Permanence of variable coefficients predator-prey system with stage structure

Applied Mathematics and Computation

Volumn 180, Issue 2, 2006, Pages 594-598

  Fengying, Wei ^a   Ke, Wang ^b  

^a FUZHOU UNIVERSITY   (China)

^b HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Finite delay; Permanence; Stage structure

Indexed keywords

THEOREM PROVING;

FINITE DELAY; PERMANENCE; PREDATOR-PREY MODEL; STAGE STRUCTURE;

MATHEMATICAL MODELS;

EID: 33748952118     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.12.062     Document Type: Article

References (14)

1. Aiello W.G., and Freedman H.I. A time delay model of single-species growth with stage structure. Math. Biosci. 101 (1990) 139-153
2. Xu R., Chaplain M.A.J., and Davidson F.A. Global stability of a Lotka-Volterra type predator-prey model with stage structure and time delay. Appl. Math. Comput. 159 (2004) 863-880
3. Aiello W.G., Freedman H.I., and Wu J. Analysis of a model representing stage-structured population growth with state-dependent time delay. SIAM J. Appl. Math. 52 (1992) 855-869
4. Freedman H.I., and Wu J. Persistence and global asymptotic stability of single species dispersal models with stage structure. Quart. Appl. Math. 49 (1991) 351-371
5. Liu S., Chen L., and Liu Z. Extinction and permanence in nonautonomous competitive system with stage structure. J. Math. Anal. Appl. 274 (2002) 667-684
6. Liu S., Chen L., and Agarwal R. Recent progress on stage-structured population dynamics. Math. Comput. Model. 36 (2002) 1319-1360
7. Kuang Y., and So J.W.H. Analysis of a delayed two-stage population with space-limited recruitment. SIAM J. Appl. Math. 55 (1995) 1675-1695
8. Song X., and Chen L. Optimal harvesting and stability for a two-species competitive system with stage structure. Math. Biosci. 170 (2001) 173-186
9. Wang W., and Chen L. A predator-prey system with stage structure for predator. Comput. Math. Appl. 33 (1997) 83-91
10. Magnusson K.G. Destabilizing effect of cannibalism on a structured predator-prey system. Math. Biosci. 155 (1999) 61-75
11. Wang W., Mulone G., Salemi F., and Salone V. Permanence and stability of a stage-structured predator-prey model. J. Math. Anal. Appl. 262 (2001) 499-528
12. Al-Omari J.F.M., and Gourley S.A. Stability and travelling fronts in Lotka-Volterra competition models with stage structure. SIAM Appl. Math. 63 (2003) 2063-2086
13. He X. Stability and delays in a predator-prey system. J. Math. Anal. Appl. 198 (1996) 355-370
14. Beretta E., and Kuang Y. Geometric stability switch criteria in delay differential systems with delay dependent parameters. SIAM J. Math. Anal. 33 (2002) 1144-1165