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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Global exponential stability of periodic solutions to a delay Lasota-Wazewska model with discontinuous harvesting
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by Lian Duan, Lihong Huang and Yuming Chen PDF
Proc. Amer. Math. Soc. 144 (2016), 561-573 Request permission

Abstract:

In this paper, we study a delay Lasota-Wazewska model with discontinuous harvesting, which is described by a periodic nonsmooth dynamical system. Based on a newly developed method, nonsmooth analysis, and the generalized Lyapunov method, easily verifiable delay-independent criteria are established to ensure the existence and global exponential stability of positive periodic solutions, which not only cover but also complement some existing ones. These theoretical results are also supported with numerical simulations.
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Additional Information
  • Lian Duan
  • Affiliation: College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, People’s Republic of China
  • MR Author ID: 869057
  • ORCID: 0000-0003-0339-7317
  • Email: lianduan0906@163.com
  • Lihong Huang
  • Affiliation: College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, People’s Republic of China
  • Address at time of publication: Department of Information Technology, Hunan Women’s University, Changsha, Hunan 410004, People’s Republic of China
  • MR Author ID: 257183
  • Email: lhhuang@hnu.edu.cn
  • Yuming Chen
  • Affiliation: Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada N2L 3C5
  • MR Author ID: 363105
  • Email: ychen@wlu.ca
  • Received by editor(s): September 6, 2014
  • Received by editor(s) in revised form: December 24, 2014
  • Published electronically: May 28, 2015
  • Additional Notes: This research was partially supported by the National Natural Science Foundation of China (11371127), Hunan Provincial Innovation Foundation for Postgraduate (CX2014B160), and the Natural Sciences and Engineering Research Council (NSERC) of Canada.
  • Communicated by: Yingfei Yi
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 561-573
  • MSC (2010): Primary 34A36; Secondary 34K09, 92D25
  • DOI: https://doi.org/10.1090/proc12714
  • MathSciNet review: 3430834