Positive periodic solution of a discrete obligate Lotka-Volterra model
Abstract
In this paper, sufficient conditions are obtained for the existence of positive periodic solution of the following discrete obligate Lotka-Volterra model
$$\begin{array}{rcl}
x_1(k+1)&=& x_1(k)\exp\big\{ - a_1(k)-b_1(k)x_1(k)+c_1(k)x_2(k)\big\},\\[4mm]
x_2(k+1)&=& x_2(k)\exp\big\{ a_2(k)-b_2(k)x_2(k)\big\},
\end{array}
$$
where $ \{a_{i}(k)\}, \{b_{i}(k)\}, i=1, 2$ and $\{c_1(k)\} $ are all positive $\omega$-periodic sequences, $\omega $ is a fixed positive integer.- Published
- 11 May 2015
- Volume
- 2015 (2015)
- License
- CC BY 3.0
Copyright © 2015 Fengde Chen, Liqiong Pu, Liya Yang. 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
F. Chen, L. Pu, L. Yang, Positive periodic solution of a discrete obligate Lotka-Volterra model, Commun. Math. Biol. Neurosci. 2015 (2015), 14.
BibTeX
@article{Chen2015,
author = {Chen, Fengde and Pu, Liqiong and Yang, Liya},
title = {Positive periodic solution of a discrete obligate Lotka-Volterra model},
journal = {Commun. Math. Biol. Neurosci.},
volume = {2015},
year = {2015},
pages = {14},
doi = {}
}