Global Dynamics of the Angiogenesis in a Tumor-Immune System Model

In this work we study the global dynamics of the tumor angiogenesis developed by Louise Viger using the Localization of Compact Invariant Sets. This model describes the behavior and interactions of the population of host, effector, tumor and endothelial cells. We defined the upper and lower bounds for the cell populations. These bounds contain all dynamics of the state variables for any initial condition also we defined conditions for the convergence to thetumor free equilibrium point and we present the simulationof the system under these conditions.