Separated solutions of logistic equation with nonperiodic harvesting

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:445

Article

Ahmad, Shair¹  Lazer, Alan C.² 

[1] Univ Texas San Antonio, Dept Math, San Antonio, TX 78249 USA

[2] Univ Miami, Dept Math, Coral Gables, FL 33124 USA

关键词: Logistic;    Separated solutions;    Blow up;    Non-periodic;    Species;    Harvesting;   

DOI  :  10.1016/j.jmaa.2016.08.013

来源: Elsevier

【 摘 要 】

In this paper, we study Logistic equations with non-periodic harvesting. We introduce the notion of separated solutions and then show the existence of upper and lower solutions that are separated. We further show that the lower solution is unique and all solutions that start above the lower solution tend to each other, while solutions that start below the lower solution blow up in finite time. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free