Almost-periodic solutions of a delay population equation with feedback control

Nonlinear Analysis: Real World Applications

Volumn 7, Issue 4, 2006, Pages 559-571

  Xiaoxing, Chen ^a   Fengde, Chen ^a  

^a FUZHOU UNIVERSITY   (China)

Author keywords

Almost periodic solution; Feedback control; Lyapunov Razumikhin methods; Population equation

Indexed keywords

FEEDBACK CONTROL; LYAPUNOV METHODS; POPULATION STATISTICS; PROBLEM SOLVING;

ALMOST-PERIODIC SOLUTION; LYAPUNOV-RAZUMIKHIN METHODS; POPULATION EQUATION;

NONLINEAR EQUATIONS;

EID: 33646164903     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2005.03.017     Document Type: Article

References (15)

1. Chen F.D. Positive periodic solutions of neutral Lotka-Volterra system with feedback control. Appl. Math. Comput. 162 3 (2005) 1279-1302
2. Chen F.D., and Lin S.J. Periodicity in a Logistic type system with several delays. Comput. Math. Appl. 48 1-2 (2004) 35-44
3. Chen F.D., Lin F.X., and Chen X.X. Sufficient conditions for the existence of positive periodic solutions of a class of neutral delay models with feedback control. Appl. Math. Comput. 158 1 (2004) 45-68
4. Chen F.D., Sun D.X., and Lin F.X. Periodicity in a food-limited population model with toxicants and state dependent delays. J. Math. Anal. Appl. 288 1 (2003) 132-142
5. Fink A.M. Almost periodic differential equations. Lecture Notes on Mathematics vol. 377 (1974), Springer, Berlin
6. Gopalsamy K. Stability and oscillation in delay differential equations of population dynamics. Mathematic and its Applications vol. 74 (1992), Kluwer Academic Publishers Group, Dordrecht
7. Gopalsamy K., and Weng P.X. Feedback regulation of Logistic growth. Internat. J. Math. Sci. 16 1 (1993) 177-192
8. He C.Y. Almost Periodic Differential Equations (1992), Higher Education Publishing House, Beijing (in Chinese)
9. Seifert G. On a delay-differential equation for single specie population variation. Nonlinear Anal. TMA 11 (1987) 1051-1059
10. Weng P.X. Global attractivity in a periodic competition system with feedback controls. Acta Appl. Math. 12 (1996) 11-21 (in Chinese)
11. Weng P.X. Existence and global stability of positive periodic solution of periodic integro-differential systems with feedback controls. Comput. Math. Appl. 40 (2000) 747-759
12. Xiao Y.N., Tang S.Y., and Chen J.F. Permanence and periodic solution in a competition system with feedback controls. Math. Comput. Modelling 27 6 (1998) 33-37
13. Yang F., and Jiang D.Q. Existence and global attractivity of positive periodic solution of a logistic growth system with feedback control and deviating arguments. Ann. Differential Equations 17 4 (2001) 337-384
14. Yoshizawa T. Stability theory and the existence of periodic solutions and almost periodic solutions. Applied Mathematical Sciences vol. 14 (1975), Springer, Berlin
15. Yuan R. The existence of almost periodic solution of a population equation with delay. Appl. Anal. 61 (1999) 45-52