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Multiscale population dynamics in reproductive biology: singular perturbation reduction in deterministic and stochastic models

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Academic year: 2021

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Figure 1. Trajectories in each maturity compartment (d = 10), for the rescaled variables x ε i , for different ε (solid colored lines, see legend insert) and the reduced limit variables ¯x i (black dashed lines)
Figure 2. Trajectories in the quiescent follicle compartment (top left panel) and distribution of the growing follicle population according to the maturity index i at time t = 0.1 (center top panel) and time t = 1 (center bottom panel), for the rescaled va
Figure 3. Convergence of the numerical scheme for the limit model as a function of ∆ x = ∆ t
Figure 4. Convergence of the numerical scheme for the rescaled model as a function of ∆ x , for ε = 0.5
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