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

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Local dynamics of a diffusive predator–prey model in spatially heterogeneous environment (2017, methodology): “We refer to [7, 23, 24, 25, 26] for surveys of recent development on the effects of dispersal and spatial heterogeneity on population dynamics; See [2, 11, 21, 18] for single species models, [9, 10, 12, 13, 14, 27] for predator-prey models, and [15, 16, 17, 19, 20] for competition models.”
Existence and non-existence of spatial patterns in a ratio-dependent predator–prey model (2015, unknown): “…criteria for the stability of homogeneous steady-state and derivation of appropriate conditions for the existence and/or non-existence of non-constant stationary states (Pang and Wang, 2003; Peng and Shi, 2009; Peng et al., 2008; Shi, 2002; Shi et al., 2010; Smoller, 1994; Wang et al., 2011).”
Bifurcation analysis of a diffusive ratio-dependent predator–prey model (2014, background): “However, most of such works in the literature deal with models with prey-dependent response functional, see [34,39,46,47] and references therein.”