Bifurcation analysis for a regulated logistic growth model

Applied Mathematical Modelling

Volumn 31, Issue 9, 2007, Pages 1729-1738

  Song, Yongli ^a   Yuan, Sanling ^b  

^a TONGJI UNIVERSITY   (China)

^b UNIVERSITY OF SHANGHAI FOR SCIENCE AND TECHNOLOGY   (China)

Author keywords

Delay; Hopf bifurcations; Periodic solutions; Stability

Indexed keywords

COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; HOPF BIFURCATION; MATHEMATICAL MODELS;

CENTER MANIFOLD REDUCTION; NORMAL FORM THEORY; PERIODIC SOLUTIONS;

LOGISTICS;

COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; HOPF BIFURCATION; LOGISTICS; MATHEMATICAL MODELS;

EID: 34047106200     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2006.06.006     Document Type: Article

References (10)

1. Aizerman M.A., and Gantmacher F.R. Absolute Stability of Regulator Systems (1964), Holden Day, San Francisco
2. Gopalsamy K. Stability and Oscillations in Delay Differential Equations of Population Dynamics (1992), Kluwer Academic Publishers, Boston
3. Gopalsamy K., and Weng P. Feedback regulation of logistic growth. Int. J. Math. Math. Sci. 16 (1993) 177-192
4. Kuang Y. Delay Differential Equations with Applications in Population Dynamics (1993), Academic Press, Boston
5. Kuang Y. Global stability in delay differential systems without dominating instantaneous negative feedbacks. J. Differen. Equat. 19 (1995) 503-532
6. Lalli B.S., Yu J.S., and Chen M.-P. Feedback regulation of logistic growth. Dyn. Syst. Appl. 5 (1996) 117-124
7. So J.W.-H., and Yu J.S. Global attractivity for a population model with time delay. Proc. Amer. Math. Soc. 123 (1995) 2687-2694
8. Tang X., and Zou X. A 3/2 stability result for a regulated logistic growth model. Disc. Conti. Dyn. Syst. Ser. B 2 (2002) 265-278
9. Hale J., and Lunel S. Introduction to Functional Differential Equations (1993), Springer-Verlag, New York
10. Hassard B., Kazarinoff D., and Wan Y. Theory and Applications of Hopf Bifurcation (1981), Cambridge University Press, Cambridge