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Study of stability, bifurcation and pattern formation in a non-linear diffusive prey-predator system
S DAS, D BASU, C G CHAKRABARTI
Published in -
2014
Volume: 10
   
Issue: 2
Pages: 233 - 248
Abstract
In the paper we have presented a critical analysis of a non-linear prey-predator system of Holling-type II. We have first investigated the criteria of stability of the steady - state, the bifurcation and the existence of a limit-cycle and its stability for the homogeneous state of the system. We have then studied the criteria of diffusion-driven instability and the shift of bifurcation point due to the influence of the diffusion. Finally, we have made a detailed non-linear analysis of spatial pattern formation arising from the bifurcation of the system beyond the onset of instability. © Research India Publications.
About the journal
JournalGlobal Journal of Pure and Applied Mathematics
Publisher-
ISSN0973-1768