@article{Liu2026, 
author = {Yuguo Liu and Dandan Liu and Lizhong Qiang},
title = {Global dynamics of an almost periodic diffusive single-species model with age structure},
year = {2026},
journal = {Electronic Research Archive},
volume = {34},
number = {4},
pages = {2364-2381},
keywords = {reaction-diffusion, almost periodic, single-species, maturation period, global dynamics},
url = {https://www.sciopen.com/article/10.3934/era.2026107},
doi = {10.3934/era.2026107},
abstract = {To understand the significant roles that seasonal variations and diffusion play in population growth, we proposed and investigated an almost periodic reaction-diffusion model incorporating age structure for a single species. The model was formulated as a reaction-diffusion system with a nonlocal term. Using the principal Lyapunov exponent        λ          ∗       as a threshold, we analyzed the global dynamics of this model. The results showed that the population will go extinct if        λ          ∗        <  0, but persist if        λ          ∗        >  0. We further established the existence of a globally attractive almost periodic solution when the population was uniformly persistent in a monotone case. The Nicholson blowflies model was investigated by means of numerical simulations, and the dependence of population development on maturation period, diffusion rate, and spatial environment was discussed.}
}