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Coexistence and partial extinction in a delay competitive system subject to impulsive harvesting and stocking

Coexistence and partial extinction in a delay competitive system subject to impulsive harvesting and stocking

Liu, Zhijun, Wu, Jianhua and Cheke, Robert A. (2010) Coexistence and partial extinction in a delay competitive system subject to impulsive harvesting and stocking. IMA Journal of Applied Mathematics, 75 (5). pp. 777-795. ISSN 0272-4960 (Print), 1464-3634 (Online) (doi:10.1093/imamat/hxq033)

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Abstract

The dynamic behaviour of a delay two-species competitive system controlled by means of impulsive harvesting and stocking controls is investigated. By using techniques derived from the theory of impulsive differential equations, sufficient conditions for both persistence and partial extinction are established, respectively. It was shown that the impulsive controls play important roles in shaping the dynamics. Numerical simulations are presented to substantiate the analytical results.

Item Type: Article
Uncontrolled Keywords: persistence and partial extinction, competitive system, impulse, delay
Subjects: Q Science > QA Mathematics
S Agriculture > S Agriculture (General)
Faculty / Department / Research Group: Faculty of Engineering & Science > Natural Resources Institute
Faculty of Engineering & Science > Natural Resources Institute > Agriculture, Health & Environment Department
Faculty of Engineering & Science
Related URLs:
Last Modified: 19 Aug 2015 14:38
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
URI: http://gala.gre.ac.uk/id/eprint/4037

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