Integrability and singularity structure of predator‐prey system

Sachdev, PL and Ramanan, Sharadha (1993) Integrability and singularity structure of predator‐prey system. In: Journal of Mathematical Physics, 34 (9). pp. 4025-4044.

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Abstract

The ‘‘extended’’ ARS (Ablowitz, Ramani, and Segur) algorithm is introduced to characterize a dynamical system as Painlevé or otherwise; to that end, it is required that the formal series—the Laurent series, logarithmic, algebraic psi series about a movable singularity—are shown to converge in the deleted neighborhood of the singularity. The determinations thus obtained are compared with those following from the α method of Painlevé. An attempt is made to relate the structure of solutions about a movable singularity with that of first integrals (when they exist). All these ideas are illustrated by a comprehensive analysis of the general two‐dimensional predator‐prey system.

Item Type:	Journal Article
Publication:	Journal of Mathematical Physics
Publisher:	American Institute of Physics
Additional Information:	Copyright of this article belongs to American Institute of Physics.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	10 Feb 2011 09:56
Last Modified:	10 Feb 2011 09:56
URI:	http://eprints.iisc.ac.in/id/eprint/35509

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