On the dynamical behavior of three species food web model

Chaos, Solitons and Fractals

Volumn 34, Issue 5, 2007, Pages 1636-1648

  Naji, R K ^a   Balasim, A T ^a  

^a UNIVERSITY OF BAGHDAD   (Iraq)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; LYAPUNOV FUNCTIONS; MATHEMATICAL MODELS; SOCIAL SCIENCES; SYSTEM STABILITY;

BIFURCATION DIAGRAMS; FOOD WEB MODEL; FUNCTIONAL RESPONSE; STABILITY ANALYSIS;

DYNAMICAL SYSTEMS;

EID: 34250185002     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.04.064     Document Type: Article

References (16)

1. Hastings A., and Powell T. Chaos in a three-species food chain. Ecology 72 (1991) 896-903
2. Klebanoff A., and Hastings A. Chaos in three species food chain. J Math Biol 32 (1993) 427-451
3. Letellier C., and Aziz-Alaoui M.A. Analysis of the dynamics of a realistic ecological model. Chaos, Solitons & Fractals 13 (2002) 95-107
4. Gakkhar S., and Naji R.K. Order and chaos in predator to prey ratio-dependent food chain. Chaos, Solitons & Fractals 18 (2003) 229-239
5. Gilpin M.E. Spiral chaos in a predator-prey model. Am Natural 113 (1979) 306-308
6. Schaffer W.M. Order and chaos in ecological systems. Ecology 66 (1985) 93-106
7. Klebanoff A., and Hastings A. Chaos in one predator two prey model: general result from bifurcation theory. Math Biosci 122 (1994) 221-223
8. Gakkhar S., and Naji R.K. Existence of chaos in two-prey, one-predator system. Chaos, Solitons & Fractals 17 (2003) 639-649
9. Gakkhar S., and Naji R.K. Order and chaos in a food web consisting of a predator and two independent preys. Commun Nonlinear Sci Numer Simul 10 (2005) 105-120
10. Arditi R., and Michalski J. Nonlinear food web models and their response to increased basal productivity. In: Polis G.A., and Winemillr K.O. (Eds). Food webs: integration of patterns and dynamics (1996), Chapman and Hall, New York 122-133
11. Freedman H.I., and Hongshun Q. Interactions leading to persistence in predator-prey system with group defense. Bull Math Biol 50 (1988) 517-530
12. Hale J.K. Ordinary differential equation (1969), Wiley-Interscience, New York
13. May R.M. Stability and complexity in model ecosystems (1973), Princeton University Press, Princeton, New Jersey
14. Hwang T.W. Global Analysis of the predator-prey system with Beddington-DeAngekis functional response. J Math Anal Appl 281 (2003) 395-401
15. Hwang T.W. Uniqueness of limit cycles of the predator-prey system with Beddington-DeAngekis functional response. J Math Anal Appl 290 (2004) 113-122
16. Freedman H.I., and Waltman P. persistence in models of three interacting predator prey populations. Math Biosci 68 (1984) 213-231