Global dynamics of the periodic logistic system with periodic impulsive perturbations

作者: Xianning Liu , Lansun Chen

DOI: 10.1016/J.JMAA.2003.09.058

关键词: Applied mathematicsAttractorClassical mechanicsMathematicsPeriodic systemStability theoryDynamical systemDynamics (mechanics)Exponential stability

摘要: … In this paper, we will study the following logistic system with impulsive perturbations: … possibility of impulsive effects on the population. As we assumed, these impulsive perturbations are …

参考文章(16)
G. Ballinger, X. Liu, Permanence of population growth models with impulsive effects Mathematical and Computer Modelling. ,vol. 26, pp. 59- 72 ,(1997) , 10.1016/S0895-7177(97)00240-9
V Lakshmikantham, D D Bainov, P S Simeonov, Theory of Impulsive Differential Equations ,(1989)
Vladimir Igorevich Arnol'd, Ordinary Differential Equations ,(1973)
Devendra A. Kapadia, V. I. Arnold, Ordinary Differential Equations The Mathematical Gazette. ,vol. 79, pp. 228- 229 ,(1995) , 10.2307/3620107
Frederic Howell Miller, Partial Differential Equations ,(1941)
David K. Arrowsmith, C. M. Place, An Introduction to Dynamical Systems ,(1990)
Xiaodi Li, Martin Bohner, Chuan-Kui Wang, Impulsive Differential Equations: Periodic Solutions and Applications ,(1993)