Seasonally perturbed prey-predator system with predator-dependent functional response

Chaos, Solitons and Fractals

Volumn 18, Issue 5, 2003, Pages 1075-1083

  Gakkhar, Sunita ^a   Naji, Raid Kamel ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY ROORKEE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; FUNCTIONS; PHASE TRANSITIONS; TIME VARYING SYSTEMS;

PREY-PREDATOR MODEL;

PERTURBATION TECHNIQUES;

EID: 0038577050     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(03)00075-4     Document Type: Article

References (9)

1. Arditi R., Ginzbing L.R. Coupling in predator-prey dynamics: ratio dependence. J. Theor. Biol. 139:1989;311-326.
2. Hassell M.P., Varley G.C. New inductive population model for insect parasites and it's bearing on biological control. Nature. 223:1969;1133-1137.
3. Beddington J.R. Mutual interference between parasites or predators and its effect on searching efficiency. J. Anim. Ecol. 44:1975;331-340.
4. DeAngelis D.L., Goldstein R.A., O'Neill R.V. A model for trophic interactions. Ecology. 56:1975;881-892.
5. Sabin G.C.W., Summer D. Chaos in a periodically forced predator-prey ecosystem model. Math. Biosci. 113:1993;91-113.
6. Rinaldi S., Muratori S., Kuznetsov Yu.A. Multiple attractors, catastrophes and chaos in seasonally perturbed predator-prey communities. Bull. Math. Biol. 55:1993;15-35.
7. Ives A.R., Gross K., Jansen V.A.A. Periodic mortality events in predator-prey systems. Ecology. 81(12):2000;3330-3340.
8. Upadhyay R.K., Rai V., Iyengar S.R.K. How do ecosystems respond to external perturbations? Chaos, Solitons & Fractals. 11:2000;1963-1982.
9. Gakkhar S., Naji R.K. Chaos in seasonally perturbed ratio-dependent prey-predator system. Chaos, Solitons & Fractals. 15:2003;107-118.