Dynamical behaviors of a stage-structured predator-prey model with harvesting effort and impulsive diffusion
type: Item
instance of: scholarly article
title: Dynamical behaviors of a stage-structured predator-prey model with harvesting effort and impulsive diffusion
zbMATH Open document ID: 1418.92094
DOI: 10.1155/2015/371852
author: Lingzhi Huang
author: Zhichun Yang
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: We consider a delayed predator-prey model with harvesting effort and impulsive diffusion between two patches. By the impulsive comparison theorem and the discrete dynamical system determined by the stroboscopic map, we obtain some sufficient conditions on the existence and global attractiveness of predator-eradicated periodic solution for the system. Furthermore, the permanence of the system is derived. The obtained results will modify and improve the ones in some existing publications and give the estimate for the ultimately low and upper boundedness of the systems.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34K45
zbMATH DE Number: 7025333
Wikidata QID: Q59105853
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/371852
OpenAlex ID: W1495985470
cites work: Q4106027
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description: scientific article; zbMATH DE number 7025333