Global attractivity and almost periodic solution of a discrete mutualism model with delays |
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Authors: | Hui Zhang Yingqi Li Bin Jing |
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Institution: | Mathematics and OR Section, Xi'an Research Institute of High‐tech Hongqing Town, , Xi'an, Shaanxi 710025, China |
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Abstract: | In this paper, we consider an almost periodic discrete Lotka–Volterra mutualism model with delays. We first obtain the permanence and global attractivity of the system. By means of an almost periodic functional hull theory and constructing a suitable Lyapunov function, sufficient conditions are obtained for the existence of a unique strictly positive almost periodic solution, which is globally attractive. An example together with numerical simulation indicates the feasibility of the main result. Copyright © 2013 John Wiley & Sons, Ltd. |
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Keywords: | almost periodic solution mutualism model discrete delay permanence global attractivity |
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