Integrability and singularity structure of predator-prey system

Sachdev, P. L. ; Ramanan, Sharadha (1993) Integrability and singularity structure of predator-prey system Journal of Mathematical Physics, 34 (9). pp. 4025-4044. ISSN 0022-2488

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Official URL: http://jmp.aip.org/resource/1/jmapaq/v34/i9/p4025_...

Related URL: http://dx.doi.org/10.1063/1.530023

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:Article
Source:Copyright of this article belongs to American Institute of Physics.
ID Code:33820
Deposited On:30 Mar 2011 13:36
Last Modified:30 Mar 2011 13:36

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