Todays topics: Extensions of Lotka-Volterra prey/predator model (logistic growth of prey and type-II functional response due to predator) --> the Rosenzweig-MacArthur prey/predator model (section 2

Todays topics: Extensions of Lotka-Volterra prey/predator model (logistic growth of prey and type-II functional response due to predator) --> the Rosenzweig-MacArthur prey/predator model (section 2.4 in the book), steady states and their stability properties (saddle point, stable node, unstable node, stable focus/spiral, unstable focus/spiral, neutral center), systems in Kolmogorov form, Routh-Hurwitch criteria for eigenvalues of 2x2 matrices (Appendix B), phase plane analysis and sketching of phase plane diagrams (Appendix B).

Exercises: 2.4 in the book + perform an analysis of the non-dimensionalized version of the Rosenzweig-MacArthur model (see p. 61 in the book, eqn. 2.4.13). Determine all steady states and their stability properties (saddle point, stable node, unstable node, stable focus/spiral, unstable focus/spiral, neutral center) by explicit computing the eigenvalues and / or using the Routh-Hurwitch criteria.