Global asymptotic stability for Gurtin-MacCamy’s population dynamics model

نویسندگان

چکیده

In this paper, we investigate the global asymptotic stability of an age-structured population dynamics model with a Ricker's type birth function. This is hyperbolic partial differential equation nonlinear and nonlocal boundary condition. We prove uniform persistence result for semi-flow generated by model. obtain existence attractors positive equilibrium using suitable Lyapunov functional. Furthermore, that our sharp, in sense Hopf bifurcation may occur as close want from region space parameter.

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 2021

ISSN: ['2330-1511']

DOI: https://doi.org/10.1090/proc/15629