The present paper deals with the wave train solutions of a generalized reaction-diffusion system. A comparative study of the nature of waves of the system in the presence of both self-diffusion and cross-diffusion has been performed. A two-species oscillatory model has also been considered as an example and analysed for its spiral wave solutions. © 2005 Taylor & Francis Group Ltd.

B MUKHOPADHYAY

R BHATTACHARYYA

University of Calcutta (informally known as Calcutta University or CU) is a collegiate public state university located in Kolkata, West Bengal, India.&nbsp;Within India it is recognized as a &quot;Five-Star University&quot; and accredited &quot;A&quot; Grade by National Assessment and Accreditation Council.

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The University of Calcutta has secured the Fifth position among the Universities of India in the prestigious &quot;Indian University Ranking 2019&quot; list, released by the NIRF of the Ministry of Human Resource Development, Government of India.

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It was established on 24 January 1857, and was one of the first institutions in Asia to be established as a multidisciplinary and Western-style university. Its alumni and faculty include several heads of state, heads of government, social reformers, prominent artists, only academy award winner and Dirac medal winner in India, many Fellows of the Royal Society and five Nobel laureates as of 2019 which is highest in South Asia.

University Of Calcutta

Influence of self- and cross-diffusion on wave train solutions of reaction-diffusion systems

International Journal of Systems Science

The present paper dealing with the nonlinear bifurcation analysis of two-species oscillatory system consists of three parts. The first part deals with Hopf-bifurcation and limit cycle analysis of the homogeneous system. The second consists of travelling wave train solution and its linear stability analysis of the system in presence of diffusion. The last deals with an oscillatory chemical system as an illustrative example. © 2003 Hindawi Publishing Corporation. All rights reserved.

Fulltext

International Journal of Mathematics and Mathematical Sciences

A Nonlinear two-species oscillatory system: Bifurcation and stability analysis

Shift of bifurcation point due to noise induced parameter

IMA Journal of Applied Mathematics

On the persistence of spatiotemporal oscillations generated by invasion

Physica D: Nonlinear Phenomena

Invading wave fronts and their oscillatory wakes are linked by a modulated travelling phase resetting wave

Applied Mathematics Letters

A comparison of two numerical methods for oscillatory reaction-diffusion systems

Journal	International Journal of Systems Science
Publisher	TAYLOR & FRANCIS LTD
ISSN	0020-7721