Periodic solutions of a delayed predator-prey model with stage structure for predator

Journal of Applied Mathematics

Volumn 2004, Issue 3, 2004, Pages 255-270

  Xu, Rui ^a   Chaplain, M A J ^a   Davidson, F A ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 20444416785     PISSN: 1110757X     EISSN: None     Source Type: Journal    
DOI: 10.1155/S1110757X04308090     Document Type: Article

References (12)

1. W. G. Aiello and H. I. Freedman, A time-delay model of single-species growth with stage structure, Math. Biosci. 101 (1990), no. 2, 139-153.
2. 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), no. 3, 855-869.
3. J. M. Cushing, Periodic time-dependent predator-prey systems, SIAM J. Appl. Math. 32 (1977), no. 1, 82-95.
4. R. E. Gaines and J. L. Mawhin, Coincidence Degree, and Nonlinear Differential Equations, Springer-Verlag, Berlin, 1977.
5. B. S. Goh, Global stability in two species interactions, J. Math. Biol. 3 (1976), no. 3-4, 313-318.
6. K. Gopalsamy, Stability and Oscillations in Delay Differential Equations of Population Dynamics, Mathematics and Its Applications, vol. 74, Kluwer Academic Publishers Group, Dordrecht, 1992.
7. J. Hale, Theory of Functional Differential Equations, Springer-Verlag, New York, 1977.
8. A. Hastings, Global stability of two-species systems, J. Math. Biol. 5 (1977/78), no. 4, 399-403.
9. X. He, Stability and delays in a predator-prey system, J. Math. Anal. Appl. 198 (1996), no. 2, 355-370.
10. Z. Teng and L. Chen, Positive periodic solutions of periodic Kolmogorov type systems with delays, Acta Math. Appl. Sinica 22 (1999), no. 3, 446-456.
11. W. Wang and L. Chen, A predator-prey system with stage-structure for predator, Comput. Math. Appl. 33 (1997), no. 8, 83-91.
12. W. Wang and Z. Ma, Harmless delays for uniform persistence, J. Math. Anal. Appl. 158 (1991), no. 1, 256-268.