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Non-existence of non-constant positive steady states of two Holling type-II predator-prey systems: Strong interaction case |
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| Authors: | Rui Peng Junping Shi |
| Institution: | a Institute of Nonlinear Complex Systems, College of Science, China Three Gorges University, Yichang City 443002, Hubei Province, PR China b School of Sciences and Technology, University of New England, Armidale, NSW, 2351, Australia c Department of Mathematics, College of William and Mary, Williamsburg, VA 23187-8795, USA d School of Mathematics, Harbin Normal University, Harbin 150080, Helongjiang, PR China |
| 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. |
| Keywords: | 35J55 35K57 92C15 92C40 |
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