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Figure 21 | Theoretical Biology and Medical Modelling

Figure 21

From: Mathematical modeling of solid cancer growth with angiogenesis

Figure 21

Dynamical trajectories using γ near but greater than γ 2 c Dynamical trajectories of the system (1) considering the values of parameters given in Table 2, except γ near but greater than γ 2 c . When T(0) = 0.42 ( Q ̄ 0 is attracting for T(0) = 0.41), limit cycle disappears for γ = 2.520 × 10-2. Being Q ̄ > * unstable, the dynamical trajectories go to trivial Q ̄ 0 after one oscillation (a). However, the number of oscillations increases if γ is very close to γ 2 c . For γ = 2.519675 × 10-2 and T(0) = 0.42, Q ̄ 0 is attained after three oscillations: C and E (b), T (c), P and A (d). 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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