Title: Non-Turing pattern formation in a modified Leslie-Gower predator-prey system with Beddington-DeAngelis functional response

Authors: Dawit Melese; Sunita Gakkhar

Addresses: Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India. ' Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India

Abstract: In this paper a modified Leslie-Gower predator-prey system with Beddington-DeAngelis functional response under homogeneous Neumann boundary condition is considered. The prey and predator species are assumed to have equal diffusion coefficient. The possibility of non-Turing spatio-temporal patterns is explored. The ratio of two intrinsic growth rates is considered as a control parameter. Regular spatio-temporal oscillatory patterns as well as non-stationary irregular patterns are obtained. The numerical simulations reveal the dependence of the patterns on the choice of initial distribution and reaction parametric values.

Keywords: Leslie-Gower; Beddington-DeAngelis functional response; predator-prey systems; reaction diffusion equations; non-Turing patterns; pattern formation; numerical simulation.

DOI: 10.1504/IJMMNO.2012.047706

International Journal of Mathematical Modelling and Numerical Optimisation, 2012 Vol.3 No.3, pp.231 - 247

Received: 17 Oct 2011
Accepted: 28 Nov 2011
Published online: 30 Aug 2014 *

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