If we had to formulate in one sentence what this book is about, it might be “How partial
differential equations can help to understand heat explosion, tumor growth or evolution of …

This paper is concerned with the existence, uniqueness and globally asymptotic stability of
traveling wave fronts in the quasi-monotone reaction advection diffusion equations with …

In this paper, we study the existence, uniqueness and stability of traveling wave fronts in the
following nonlocal reaction–diffusion equation with delay ∂ u\left (x, t\right) ∂ t= d Δ u\left (x …

In this paper, we study a class of time-delayed reaction–diffusion equation with local
nonlinearity for the birth rate. For all wavefronts with the speed c> c∗, where c∗> 0 is the …

For a class of nonlocal time-delayed reaction-diffusion equations, we prove that all
noncritical wavefronts are globally exponentially stable, and critical wavefronts are globally …

This paper represents a literature review on traveling waves described by delayed
reactiondiffusion (RD, for short) equations. It begins with the presentation of different types of …

This is the second part of a series of study on the stability of traveling wavefronts of reaction–
diffusion equations with time delays. In this paper we will consider a nonlocal time-delayed …

A class of integral equations without monotonicity is investigated. It is shown that there is a
spreading speed c∗> 0 for such an integral equation, and that its limiting integral equation …

This paper is concerned with a lattice dynamical system modeling the evolution of
susceptible and infective individuals at discrete niches. We prove the existence of traveling …

We construct new types of entire solutions for a class of monostable delayed lattice
differential equations with global interaction by mixing a heteroclinic orbit of the spatially …