Dynamics of Leslie-Gower type generalist predator in a tri-trophic food web system

0421878 - BC 2014 RIV NL eng J - Článek v odborném periodiku
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
Grant CEP: GA MŠMT(CZ) EE2.3.30.0032
Institucionální podpora: RVO:60077344
Klíčová slova: Leslie-Gower model * hopf-bifurcation * periodic orbits
Kód oboru RIV: EH - Ekologie - společenstva
Impakt faktor: 2.569, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0228823