In medical field disease diagnosis the use of differential equations increase to analysis the increase patterns of tumours by representing the how cells is divide, nutrients movement, and the immune system reacts. These models, which include exponential, logistic, Gompertz, and reaction-diffusion frameworks, show important biological processes that control how tumours grow. The integration of biologic system with mathematical model make it more reliable and behave as most prominent analysis in medical field. This study of paper has shown the improve treatment plans, identify the growth rates, and find out how cells go from avascular to vascular growth phases. It gives important information for both theoretical cancer and clinical decision-making.