Does movement toward better environments always benefit a population

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Some Challenging Mathematical Problems in Evolution of Dispersal and Population Dynamics (2008, background): “In diffusion–advection models for a single population in a spatially varying but temporally constant environment, Belgacem and Cosner [4] and Cosner and Lou [ 31 ] showed that conditional dispersal involving both diffusion and directed movement up resource gradients can sometimes (but not always) ma”
Approximating the ideal free distribution via reaction–diffusion–advection equations (2008, methodology): “Models with ordinary diusion but incorporating a tendency to move up the gradient of underlying environmental quality were considered in [5, 10, 11, 12, 14 ].”
Reaction-diffusion-advection models for the effects and evolution of dispersal (2013, background): “In [25], among other things, it is proved that”
Hopf bifurcation in a delayed reaction-diffusion-advection population model (2017, background): “Moreover, we comment that the relation between λ∗ and α was also investigated in [12]: if ∫”