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In this paper, we investigated the global attractivity of the positiveconstant steady state solution of the mature population $w(t,x)$ governed bythe age-structured model: \begin{equation*} \left\{\begin{array}{ll}\frac{\partial u}{\partial t}+\frac{\partial u}{\partial a}=D(a)\frac{\partial^2 u}{\partial x^2} - d(a)u, & t\geq t_0\geq A_l,\;a\geq 0,\; 0< x< \pi,\\w(t,x)=\int_r^{A_l}u(t,a,x)da,& t\geq t_0\geq A_l,\; 0<x<\pi,\\u(t,0,x)=f(w(t,x)), & t\geq t_0\geq A_l,\; 0<x<\pi,\\u_x(t,a,0)=u_x(t,a,\pi)=0,\;& t\geq t_0\geq A_l,\; a \geq 0, \end{array}\right. \end{equation*} when the diffusion rate $D(a)$ and the death rate$d(a)$ are age dependent, and when the birth function $f(w)$ is nonmonotone. Wealso presented some illustrative examples.

A Global Attractivity in a Nonmonotone Age-Structured Model with Age Dependent Diffusion and Death Rates