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First, we study the rates of convergence in spatial variables.
GIS is used to quantify potentially important spatial variables.
Competition for resource is local in spatial variables, but nonlocal in the trait variable.
More precisely, we consider initial problems which are local with respect to spatial variables.
(2) The function ψ is decreasing as a radial function in the spatial variables.
The spatial variables in the governing equations are eliminated by the Galerkin procedure.
The relation between transformed (frequency and radial wavenumber) and physical (temporal and spatial) variables is emphasized.
Spatial variables that were suspected to derive landscape change were prepared from various sources.
Observe that, different from Orlicz functions, Musielak-Orlicz functions may also vary in the spatial variables.
The function ψ is decreasing as a radial function in the spatial variables.
It is also shown the propagation of the almost periodicity in spatial variables.
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