The male population M and female population F for a bird community have a constant death rate k and a variable birth rate μ(t)which has period T, so that  The births are seasonal, with rate Show that...

The male population M and female population F for a bird community have a constant death rate k and a variable birth rate μ(t)which has period T, so that
 The births are seasonal, with rate

Show that periodic solutions of period T exist for Mand F if kT = δε.