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)<1. If R(0)>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.
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Marcati, P. On the global stability of the logistic age-dependent population growth. J. Math. Biol. 15, 215–226 (1982). https://doi.org/10.1007/BF00275074
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DOI: https://doi.org/10.1007/BF00275074