Insect Outbreak Model - A Cusp Catastrophe Population Dynamics Example

Explore a 26-minute video lecture on insect outbreak modeling using the cusp catastrophe population dynamics example. Delve into the mathematical biology of budworm populations and their impact on fir trees, with predation by birds. Examine the sudden changes in stable system states leading to devastating pest outbreaks. Learn about the mathematical model, fixed point analysis, parameter dependence, and the cusp catastrophe concept. Gain insights into nonlinear dynamics, bifurcations, and ecological forecasting through this comprehensive exploration of population dynamics and catastrophe theory.

Jump to the mathematical model .
Introduction to the spruce budworm.
Mathematical model of budworm population growth.
Aside: In 1D ODEs, adjacent fixed points are of alternating stability type.
Continuation of analysis of fixed points dependence on parameters.
Cusp catastrophe in the model.