Periodic solutions of a predator-prey system with stage-structures for predator and prey

Journal of Mathematical Analysis and Applications

Volumn 302, Issue 2, 2005, Pages 291-305

  Zhang, Zhengqiu ^a  

^a HUNAN UNIVERSITY   (China)

Author keywords

Continuation theorem of coincidence degree; Positive periodic solution; Predator prey system; Stage structures; Topological degree theory

Indexed keywords

EID: 10644274227     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2003.11.033     Document Type: Article

References (12)

1. Goh B.S. Global stability in two species interactions J. Math. Biol. 3 1976 313-318
2. Hastings A. Global stability of two species system J. Math. Biol. 5 1978 399-403
3. He X.Z. Stability and delays in a predator system J. Math. Anal. Appl. 198 1996 355-370
4. Aiello W.G. Freedman H.I. A time delay model of single-species growth with stage structure Math. Biosci. 101 1990 139-153
5. Aiello W.G. Freedman H.I. Wu J. Analysis of a model representing stage-structured population growth with state-dependent time delay SIAM J. Appl. Math. 52 1992 855-869
6. Gaines R.E. Mawhin J.L. Coincidence Degree and Non-Linear Differential Equations 1977 Springer Berlin
7. Li Y. Periodic solution of a neutral delay equation J. Math. Anal. Appl. 214 1997 11-21
8. Li Y. Periodic solutions of a periodic delay predator-prey system Proc. Amer. Math. Soc. 127 1999 1331-1335
9. Li Y. On a periodic neutral delay Lotka-Volterra system Nonlinear Anal. 39 2000 767-778
10. Zhang Z.Q. Wang Z.C. Periodic solution for a two-species nonautonomous competition Lotka-Volterra patch system with time delay J. Math. Anal. Appl. 265 2002 38-48
11. Zhang Z.Q. Wang Z.C. Periodic solutions for nonautonomous predator-prey system with diffusion and time delay Hiroshima Math. J. 31 2001 371-381
12. Zhang Z.Q. Wang Z.C. The existence of periodic solution of a two-patches predator-prey dispersion delay models with functional response J. Korean Math. Soc. 40 2003 869-881