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Existence of global solutions for a three‐species predator‐prey model with cross‐diffusion
Author(s) -
Pang P. Y. H.,
Wang M. X.
Publication year - 2008
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200510624
Subject(s) - predation , mathematics , predator , apex predator , dynamics (music) , diffusion , ecosystem , ecology , mathematical economics , biology , physics , thermodynamics , acoustics
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)