We investigate spreading properties of solutions of a large class of two-component reaction–
diffusion systems, including prey–predator systems as a special case. By spreading …

We consider Fisher-KPP equation with advection: ut= uxx− β u x+ f (u) for x∈(g (t), h (t)),
where g (t) and h (t) are two free boundaries satisfying Stefan conditions. This equation is …

This paper is concerned with the long time behavior of bounded solutions to a two-species
time-periodic Lotka–Volterra reaction–diffusion system with strong competition. It is well …

This paper is concerned with some spreading properties of monostable Lotka–Volterra two‐
species competition‐diffusion systems when the initial values are null or exponentially …

We consider semilinear parabolic equations of the form\begin {equation*} u_t= u_ {xx}+ f
(u),\quad x\in\mathbb {R}, t> 0,\end {equation*} where $ f $ a $ C^ 1$ function. Assuming that …

We consider nonlinear diffusion problems of the form ut= Δ u+ f (u) with Stefan type free
boundary conditions, where the nonlinear term f (u) is of monostable, bistable or combustion …

This paper is concerned with the propagation phenomena for a two-species Lotka–Volterra
strong competition system with nonlocal dispersal. We first establish the existence of …

We consider a radially symmetric free boundary problem with logistic nonlinear term. The
spatial environment is assumed to be asymptotically periodic at infinity in the radial direction …

We extend, to parabolic equations of the KPP type in periodic media, a result of Bramson
which asserts that, in the case of a spatially homogeneous reaction rate, the time lag …

In this paper, spreading properties of a competition-diffusion system of two equations are
studied. This system models the invasion of an empty favorable habitat, by two competing …