Mathematical model for continuous delayed single-species population with impulsive state feedback control
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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.
KeywordsContinuous delayed single-species population Food-limited model Order-1 periodic solution Impulsive state feedback control
Mathematics Subject Classification34C05 92D25
- 15.Chen, L., Liang, X., Pei, Y.: The periodic solutions of the impulsive state feedback dynamical system. Commun. Math. Biol. Neurosci. (2018). https://doi.org/10.28919/cmbn/3754.14