Positive steady states of the Holling–Tanner prey–predator model with diffusion

By Rui Peng, Mingxin Wang. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2005

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Non-existence of non-constant positive steady states of two Holling type-II predator–prey systems: Strong interaction case (2009, unknown): “Our main idea comes from [31,33].”
Effect of a protection zone in the diffusive Leslie predator-prey model (2009, background): “5), non-constant positive solutions may exist, and a detailed discussion can be found in [38].”
Global dynamics of a modified Leslie-Gower predator-prey model with Crowley-Martin functional responses (2013, background): “All these studies depend on the classical types of functional responses, such as Holling types [12, 13, 24, 33, 36], ratio-dependent type [2, 3, 7, 10, 11, 19, 26, 28, 42], Beddington-DeAngelis type [8, 10, 18, 22, 23], Hassell-Varley type [20, 41], Ivlev type [27, 34], Watt type [39, 40] and so on.”
Qualitative analysis of steady states to the Sel'kov model (2007, background): “(cid:2) Applying Lemmas 2.2 and 4.1, one easily obtains a useful result, whose stronger form was stated in [15] (see Lemma 3.2 there).”
On stationary patterns of a reaction–diffusion model with autocatalysis and saturation law (2008, unknown): “In what follows, we present two other simple but useful conclusions, whose proofs are given in [24] and [22], respectively.”
Traveling waves for a generalized Holling-Tanner predator-prey model (2017, background): “, [6,8,14,17,18,34,35] and the references therein for details.”