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Existence of global solutions for a three‐species predator‐prey model with cross‐diffusion
Authors:P. Y. H. Pang  M. X. Wang
Affiliation:Department of Mathematics, Southeast University, Nanjing 210096, P. R. China
Abstract:In this short note, we study a strongly coupled system of partial differential equations which models the dynamics of a two‐predator‐one‐prey ecosystem in which the prey exercises defense switching and the predators collaboratively take advantage of the prey's strategy. We prove the existence of global strong solutions. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Keywords:Predator‐prey model  cross diffusion  global existence
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