In this paper, we derive the equation for a single species population with two age classes
and a fixed maturation period living in a spatially unbounded environment. We show that if …

Time delays of one type or another have been incorporated into biological models to
represent resource regeneration times, maturation periods, feeding times, reaction times …

This paper deals with the existence of travelling wave fronts in reaction–diffusion systems
with spatio-temporal delays. Our approach is to use monotone iterations and a nonstandard …

We present a short survey on the biological modeling, dynamics analysis, and numerical
simulation of nonlocal spatial effects, induced by time delays, in diffusion models for a single …

This paper considers the nonlinear stability oftravelling wavefronts of a time-delayed
diffusive Nicholson blowflies equation. We prove that, under a weighted L2 norm, ifa solution …

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 is concerned with analysis of the global behavior for a type of reaction-diffusion
system incorporating the pathogens' incubation period, which describes the infection of …

The dynamics of a Nicholson's blowflies equation with a finite delay are investigated. We
prove that a sequence of Hopf bifurcations occur at the positive equilibrium as the delay …

We develop a new approach to obtain the existence of travelling wave solutions for reaction–
diffusion equations with delayed non-local response. The approach is based on an abstract …