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Fig. 3 | Theoretical Biology and Medical Modelling

Fig. 3

From: Mathematical model of the life cycle of taenia-cysticercosis: transmission dynamics and chemotherapy (Part 1)

Fig. 3

Bifurcation diagrams of the transmission coefficients (β1, β2, β3) and the severities of the density-dependent constraints (α1, α2, α3), as a function of their respective mean intensities (M1, M2, M3). The range of time is from 0 to 20 years with steps of 0.1. The values of the parameters are:β1 = 0.32 (except in A); β2 = 0.44 (except in B); β3 = 0.05 (except in C); D1 = 0.96; D2 = 0.79; D3 = 0.96; H1 = 0.001; H2 = 0.6; b1 = 0.016; b2 = 0.9; α1 = 0 : 001(except in D); α2 = 0.38 (except in E); α3 = 0.08 (except in F); μ1 = 1; μ2 = 50; μ3 = 1; μ4 = 0.33; k1 = 0.02; k2 = 0.3; λ = 1 × 107; c2 = 0; p2 = 0; N1(0) = 1000; N2(0) = 1000. The value of Ro is 5.49. In all figures the solid lines denote the parabolic boundaries of the trajectories (see text for explanation). For each diagram, the breakpoints (MB), are marked as red dot. In D and F, there are multiple equilibria (marked in orange) until they reach a breakpoint. In D not all critical points are marked

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