M. Langlais et Fa. Milner, SEPARABLE SOLUTIONS OF AN AGE-DEPENDENT POPULATION-MODEL WITH AGE DOMINANCE AND THEIR STABILITY, Mathematical biosciences, 119(1), 1994, pp. 115-125
Necessary and sufficient conditions are established for the existence
of separable solutions of an age-structured model of population dynami
cs with age dominance. Their asymptotic behavior is studied, and, for
certain forms of the demographic rates, the asymptotic stability of se
parable solutions is demonstrated.