On the global stability of the logistic age-dependent population growth.
We study an age-dependent population equation with a nonlinear death rate of "logistic" type. The global asymptotic stability of the null solution is investigated when R(0) less than 1. If R(0) greater than 1 we get the existence of a nontrivial steady state that becomes asymptotically stable itself, while the null solution is unstable. The rate of decay is estimated.
D000375:Aging; D003710:Demography; D006801:Humans; D008433:Mathematics; D008954:Models, Biological; D009026:Mortality; D011153:Population