Abstract
This paper is to investigate positive periodic solutions of a biological system composed of two competing species. The existence and uniqueness of nonnegative solutions to the model for a set of given vital rates and initial distribution are treated and the contractive property of the solutions explored. Based on these results, some simple conditions for the global existence of positive periodic orbits are established by means of Horn’s asymptotic fixed point theorem.
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Supported by the National Natural Science Foundation of China (10771048, 11061017).
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He, Zr., Liu, Ll. & Luo, Zx. Global positive periodic solutions of age-dependent competing systems. Appl. Math. J. Chin. Univ. 26, 38–46 (2011). https://doi.org/10.1007/s11766-011-2503-2
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DOI: https://doi.org/10.1007/s11766-011-2503-2