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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

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Commun. Math. Biol. Neurosci. 2015 (2015), Article ID 17

Existence of multiple positive almost periodic solutions to an impulsive non-autonomous Lotka-Volterra predator-prey system with harvesting terms

Chunhua Zhang, Yuying Zhang, Xiaoxing Chen

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Abstract

This paper is concerned with an almost periodic predator-prey system with impulsive non-autonomous Lotka-Volterra functional response and harvesting terms. By using Mawhins continuation theorem of coincidence degree theory and some analytical approaches, we establish the existence of eight positive almost periodic solutions for the system. Furthermore, our results improve the main results of paper [1]. An example is given to illustrate the effectiveness of our results.

Published
11 May 2015
Volume
2015 (2015)
License
CC BY 3.0

Copyright © 2015 Chunhua Zhang, Yuying Zhang, Xiaoxing Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

C. Zhang, Y. Zhang, X. Chen, Existence of multiple positive almost periodic solutions to an impulsive non-autonomous Lotka-Volterra predator-prey system with harvesting terms, Commun. Math. Biol. Neurosci. 2015 (2015), 17.

BibTeX
@article{Zhang2015,
  author  = {Zhang, Chunhua and Zhang, Yuying and Chen, Xiaoxing},
  title   = {Existence of multiple positive almost periodic solutions to an impulsive non-autonomous Lotka-Volterra predator-prey system with harvesting terms},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2015},
  year    = {2015},
  pages   = {17},
  doi     = {}
}