Multiple periodic solutions of a delayed predatorprey system with stage structure for the predator

Nonlinear Analysis: Real World Applications

Volumn 11, Issue 5, 2010, Pages 4109-4120

  Zhang, Zhengqiu ^a   Luo, Jianbo ^a  

^a HUNAN UNIVERSITY   (China)

Author keywords

Multiple positive periodic solutions; Predatorprey system; Stage structure; The continuation theorem of coincidence degree theory; Topological degree theory

Indexed keywords

CONTINUATION THEOREM OF COINCIDENCE DEGREE THEORY; POSITIVE PERIODIC SOLUTION; PREDATOR - PREY SYSTEM; STAGE STRUCTURE; TOPOLOGICAL DEGREE THEORY;

PROBLEM SOLVING; TOPOLOGY;

PERIODIC STRUCTURES;

EID: 77955517681     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2010.03.015     Document Type: Article

References (16)

1. B.S. Goh Global stability in two species interactions J. Math. Biol. 3 1976 313 318
2. A. Hastings Global stability of two species system J. Math. Biol. 5 1978 399 403
3. X.Z. He Stability and delays in a predator system J. Math. Anal. Appl. 198 1996 355 370
4. Yongkun Li Periodic solutions for delay LotkaVolterra competition systems J. Math. Anal. Appl. 246 2000 230 240
5. K. Gopalsamy, M.R.S. Kulenovic, and G. Ladas Environmental periodicity and time delays in a food-limited population model J. Math. Anal. Appl. 147 1990
6. B.G. Zhang, and K. Gopalsamy Global attractivity and oscillations in a periodic delay logistic equation J. Math. Anal. Appl. 150 1990 274 283 MR91h: 34120
7. Zhengqiu Zhang, and Xianwu Zeng On a periodic stage-structure model Appl. Math. Lett. 16 7 2003 1053 1061
8. Zhengqiu Zhang, Jun Wu, and Zhicheng Wang Periodic solution of nonautonomous stage-structured cooperative system Comput. Math. Appl. 47 2004 699 706
9. Wendi Wang A predatorprey system with stage-structure for predator Comput. Math. Appl. 33 8 1997 83 91
10. W.G. Aiello, and H.I. Freedman A time delay model of single-species growth stage-structure Math. Biosci. 101 1990 139 153
11. W.G. Aiello, H.I. Freedman, and J. Wu Analysis of a model representing stage-structured population growth with state dependent time delay SIAM J. Appl. Math. 52 1992 855 869
12. H.I. Freedman, and J. Wu Periodic solutions of single species models with periodic delay SIAM J. Math. Anal. 23 1992 689
13. Y. Kuang Delay Differential Equations with Applications in Population Dynamics 1993 Academic Press New York
14. Y. Li, and Y. Kuang Periodic solutions of periodic delay LotkaVolterra equations and systems J. Math. Anal. Appl. 255 2001 260
15. Z.Q. Zhang Periodic solutions of a predatorprey system with stage-structures for predator and prey J. Math. Anal. Appl. 302 2005 291 305
16. R.E. Gaines, and J.L. Mawhin Coincidence Degree and Nonlinear Differential Equations 1977 Springer Berlin