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Mathematical model for continuous delayed single-species population with impulsive state feedback control

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Abstract

In this paper, we formulate a mathematical model for a continuous delayed single-species population with impulsive state feedback control. We give the existence and uniqueness of the order-1 periodic solution in view of successor function. At the same time, the stability of the order-1 periodic solution is proved by means of Huang et al. (Nonlinear Dyn 90:1–9, 2017). Finally, some results are justified by some numerical simulations.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Huanghuai University, Zhumadian, 463000, Henan, People’s Republic of China

    Ying Chen & Zhong Zhao

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  1. Ying Chen
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  2. Zhong Zhao
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Correspondence to Zhong Zhao.

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This work is supported by the National Natural Science Foundation of China (No. 11371164), NSFC-Talent Training Fund of Henan (U1304104), innovative talents of science and technology plan in Henan Province (15HASTIT014) and Key Scientic Research Project of High Education Institutions of Henan Province (17A110026).

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Chen, Y., Zhao, Z. Mathematical model for continuous delayed single-species population with impulsive state feedback control. J. Appl. Math. Comput. 61, 451–460 (2019). https://doi.org/10.1007/s12190-019-01253-2

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  • DOI: https://doi.org/10.1007/s12190-019-01253-2

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