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Positive periodic solutions for a nonautonomous neutral delay prey-predator model with impulse and Hassell-Varley type functional response


Author: Dongshu Wang
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
Published electronically: November 15, 2013
MathSciNet review: 3134003
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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.


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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

DOI: https://doi.org/10.1090/S0002-9939-2013-11793-4
Keywords: Impulse, neutral, positive periodic solution, Hassell-Varley type functional response, coincidence degree theory
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
Article copyright: © Copyright 2013 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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