoretical basis to control the spread of Myiasis.

Ключевые слова: human system, Myiasis, Insect Repellents, SEITR, transmission dynamics of Myiasis, equilibrium states, Adams-type predictor-corrector