Open Access
2013 An Impulsive Periodic Single-Species Logistic System with Diffusion
Chenxue Yang, Mao Ye, Zijian Liu
J. Appl. Math. 2013: 1-9 (2013). DOI: 10.1155/2013/101238


We study a single-species periodic logistic type dispersal system in a patchy environment with impulses. On the basis of inequality estimation technique, sufficient conditions of integrable form for the permanence and extinction of the system are obtained. By constructing an appropriate Lyapunov function, conditions for the existence of a unique globally attractively positive periodic solution are also established. Numerical examples are shown to verify the validity of our results and to further discuss the model.


Download Citation

Chenxue Yang. Mao Ye. Zijian Liu. "An Impulsive Periodic Single-Species Logistic System with Diffusion." J. Appl. Math. 2013 1 - 9, 2013.


Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1266.37055
MathSciNet: MR3056207
Digital Object Identifier: 10.1155/2013/101238

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
Back to Top