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# The asymptotic behavior of a population equation with diffusion and delayed birth process

• This paper is devoted to study the well-posedness and the asymptotic behavior of a population equation with diffusion in $L^1$. The death and birth rates depend on the age and the spatial variable. Here we allow the birth process to depend also on some modified delay. This paper is a continuation of the studies done by Nickel, Rhandi and Schnaubelt in [28][32][33] and Fragnelli, Maniar, Piazzera and Tonetto in [15][21][29][30].
Mathematics Subject Classification: 34D05, 34D10, 34K30, 35F15, 47D06, 92D25.

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