Dynamic Systems in Biology

Related lectures (30)

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Covers the formalism and bases of dynamic systems, including differential equations and non-linear systems.

Explores phase portraits in 2D systems and the dynamics of predator-prey models.

Covers open methods, Newton-Raphson, and secant method for iterative solutions in numerical methods.

Covers dynamic systems, trajectories, growth models, stability of fixed points, and linearization of models.

Covers non-linear systems in 2D, focusing on predator-prey models and stability analysis of fixed points.

Introduces numerical methods for solving nonlinear equations, emphasizing the problem position and the Newton method for fixed points.

Covers fixed point methods and the Picard method for solving nonlinear equations iteratively.

Covers fixed-point methods and Newton-Raphson, emphasizing their convergence and error control.

Covers Newton's method for finding zeros of functions through fixed point iteration and discusses convergence properties.

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.