Global behaviors of a generalized periodic impulsive Logistic system with nonlinear density dependence
β Scribed by Xianning Liu; Lansun Chen
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 313 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1007-5704
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β¦ Synopsis
The global behaviors of a generalized periodic impulsive Logistic system with nonlinear density dependence are studied. Conditions for the existence and global attractivity of positive periodic solution are obtained via the method of comparison and Liapunov function. The corresponding results for the periodic impulsive Logistic system, which are dependent on solving the system, are extended.
π SIMILAR VOLUMES
In this paper, we consider a periodic predator-prey system with mutual interference and impulses. By constructing a suitable Lyapunov function and using the comparison theorem of impulsive differential equation, sufficient conditions which ensure the permanence and global attractivity of the system