On the pullback attractor for the non-autonomous SIR equations with diffusion

被引：6

作者：

Tan, Wen ^{[1
,2
]}

Ji, Yingdan ^{[3
]}

机构：

[1] Shenzhen Univ, Sch Math & Stat, Shenzhen 518060, Peoples R China

[2] Shenzhen Univ, Minist Educ, Key Lab Optoelect Devices & Syst, Minist Educ & Guangdong Prov,Coll Optoelect Engn, Shenzhen 518060, Peoples R China

[3] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 449卷 / 02期

关键词：

Non-autonomous; SIR model with diffusion; Higher-order attraction; (L-2; L2+delta) pullback attractors; MATHEMATICAL-THEORY; DYNAMICS; MODEL;

D O I：

10.1016/j.jmaa.2017.01.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the dynamics of a non-autonomous SIR model with diffusion. We first prove that the (L-2, L-2) pullback attractor attracts any bounded subset of L-2 in the topology of L2+delta for any delta >= 0. Then we show that the (L-2, L-2) pullback attractor is indeed a (L-2, L2+delta) pullback attractor. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：1850 / 1862

页数：13

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