Existence of global attractor for the Trojan Y Chromosome model
نویسندگان
چکیده
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 (Ω) (k ≥ 0) space.
منابع مشابه
The existence of global attractor for a Cahn-Hilliard/Allen-Cahn equation
In this paper, we consider a Cahn-Hillard/Allen-Cahn equation. By using the semigroup and the classical existence theorem of global attractors, we give the existence of the global attractor in H^k(0
متن کاملOn the Well Posedness and Refined Estimates for the Global Attractor of the TYC Model
The Trojan Y Chromosome strategy TYC is a theoretical method for eradication of invasive species. It requires constant introduction of artificial individuals into a target population, causing a shift in the sex ratio that ultimately leads to local extinction. In this work we demonstrate the existence of a unique weak solution to the infinite dimensional TYC system. Furthermore, we obtain improv...
متن کاملGlobal attractor for a nonlocal hyperbolic problem on ${mathcal{R}}^{N}$
We consider the quasilinear Kirchhoff's problem$$ u_{tt}-phi (x)||nabla u(t)||^{2}Delta u+f(u)=0 ,;; x in {mathcal{R}}^{N}, ;; t geq 0,$$with the initial conditions $ u(x,0) = u_0 (x)$ and $u_t(x,0) = u_1 (x)$, in the case where $N geq 3, ; f(u)=|u|^{a}u$ and $(phi (x))^{-1} in L^{N/2}({mathcal{R}}^{N})cap L^{infty}({mathcal{R}}^{N} )$ is a positive function. The purpose of our work is to ...
متن کاملSecurity-aware register placement to hinder malicious hardware updating and improve Trojan detectability
Nowadays, bulk of the designers prefer to outsource some parts of their design and fabrication process to the third-part companies due to the reliability problems, manufacturing cost and time-to-market limitations. In this situation, there are a lot of opportunities for malicious alterations by the off-shore companies. In this paper, we proposed a new placement algorithm that hinders the hardwa...
متن کاملI-49: Human Y Chromosome ProteomeProject
The success of the Human Genome Project (HGP) has provided a blueprint for the approximately 20,000 gene-encoded proteins potentially active in all of the hundreds of cell types that make up the human body. Yet we still have limited knowledge about a majority of the gene-encoded proteins which are the “building blocks of life” and “cellular machinery”. It is estimated that for nearly half of th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2012