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