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Non-existence of non-constant positive steady states of two Holling type-II predator-prey systems: Strong interaction case
Peng, Rui Peng, Rui Shi, Junping Shi, Junping
Peng, Rui
Peng, Rui
Shi, Junping
Shi, Junping
Abstract
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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2009-01-01
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non_existence.pdf
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Mathematics
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10.1016/j.jde.2009.03.008