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Abstract for MSRI Preprint 1996-044

S-Shaped global bifurcation curve of positive solutions to a prey-predator model

Yihong Du and Yuan Lou

The main purpose of this paper is to fully understand the structure of the set of all positive solutions to the prey-predator model with Holling-Tanner type interaction term. We confirm that the solutions curve can be S-Shaped as suggested by a number of previous local and numerical results.