Existence of global attractor for the Trojan Y Chromosome model

Abstract

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 $H^k(\Omega)^4$ $(k\geq 0)$ space.

Keywords

• global attractor
• trojan y chromosome model
• regularity estimates