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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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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Positive periodic solutions for a nonautonomous neutral delay prey-predator model with impulse and Hassell-Varley type functional response
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by Dongshu Wang PDF
Proc. Amer. Math. Soc. 142 (2014), 623-638 Request permission

Abstract:

In this paper, a nonautonomous neutral delay prey-predator model with impulse and Hassell-Varley type functional response is studied. By using the continuation theorem of coincidence degree theory, easily verifiable criteria are established for the existence of positive periodic solutions to the system.
References
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Additional Information
  • Dongshu Wang
  • Affiliation: School of Mathematical Sciences, Huaqiao University, Quanzhou Fujian, People’s Republic of China 362021
  • Email: wds-03@163.com, wangds@hqu.edu.cn
  • Received by editor(s): October 2, 2011
  • Received by editor(s) in revised form: March 17, 2012, and April 2, 2012
  • Published electronically: November 15, 2013
  • Additional Notes: This project was supported by the Natural Science Foundation of Overseas Chinese Affairs of the State Council (No. 09QZR10).
  • Communicated by: Yingfei Yi
  • © Copyright 2013 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 142 (2014), 623-638
  • MSC (2010): Primary 34K13, 34C25; Secondary 92D25
  • DOI: https://doi.org/10.1090/S0002-9939-2013-11793-4
  • MathSciNet review: 3134003