## Journal of Applied Mathematics

### An Impulsive Periodic Single-Species Logistic System with Diffusion

#### Abstract

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.

#### Article information

Source
J. Appl. Math., Volume 2013 (2013), Article ID 101238, 9 pages.

Dates
First available in Project Euclid: 14 March 2014

https://projecteuclid.org/euclid.jam/1394807972

Digital Object Identifier
doi:10.1155/2013/101238

Mathematical Reviews number (MathSciNet)
MR3056207

Zentralblatt MATH identifier
1266.37055

#### Citation

Yang, Chenxue; Ye, Mao; Liu, Zijian. An Impulsive Periodic Single-Species Logistic System with Diffusion. J. Appl. Math. 2013 (2013), Article ID 101238, 9 pages. doi:10.1155/2013/101238. https://projecteuclid.org/euclid.jam/1394807972

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