Time delays produced by essential nonlinearity in population growth models (Q1820723)

It is pointed out that the asymptotic general solution to the \(\theta\)- model equation for a periodic carrying capacity K(t) and \(t\succcurlyeq r^{-1}\) is identical in form to the generalized logistic equation solution with a built-in developmental time delay \(\tau (\preccurlyeq r^{-1})\) and associated parameter ranges of primary biological interest. In the case of the \(\theta\)-model equation, the time delay is a purely dynamical consequence of the nonlinear form featured by the population growth rate.