Permanence of a two species delayed competitive model with stage structure and harvesting

Changjin Xu; Yusen Zu

doi:10.4134/BKMS.2015.52.4.1069

Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2015; 52(4): 1069-1076

Printed July 31, 2015

https://doi.org/10.4134/BKMS.2015.52.4.1069

Permanence of a two species delayed competitive model with stage structure and harvesting

Changjin Xu and Yusen Zu

Guizhou University of Finance and Economics, Henan University of Science and Technology

Abstract

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Abstract

In this paper, a two species competitive model with stage structure and harvesting is investigated. By using the differential inequality theory, some new sufficient conditions which ensure the permanence of the system are established. Our result supplements the main results of Song and Chen [Global asymptotic stability of a two species competitive system with stage structure and harvesting, Commun. Nonlinear Sci. Numer. Simul. 19 (2001), 81--87].

Keywords: competitive model, permanence, harvesting, stage structure, delay

MSC numbers: Primary 34K20, 34C25, 92D25