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Figure 12 | Theoretical Biology and Medical Modelling

Figure 12

From: Mathematical modeling of solid cancer growth with angiogenesis

Figure 12

Bifurcation diagram varying ε. The bifurcation diagram of T ̄ varying ε, showing the attracting regions. With respect to the coordinates of small equilibrium point Q ̄ < * , the trivial Q ̄ 0 is attractor for initial conditions in a very small region I, and for initial conditions in regions II and III Q ̄ > * is the attractor (a). There is not a critical value due to influx γP in equation for A. However, for γ = 0, we have bifurcation diagram similar to the Figure 10.b: for ε <εth, trivial Q ̄ 0 is attractor in I (and for all initial conditions in Ia), and Q ̄ > * is attractor in II and III (b) for ε > εth. The scales of vertical and horizontal axes must be multiplied by the factors shown in the legends to obtain the actual values.

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