A fractional mathematical model of tumor-virus dynamics and its treatment via virotherapy

In this thesis, our aim is to remodel the tumor growth process using different fractional differential operators, to investigate the numerical solutions of these models, and to analyze the tumor growth process. A numerical algorithm based on Newton polynomial will be presented for the numerical solution of model with these operators. The positivity of the solutions of the model will be proved and equilibrium points will be obtained. In addition, the basic reproduction number which is used to measure the transmission potential of a virus will be calculated for the considered model. Then, the model will be reconstructed with the newly introduced piecewise differential operator, and the behavior of this new model will be examined and the effects of the fractional order on the tumor growth process will be investigated. Numerical simulations will be presented for the numerical solution of the model with different differential operators.