Journal
APPLIED MATHEMATICAL MODELLING
Volume 38, Issue 17-18, Pages 4417-4427Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2014.02.022
Keywords
Ratio-dependent; Reaction-diffusion system; Turing instability; Pattern formation
Funding
- Special Assistance Programme (SAP-II) - University Grants Commission (UGC), New Delhi, India
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The present investigation deals with the necessary conditions for Turing instability with zero-flux boundary conditions that arise in a ratio-dependent predator-prey model involving the influence of logistic population growth in prey and intra-specific competition among predators described by a system of non-linear partial differential equations. The prime objective is to investigate the parametric space for which Turing spatial structure takes place and to perform extensive numerical simulation from both the mathematical and the biological points of view in order to examine the role of diffusion coefficients in Turing instability. Various spatiotemporal distributions of interacting species through Turing instability in two dimensional spatial domain are portrayed and analyzed at length in order to substantiate the applicability of the present model. (C) 2014 Elsevier Inc. All rights reserved.
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