2:00 74 0 Eall The Lotka-Volterra equations, also known as the predator-prey equations, are a pair of first-order nonlinear differential equations, frequently used to describe the dynamics of...

Extracted text: 2:00 74 0 Eall The Lotka-Volterra equations, also known as the predator-prey equations, are a pair of first-order nonlinear differential equations, frequently used to describe the dynamics of biological systems in which two species interact, one as a predator and the other as prey. The populations change through time according to the pair of equations: da = ax - By, dt dy = &xy – VY, dt where x is the number of prey (for example, rabbits); y is the number of some predator (for example, foxes); dy and represent the instantaneous growth rates of the two populations; dt dt t represents time; a, B, 7, ô are positive real parameters describing the interaction of the two species. Find the fixed points in the system determine their types