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Almost periodic solution analysis in a two-species competitive model of plankton alleopathy with impulses

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Abstract

In this paper, we investigate a two-species competitive model of plankton alleopathy with impulses. By constructing a suitable Lyapunov function, we establish some sufficient conditions which guarantee the uniformly asymptotic stability of a unique positive almost periodic solution for the model. An example with its numerical simulations is given which is in a good agreement with our theoretical analysis. Our results are new and complement previously known results.

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Acknowledgments

This work is supported by National Natural Science Foundation of China (No.11261010, No.11201138 and No.11101126), Governor Foundation of Guizhou Province([2012]53) and Scientific Research Fund of Hunan Provincial Education Department (No. 12B034).

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Authors and Affiliations

  1. Guizhou Key Laboratory of Economics System Simulation, School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, 550004, People’s Republic of China

    Changjin Xu

  2. College of Science, Hunan University of Technology, Zhuzhou, 412007, People’s Republic of China

    Qiming Zhang

  3. School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, 471023, People’s Republic of China

    Peiluan Li

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  1. Changjin Xu
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Correspondence to Changjin Xu.

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Xu, C., Zhang, Q. & Li, P. Almost periodic solution analysis in a two-species competitive model of plankton alleopathy with impulses. J. Appl. Math. Comput. 50, 437–452 (2016). https://doi.org/10.1007/s12190-015-0878-6

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