Lotka-Volterra Model. The following Lotka-Volterra equations are a Kolmogorovtype model of predator-prey relationships for interacting populations, e.g. hosts and parasites, yeasts and sugars, sharks and surfers. x˙1=p1x1−p2x1x2x˙2=p3x2+p1p4x1x2x1(0)=x10x2(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. a) Find the equilibrium steady state solutions for these equations, [xeye]T=xe in terms of the parameters.
