The following Lotka-Volterra equations are a Kolmogorov type model of predator-prey relationships for interacting populations, e.g. hosts and parasites, yeasts and sugars, sharks and surfers. (1) x1 = p1x1 - p2x1x2 x1(0) = x10 (2) x2 = p3x2 - p1p4x1x2 x2(0) = x20 Parameters p1 to p4 are constant death and birth rates; x1 is the host population, x2 is the parasite population, and the product x1x2 represents the getting-together of the two species. Derive the small-perturbation equations for this NL model linearized about xe. Analyze the local stability of the equilibrium points, their phase plane, etc. (using matlab code).