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.
On the global stability of the logistic age-dependent population growth.
MARCATI, PIERANGELO
1982-01-01
Abstract
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.File in questo prodotto:
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