Global behaviors of a generalized periodic impulsive Logistic system with nonlinear density dependence

Communications in Nonlinear Science and Numerical Simulation

Volumn 10, Issue 3, 2005, Pages 329-340

  Liu, Xianning ^a,b   Chen, Lansun ^b  

^a SOUTHWEST UNIVERSITY   (China)

^b INSTITUTE OF APPLIED MATHEMATICS   (China)

Author keywords

Global attractor; Impulse; Logistic system; Periodic solution

Indexed keywords

BEHAVIORAL RESEARCH; FUNCTIONS; GLOBAL OPTIMIZATION; NONLINEAR SYSTEMS; PROBABILITY DENSITY FUNCTION;

GLOBAL BEHAVIORS; LIAPUNOV FUNCTIONS; LOGISTIC SYSTEMS;

LOGISTICS;

MODELING;

EID: 5444221261     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2003.03.001     Document Type: Article

References (16)

1. Bainov D.D. Dishliev A.B. Sufficient conditions for absence of beating in systems of differential equations with impulses Appl. Anal. 18 1984 67-73
2. Hu S. Lakshmikantham V. Leela S. Impulsive differential systems and the pulse phenomena J. Math. Anal. Appl. 137 1989 605-612
3. Ballinger G. Liu X. Existence and uniqueness results for impulsive delay differential equations Dyn. Contin. Discrete Impulsive Syst. 5 1999 579-591
4. Liu X. Ballinger G. Existence and continuability of soulutions for differential equations with delays and stste-dependent impulses Nonlinear Anal. 51 2002 633-647
5. Bainov D.D. Dimitrova M.B. Dishliev A.B. Oscillation of the solutions of a class of impulsive differential equations with a deviating argument J. Appl. Math. Stochastic Anal. 11 1998 95-102
6. Bainov D.D. Dimitrova M.B. Petrov V. Oscillatory properties of the solutions of impulsive differential equations with several retarded arguments Georgian Math. J. 5 1998 201-212
7. Bainov D.D. Domshlak Y.I. Simeonov P.S. On the oscillatory properties of first order impulsive differential equations with a deviating argument Israel J. Math. 98 1998 167-187
8. Berezansky L. Braverman E. Oscillation of a linear delay impulsive differential equations Commun. Appl. Nonlinear Anal. 3 1996 61-77
9. Chen M.P. Yu J.S. Shen J.H. The persistence of nonoscillatory solutions of delay differential equations under impulsive perturbations Comput. Math. Appl. 27 1994 1-6
10. Domoshnitsky A. Drakhlin M. Nonoscillation of first order impulsive differential equations with delay J. Math. Anal. Appl. 106 1997 254-269
11. Funasaki E. Kot M. Invasion and chaos in a periodically pulsed mass-action chemostat Theor. Popul. Biol. 44 1993 203-224
12. Tang S. Chen L. Density-dependent birth rate, birth pulses and their population dynamic consequences J. Math. Biol. 44 2002 185-199
13. Bainov D.D. Simeonov P.S. Impulsive differential equations: periodic solutions and applications 1993 Longman England
14. Lakshmikantham V. Bainov D.D. Simeonov P.S. Theory of impulsive differential equations 1989 World Scientific Singapore
15. Smith H.L. Cooperative systems of differential equations with concave nonlinearities Nonlinear Anal. 10 1986 1037-1052
16. Barbalat I. Systems d'equations differentielles d'soscillations nonlineaires Rev. Roum. Math. Pure Appl. 4 1959 267-270