The existence of periodic solutions for some models with delay

Nonlinear Analysis: Real World Applications

Volumn 3, Issue 4, 2002, Pages 567-581

  Wen, Xianzhang ^a   Wang, Zhicheng ^b  

^a HUNAN NORMAL UNIVERSITY   (China)

^b HUNAN UNIVERSITY   (China)

Author keywords

Hopf bifurcation; Periodic solutions; Predator; Prey

Indexed keywords

EID: 0036887641     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1468-1218(01)00049-9     Document Type: Article

References (6)

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2. 1-Degree and global Hopf bifurcation theory of functional-differential equations, J. Differential Equations 89 (1992) 277-298.
3. J.K. Hale, S.M.V. Lunel, Introduction to Functional Differential Equations, Springer, New York, 1993.
4. Shigui Ruan, Junjie Wei, Periodic solutions of planar systems with delays, Proc. Royal Soc. Edinburgh, Ser A., in press.
5. H.R. Thieme, Persistence under relaxed point-dissapativity (with application to an endemic model), SIAM J. Math. Anal. 24 (1993) 407-435.
6. J. Wu, Theory and Applications of Partial Functional Differential Equations, Springer, New York, 1996.