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Journal of Applied Nonlinear Dynamics 4(2) (2015) 181--195 | DOI:10.5890/JAND.2015.06.007

M. Sambath; K. Balachandran

Department of Mathematics, Bharathiar University, Coimbatore 641046, India

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Abstract

This paper presents a mathematical strategy for exploring the dynamical behavior of bio-chemical model in temporal morphogenesis which is a generalization of the model studied by Gierer-Meinhardt. We here study the spatially homogeneous and non-homogeneous periodic solutions through all parameters of the system are spatially homogeneous. In order to verify our theoretical results, some numerical simulations are also carried out.

Acknowledgments

The second author is thankful to the DRDO, New Delhi for financial support to carry out this work.

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