Biological invasion is an important area of research in mathematical biology and more so if it
concerns species which are vectors for diseases threatening the public health of large …

In this paper the minimal-speed determinacy of traveling wave fronts of a two-species
competition model of diffusive Lotka–Volterra type is investigated. First, a cooperative …

Nonlocal anisotropic dispersal with monostable nonlinearity Page 1 J. Differential Equations
244 (2008) 3080–3118 www.elsevier.com/locate/jde Nonlocal anisotropic dispersal with …

We investigate the inside structure of one-dimensional reaction–diffusion traveling fronts.
The reaction terms are of the monostable, bistable or ignition types. Assuming that the fronts …

A brief review of the development of ideas on extremal principles in the theory of heat and
mass transfer processes (including those in reacting media) is given. The extremal …

We uncover a seemingly previously unnoticed algebraic structure of a large class of reaction–
diffusion equations and use it to study the long time behavior of the solutions and their …

In this paper, we study the speed selection mechanism for traveling wave solutions to a two-
species Lotka–Volterra competition model. After transforming the partial differential …

We consider the accelerated propagation of solutions to equations with a nonlocal linear
dispersion on the real line and monostable nonlinearities (both local or nonlocal, however …

In this paper, we study the selection mechanism of the minimal wave speed for traveling
waves to an abstract monotone semiflow. A necessary and sufficient condition for the …

Many patterns emerge from homogeneous media that are destabilized by a spatial
modulation. Near such a bifurcation, Turing patterns are more or less uniformly distributed …