Existence of global attractor for the Trojan Y Chromosome model

X. P. Zhao, B. Liu and N. Duan,  Electronic Journal of Qualitative Theory of Differential Equations,  2011.

This paper is concerned with the long time behavior of solution for the equation derived by the Trojan Y Chromosome (TYC) model with spatial spread. Based on the regularity estimates for the semigroups and the classical existence theorem of global attractors, we prove that this equations possesses a global attractor in H-k(Omega)(4) (k >= 0) space.