dP

Consider a rabbit population P$($t$)$ satisfying the logistic equation

$=$ aP$-$bP$2,$ where B $=$ aP is the time rate at which dt

births occur and D $=$ bp$2$ is the rate at which deaths occur. If the initial population is $240$ rabbits and there are $6$ births per month and $15$ deaths per month occurring at time t $=0,$ how many months does it take for P$($t$)$ to reach $110\%$ of the limiting population M$?$