A new approach to persistence and periodicity of logistic systems with jumps

Kegang Zhao; Kegang Zhao

doi:10.3934/math.2021709

AIMS Mathematics

2021, Volume 6, Issue 11: 12245-12259. doi: 10.3934/math.2021709

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Research article

A new approach to persistence and periodicity of logistic systems with jumps

Kegang Zhao ^,

School of physical education, Shandong Normal University, Jinan, 250014, China

Received: 02 July 2021 Accepted: 15 August 2021 Published: 25 August 2021
MSC : 34A37, 34D20

This paper considers a class of logistic type differential system with jumps. Based on discontinuous control theory, a new approach is developed to guarantee the persistence and existence of a unique globally attractive positive periodic solution. The development results of this paper emphasize the effects of jumps on system, which are different from the existing ones in the literature. Two examples and their simulations are given to illustrate the effectiveness of the proposed results.
- logistic differential system,
- persistence,
- periodicity,
- globally attractive,
- jumps
Citation: Kegang Zhao. A new approach to persistence and periodicity of logistic systems with jumps[J]. AIMS Mathematics, 2021, 6(11): 12245-12259. doi: 10.3934/math.2021709

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Abstract

This paper considers a class of logistic type differential system with jumps. Based on discontinuous control theory, a new approach is developed to guarantee the persistence and existence of a unique globally attractive positive periodic solution. The development results of this paper emphasize the effects of jumps on system, which are different from the existing ones in the literature. Two examples and their simulations are given to illustrate the effectiveness of the proposed results.

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