S -asymptotically periodic solutions for an epidemic model with superlinear perturbation

Advances in Difference Equations

Gaston M. NGurkata¹  Jing-Yun Zhao¹  Hui-Sheng Ding³ 

[1] College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, People’Department of Mathematics, Morgan State University, Baltimore, USA;s Republic of China

关键词: S-asymptotically periodic;    delay integral equation;    superlinear perturbation;    45G10;    34K14;   

DOI  :  10.1186/s13662-016-0954-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is concerned with the existence of S-asymptotically periodic solutions for an epidemic model with superlinear perturbation. It seems that this is a first result as regards such a model with superlinear perturbation. We give sufficient conditions to ensure the existence of S-asymptotically periodic solutions for the problem addressed and give an example to show that our sufficient conditions can be satisfied.

【 授权许可】

CC BY