Dynamics of Effector -Tumor-Interleukin-2 Interactions with Monod-Haldane Immune Response and Treatments

In this paper, we modify and study a deterministic mathematical model governing interactions between tumor cell (TCs), effector-cells (ECs) and interleukin-2 with treatments. We investigate local stability at equilibria. The system exhibits transcritical bifurcation at tumor free equilibrium which is proved analytically by using Sotomayer's theorem and illustrated numerically. Our study demonstrates that tumor is being eradicated after administration of external treatments. We execute extensive computer simulations and analyze with biological relevance.