Dynamical properties of a stage structured three-species model with intra-guild predation

Journal of Computational and Applied Mathematics

Volumn 201, Issue 2, 2007, Pages 327-338

  Yamaguchi, Masahiro ^a   Takeuchi, Yasuhiro ^a   Ma, Wanbiao ^b  

^a SHIZUOKA UNIVERSITY   (Japan)

^b UNIVERSITY OF SCIENCE AND TECHNOLOGY BEIJING   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BIODIVERSITY; CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL MODELS; THEOREM PROVING;

INTRA-GUILD PREDATION; PREDATOR; STAGE STRUCTURE; SURVIVAL RATE;

COMPUTATIONAL METHODS;

EID: 33846641250     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.12.033     Document Type: Article

References (10)

1. Bence J.R., and Nisbet R.M. Space-limited recruitment in open systems: the importance of time delays. Ecology 70 (1989) 1432-1441
2. Beretta E., and Kuang Y. Geometric stability switch criteria in delay differential systems with delay dependent parameters. SIAM J. Math. Anal. 33 5 (2002) 1144-1165
3. Diehl S., and Feissel M. Effect of enrichment on three-level food chains with omnivory. Amer. Naturalist 155 (2000) 200-218
4. Hale J.K., and Lunel S.M.V. Introduction to Functional Differential Equations (1993), Springer, New York/Berlin
5. Hofbauer J., and Sigmund K. Evolutionary Games and Population Dynamics (1998), Cambridge University Press, Cambridge
6. Holt R.D., and Polis G.A. A theoretical framework for intraguild predation. Amer. Naturalist 149 (1997) 745-764
7. McCann K., and Hastings A. Re-evaluating the omnivory-stability relationship in food webs. Proc. Roy. Soc. London B 264 (1997) 1249-1254
8. Polis G.A., Myers C.A., and Holt R.D. The ecology and evolution of intraguild predation. Annu. Rev. Ecology Systematics 20 (1989) 297-330
9. K. Tanabe, T. Namba, Intraguild Predation and Chaos, in press.
10. 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