The Boltzmann–Gibbs (BG) statistical mechanics constitutes one of the pillars of
contemporary theoretical physics. It is constructed upon the other pillars—classical …

Emigration is a fundamental process affecting species' local, regional, and large-scale
dynamics. The paradigmatic view in ecology is that emigration is density independent (DIE) …

The standard diffusive spreading, characterized by a Gaussian distribution with mean
square displacement that grows linearly with time, can break down, for instance, under the …

Population survival depends on a large set of factors and on how they are distributed in
space. Due to landscape heterogeneity, species can occupy particular regions that provide …

This paper is concerned with time-delayed reaction–diffusion equations with degenerate
diffusion. When the term for birth rate is a nonlocal integral with a heat kernel, the family of …

We consider a generalization of the FKPP equation for the evolution of the spatial density of
a single-species population where all the terms are nonlocal. That is, the spatial extension of …

We identify a mechanism for biological spatial pattern formation arising when the signals
that mediate interactions between individuals in a population have pulsed character. Our …

We investigate a nonlocal generalization of the Fisher–KPP equation, which incorporates
logistic growth and diffusion, for a single species population in a viable patch (refuge). In this …

Nonlinear Fokker–Planck equations (NLFPEs) constitute useful effective descriptions of
some interacting many-body systems. Important instances of these nonlinear evolution …

Ecologists have long investigated how demographic and movement parameters determine
the spatial distribution and critical habitat size of a population. However, most models …