Journal of Applied Mathematics / 2012 / Article / Fig 4

Research Article

Qualitative and Computational Analysis of a Mathematical Model for Tumor-Immune Interactions

Figure 4

shows the bifurcation diagrams for the bilinear model (2.5) for the parameter ๐›ผ : [โ€”] represents the stable equilibrium, [- - -] represents the unstable equilibrium, [โ‹ฏ] is the stable limit cycles, while [โˆ˜] is the saddle node bifurcation. [โ€ข] is the transcritical bifurcation and [โ–ก] the supercritical Hopf bifurcation. The values of parameters are given in Table 1.
475720.fig.004a
(a) No Treatment Case, ๐‘  1 = ๐‘  2 = 0
475720.fig.004b
(b) Interleukin-2 Case ๐‘  1 = 0 , ๐‘  2 = 1 0
475720.fig.004c
(c) Adoptive cellular immunotherapy case, ๐‘  1 = 4 0 , ๐‘  2 = 0
475720.fig.004d
(d) Small interval of ๐›ผ for ACI Case, ๐‘  1 = 4 0 , ๐‘  2 = 0
475720.fig.004e
(e) Immunotherapy with both ACI and IL-2 ๐‘  1 = 4 0 , ๐‘  2 = 1 0
475720.fig.004f
(f) Small interval of ๐›ผ for immunotherapy with both ACI and IL-2 case, ๐‘  1 = 4 0 , ๐‘  2 = 1 0

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