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Periodicity and stability in a single-species model governed by impulsive differential equation |
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| Authors: | Ronghua Tan Robert A. Cheke |
| Affiliation: | a Department of Mathematics, Hubei University for Nationalities Enshi, Hubei 445000, PR China b Natural Resources Institute, University of Greenwich at Medway, Central Avenue, Chatham Maritime, Chatham, Kent ME4 4TB, UK |
| 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. |
| Keywords: | Impulsive single-species model Positive periodic solution Brouwer&rsquo s fixed point theorem Lyapunov function |
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