Asymptotic periodicity of a food-limited diffusive population model with time-delay |
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Authors: | Jinliang Wang Li Zhou |
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Affiliation: | a Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074, PR China b Department of Mathematics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, PR China |
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Abstract: | In this paper, a general reaction-diffusion food-limited population model with time-delay is proposed. Accordingly, the existence and uniqueness of the periodic solutions for the boundary value problem and the asymptotic periodicity of the initial-boundary value problem are considered. Finally, the effect of the time-delay on the asymptotic behavior of the solutions is given. |
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Keywords: | Time-delay Asymptotic periodicity Upper-lower solution method Existence Uniqueness Food-limited population model |
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