The spatial patterns through diffusion-driven instability in a predator–prey model

Lakshmi Narayan Guin, Mainul Haque, Prashanta Kumar Mandal

Research output: Contribution to journalArticlepeer-review


Studies on stability mechanism and bifurcation analysis of a system of interacting populations by the combined effect of self and cross-diffusion become an important issue in ecology. In the current investigation, we derive the conditions for existence and stability properties of a predator–prey model under the influence of self and cross-diffusion. Numerical simulations have been carried out in order to show the significant role of self and cross-diffusion coefficients and other important parameters of the system. Various contour pictures of spatial patterns through Turing instability are portrayed and analysed in order to substantiate the applicability of the present model. Finally, the paper ends with an extended discussion of biological implications of our findings.
Original languageEnglish
Pages (from-to)1825-1841
JournalJournal of Applied Mathematical Modelling
Issue number5
Early online date19 Jul 2011
Publication statusPublished - 1 May 2012


Dive into the research topics of 'The spatial patterns through diffusion-driven instability in a predator–prey model'. Together they form a unique fingerprint.

Cite this