Non-existence of non-constant positive steady states of two Holling type-II predator-prey systems: Strong interaction case

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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. © 2009 Elsevier Inc. All rights reserved.

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Peng, R., & Shi, J. (2009). Non-existence of non-constant positive steady states of two Holling type-II predator-prey systems: Strong interaction case. Journal of Differential Equations, 247(3), 866–886. https://doi.org/10.1016/j.jde.2009.03.008

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