The non-local Fisher–KPP equation: travelling waves and steady states

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Travelling Waves in a Nonlocal Reaction-Diffusion Equation as a Model for a Population Structured by a Space Variable and a Phenotypic Trait (2012, methodology): “The travelling wave analysis has been done either using a formal Hamilton-Jacobi approach [15] for a model close to (1), or for a population structured by one variable only, that is n = n(t, x), submitted to a nonlocal competition [9].”
Criteria for the Existence and Lower Bounds of Principal Eigenvalues of Time Periodic Nonlocal Dispersal Operators and Applications (2012, background): “The reader is also referred to [1,3,34], etc.”
Stability and Hopf bifurcation in a diffusive logistic population model with nonlocal delay effect (2012, background): “2) have been considered in many papers, for example, [1,2,9,17,39] and the references therein.”
Super-linear spreading in local and non-local cane toads equations (2015, background): “We also note that in general non-local Fisher-KPP type equations the stability of the steady state u ≡ 1 may fail [5, 20, 21].”