# lntegrability and singularity structure of predator-prey system

Sachdev, PL and Ramanan, Sharadha (1993) lntegrability 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 Painlevi 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 neigh-borhood of the singularity. The determinations thus obtained are compared with those following from the $\alpha$ method of Painlev’e. 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 Copyright of this article belongs to American Institute of Physics. Division of Physical & Mathematical Sciences > Mathematics 25 Aug 2008 19 Sep 2010 04:31 http://eprints.iisc.ernet.in/id/eprint/8586