Calculate the Jacobian matrix of the model at an equilibrium at the origin.What are equilibria of x, y, and z?
Consider the following model, dx dt = σ(y −x), dy dt = rx −xz −y, dz dt = xy −bz, where x, y, and z are scaled variables and can be negative. The parameters, σ,r, and b, are positive. (a) What are nullclines of x, y, and z? (b) What are equilibria of x, y, […]