Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 247, Issue 3, Pages 866-886Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2009.03.008
Keywords
Predator-prey model; Holling type-II functional response; Reaction-diffusion; Positive steady state; Non-existence; Global bifurcation
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Funding
- National Natural Science Foundation of China [10801090, 10871185, 10726016, 10671049]
- Longjiang Scholar grant
- Summer Research grant in College of William and Mary
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We prove the non-existence of non-constant positive steady state solutions of two reaction-diffusion predator-prey models with Holling type-II functional response when the interaction between the predator and the prey is strong. The result implies that the global bifurcating branches of steady state solutions are bounded loops. (C) 2009 Elsevier Inc. All rights reserved.
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