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<TITLE>Spatiotemporal pattern induced by self and cross-diffusion in a spatial Holling-Tanner model</TITLE>

<AUTHORS>

<AUTHOR>Ranjit Kumar Upadhyay, N. K. Thakur</AUTHOR>

</AUTHORS>

<JOURNAL>Computational Ecology and Software</JOURNAL>

<ISSN>2220-721X</ISSN>

<YEAR>2012</YEAR>

<VOLUME>2</VOLUME>

<PAGES>1-25</PAGES>

<DATE>03/2012</DATE>

<PUBLISHER>International Academy of Ecology and Environmental Sciences</PUBLISHER>

<KEYWORDS>

<KEYWORD>spatiotemporal pattern</KEYWORD>

<KEYWORD>diffusion</KEYWORD>

<KEYWORD>Holling-Tanner model</KEYWORD>

<KEYWORD>phytoplankton-zooplankton-fish interaction</KEYWORD>

</KEYWORDS>

<ABSTRACT>
In this paper, we have made an attempt to provide a unified framework to understand the complex spatiotemporal patterns induced by self and cross diffusion in a spatial Holling-Tanner model for
phytoplankton-zooplankton-fish interaction. The effect of critical wave length which can drive the system to instability is investigated. We have examined the criterion between two cross-diffusivity (constant and timevarying)
on the stability of the model system and for diffusive instability to occur. Based on these conditions and by performing a series of extensive simulations, we observed the irregular patterns, stationary strips, spots,
and strips-spots mixture patterns. Numerical simulation results reveal that the regular strip-spot mixture patterns prevail over the whole domain on increasing the values of self- diffusion coefficients of phytoplankton
and zooplankton and the dynamics of the system do not undergo any further changes.
</ABSTRACT>

<DOI>DOI 10.0000/issn-2220-721x-compuecol-2012-v2-0001</DOI>

<URL>http://www.iaees.org/publications/journals/ces/articles/2012-2(1)/spatiotemporal-pattern-induced-by-self-and-cross-diffusion.pdf</URL>

</RECORD>

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