2 animal populations are in competition. Population sizes measured in thousands are given by X and Y. They are modelled by the diff eqns:-

dx/dt = px -qxy, dy/dt = ry -sxy

p, q , r & s are constants. p does not = r

a) if there are no species Y ie (y = 0) find an eqn for x at time t if

\[x(0)= x_{0}\] where x > 0

b) determine the equilibrium points for the differential eqns above.

Many thanks