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The interactions between a solid tumor and the immune system
are described both prior to and after neovascularization
by a predator-prey model, and predictions about tumor behavior
in a host are made. Trajectory analysis of phase-plane
portraits as well as standard perturbation analysis show
that most system steady states are unstable but that
stability is theoretically possible. Reasonable parameter
value estimation enables meaningful analysis of system
behavior, and Mathematica is used to simulate model
dynamics. The model accounts for many observed tumor
behaviors, and regions of uncontrolled tumor growth,
tumor extinction in finite time, and irreversible lymphocyte
decline are found either analytically or numerically. A
better understanding of tumor-immune dynamics is obtained,
allowing for improved research on treatment specifically in
the area of immunotherapy.