Abstract
As commonly known, cancer is one of the fatal diseases to which considerable attention needs to be paid. The purpose of the research concerned here was to form a mathematical model of the spread of cancer with chemotherapy and to know the dynamics of its solution. As for the stages in achieving the purpose, they were forming a mathematical model, determining the point of equilibrium, determining the basic reproduction number, analyzing the stability around the equilibrium point, and conducting numerical simulation with the parameters given. The pattern of how cancer cells spread could be modeled in the form of a mathematical equation according to the system of differential equation. From the system formed, an equilibrium solution and an analysis of the behavioral dynamics of the cell spread with treatment in the form of chemotherapy were attained. Simulation with graphs indicates that the growth rate of cancer cells influences the population of the said cells. The greater the growth rate of cancer cells, the greater the population of those cells. Besides, it is also obtained that the increasing dosage of the drug given with the limits allowed, the lower of those cancer cells.
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