Tan, Ronghua, Liu, Zhijun and Cheke, Robert A. ORCID: https://orcid.org/0000-0002-7437-1934 (2012) Periodicity and stability in a single-species model governed by impulsive differential equation. Applied Mathematical Modelling, 36 (3). pp. 1085-1094. ISSN 0307-904X (doi:10.1016/j.apm.2011.07.056)

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Abstract

A periodic single-species model with periodic impulsive perturbations was investigated. By using Brouwer’s fixed point theorem and the Lyapunov function, sufficient conditions for the existence and global asymptotic stability of positive periodic solutions of the system were derived. Numerical simulations were presented to verify the feasibilities of our main results.

Item Type:	Article
Additional Information:	[1] First published online: 23 July 2011.
Uncontrolled Keywords:	impulsive single-species model, positive periodic solution Brouwer’s fixed point theorem, Lyapunov function
Subjects:	Q Science > QA Mathematics Q Science > QH Natural history
Faculty / School / Research Centre / Research Group:	Faculty of Engineering & Science > Natural Resources Institute Faculty of Engineering & Science > Natural Resources Institute > Agriculture, Health & Environment Department
Related URLs:	Publisher Organisation
Last Modified:	14 Jan 2013 09:43
URI:	http://gala.gre.ac.uk/id/eprint/6965

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