Almost periodic solutions for a class of discrete systems with Allee-effect. (Q464699)

In this paper, the authors use Mawhin's continuation theorem to obtain a sufficient condition for the existence of positive almost periodic solutions for a delayed discrete time population model, which is characterized as being subject to Allee effects. Although the treatment of the problem is adequate and the results are valid, neither this discrete model nor the continuous one from which it is derived, however, appear to be models with Allee effects. They do not exhibit the hallmark of Allee effects, namely a decline in individual fitness at low population density, which usually implies the existence of a critical threshold below which populations cannot escape extinction. Instead, these models appear to be single-species models with multiple intraspecies competition terms.