An impulsively controlled three-species prey-predator model with stage structure and birth pulse for predator
type: Item
instance of: scholarly article
title: An impulsively controlled three-species prey-predator model with stage structure and birth pulse for predator
zbMATH Open document ID: 1418.92098
DOI: 10.1155/2015/380492
author: Yanyan Hu
author: Mei Yan
author: Zhongyi Xiang
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: We investigate the dynamic behaviors of a two-prey one-predator system with stage structure and birth pulse for predator. By using the Floquet theory of linear periodic impulsive equation and small amplitude perturbation method, we show that there exists a globally asymptotically stable two-prey eradication periodic solution when the impulsive period is less than some critical value. Further, we study the permanence of the investigated model. Our results provide valuable strategy for biological economics management. Numerical analysis is also inserted to illustrate the results.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34A37
zbMATH DE Number: 7025338
Wikidata QID: Q59105861
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/380492
OpenAlex ID: W1482825419
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description: scientific article; zbMATH DE number 7025338