Effect of virotherapy treatment on the dynamics of tumor growth through fractional calculus

Abstract

It has been reported that the quick progression and abnormal division of cells give rise to tumors. New cells are produced to fulfill new duties and replace older cells in the body of the host. It is obvious that tumors are deadly and affect practically every aspect of human life. Businesses, families, patients, and society as a whole lose financial resources and opportunities as a result of cancer and its treatment. Therefore, it is crucial to look at how tumors behave dynamically as a result of therapy and to highlight for policymakers and health officials the key elements of the system. In this research work, we formulate the transmission phenomena of tumor growth with the effect of virotherapy treatment in the fractional framework. Besides that, we focussed in our work on qualitative analysis and dynamic behavior of tumor dynamics. Using Banach’s and Schaefer’s theorems and the fixed-point theorem, the uniqueness and existence of the solution to the suggested model of tumor are examined. The necessary circumstances are established for our tumor system’s Ulam-Hyers stability. Laplace Adomian decomposition approach is used to examine the solution pathways and show the contribution of input factors on the dynamics of tumor growth. More specifically, we focused on the time series and chaotic behavior of the suggested system with change in input factors. The system’s most crucial components are recommended for regulating the dynamics of the tumor system.