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Dynamics of Leslie-Gower type generalist predator in a tri-trophic food web system
- 1.0421878 - BC 2014 RIV NL eng J - Journal Article
Priyadarshi, Anupam - Gakkhar, S.
Dynamics of Leslie-Gower type generalist predator in a tri-trophic food web system.
Communications in Nonlinear Science and Numerical Simulation. Roč. 18, č. 11 (2013), s. 3202-3218. ISSN 1007-5704. E-ISSN 1878-7274
R&D Projects: GA MŠMT(CZ) EE2.3.30.0032
Institutional support: RVO:60077344
Keywords : Leslie-Gower model * hopf-bifurcation * periodic orbits
Subject RIV: EH - Ecology, Behaviour
Impact factor: 2.569, year: 2013
http://www.sciencedirect.com/science/article/pii/S1007570413001032#
In this paper, the dynamics of a tri-trophic food web system consists of Leslie-Gower type generalist predator has been explored. The system is bounded under certain conditions. The Hopf-bifurcation has been established in the phase planes. The bifurcation diagrams exhibit coexistence of all three species in the form of periodic/chaotic solutions. The ''snail-shell'' chaotic attractor has very high Lyapunov exponents. The coexistence in the form of stable equilibrium is also possible for lower values of parameters. The two-parameter bifurcation diagrams are drawn for critical parameters. (C) 2013 Elsevier B. V. All rights reserved.
Permanent Link: http://hdl.handle.net/11104/0228823
Number of the records: 1