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05

Dynamical Systems in Biology

Develop the mathematical tools used to understand how biological systems change through time. Begin with equilibria and one-dimensional stability, then move to phase planes, nullclines, Jacobians, linearisation, bifurcations, oscillations and limit cycles.

01Equilibria02Stability03Phase lines04Phase planes05Nullclines06Jacobian matrices07Linearisation08Eigenvalue stability09Bifurcations10Oscillations11Limit cycles12Biological interpretation