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Global attractor for a three‐species predator‐prey model with cross‐diffusion
Author(s) -
Guo Haojie,
Zheng Sining
Publication year - 2011
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.200910238
Subject(s) - attractor , mathematics , predation , diffusion , predator , term (time) , statistical physics , mathematical analysis , ecology , physics , thermodynamics , quantum mechanics , biology
This paper studies a three‐species predator‐prey model with cross‐diffusion. In a previous paper 11 of Pang and Wang, it was proved that the system admits global classical solutions if the exponents in cross diffusion term satisfy m , l ≥ 1. In the present paper, we continue considering the asymptotic behavior of the solutions, and obtain that the system possesses a global attractor in fact, if the cross diffusion exponents are even larger with m , l ≥ 2.
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