The Global Attractor of a Non-Local PDE Model with Delay for Population Dynamics in Rn  

作　　者：Xiang LI Zhi Xiang LI 

机构地区：[1]Department of Mathematics and Systems Science, College of Science,National University of Defense Technology, Changsha 410073, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2011年第6期1121-1136,共16页数学学报（英文版）

摘　　要：In this paper, we consider a non-local PDE model with delay for population dynamics in Rn. First, we prove the existence and uniqueness of weak solutions under some suitable decayed assumptions on non-local term at infinity. Then, we obtain the global attractor by proving w-limit compactness property of the solution operator semigroup.In this paper, we consider a non-local PDE model with delay for population dynamics in Rn. First, we prove the existence and uniqueness of weak solutions under some suitable decayed assumptions on non-local term at infinity. Then, we obtain the global attractor by proving w-limit compactness property of the solution operator semigroup.

关 键 词：Non-local PDE model w-limit compact global attractor 

分 类 号：O175[理学—数学] Q141[理学—基础数学]