Suppose the Equations $\frac{d y}{d t}=-4 y+2 x y$ $\frac{d x}{d t}=-x+x y$

Short Answer

Suppose the equations $\frac{d y}{d t}=-4 y+2 x y$ , $\frac{d x}{d t}=-x+x y$ describe the rates of growth of two interacting species, where x is the number of species A, measured in thousands, and y is the number of species B, measured in thousands.The slope field in the xy-phase plane is shown below.Sketch the trajectory for initial conditions of x = 1.5, y = 0.5.(In other words, there are initially 1500 of species A and 500 of species B).Is species A increasing or decreasing?