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math.AP2020
When the Allee threshold is an evolutionary trait: persistence vs. extinction
Matthieu Alfaro, Léo Girardin, Francois Hamel +1
We consider a nonlocal parabolic equation describing the dynamics of a population structured by a spatial position and a phenotypic trait, submitted to dispersion , mutations and g…
math.AP2020
Blow-up phenomena for positive solutions of semilinear diffusion equations in a half-space: the influence of the dispersion kernel
Matthieu Alfaro, Otared Kavian
We consider the semilinear diffusion equation t u = Au + |u| u in the half-space R N + := R N --1 x (0, +), where A is a linear diffusion operator, which may…