Abstract

The objective of this study is to develop a mathematical model to understand cancer progression driven by chronic inflammation. The model is formulated using a system of nonlinear ordinary differential equations incorporating tumor growth, inflammation, immune suppression, and vascular support. Analytical techniques, including equilibrium analysis and Jacobian- based stability analysis, are used to examine system behavior. The results indicate that chronic inflammation increases tumor growth by enhancing the effective growth rate and promoting immune suppression, which reduces immune response effectiveness. Stability analysis shows that the system attains a locally asymptotically stable equilibrium, indicating persistent cancer progression. The study concludes that cancer progression is sustained by feedback interactions between tumor growth, inflammation, and immune suppression. These findings highlight the importance of targeting both inflammation and immune mechanisms in cancer treatment strategies.

Keywords

Chronic Inflammation, Immune suppression, Mathematical modeling, Stability analysis, Tumor dynamics.

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