Existence of global attractor for the Trojan Y Chromosome model

Existence of global attractor for the Trojan Y Chromosome model

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X. P. Zhao, B. Liu and N. Duan,  Electronic Journal of Qualitative Theory of Differential Equations,  2011-07-11 17:09:12.

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.