This review covers permanence, oscillation, local and global stability of solutions for
Nicholson's blowflies differential equation. Some generalizations, including the most recent …

Stability conditions for functional differential equations can be obtained using Lyapunov
functionals. Lyapunov Functionals and Stability of Stochastic Functional Differential …

We consider the delay differential equation (DDE) x˙(t)=− g (x (t))+ f (x (t− τ)) which shares
the same equilibria with the corresponding ordinary differential equation (ODE) x˙(t)=− g (x …

For the blood cell production model with a unimodal (hump) feedback functionwe review the
known results and investigate generalizations of this equation. Permanence, oscillation and …

This paper considers a class of delayed reaction–diffusion systems under the Neumann
boundary condition which arise in epidemiology and can describe the temporal and spatial …

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 …

Reaction diffusion equations with delayed nonlinear reaction terms are used as prototypes
to motivate an appropriate abstract formulation of dynamical systems with unimodal …

In this paper, we study the asymptotic behavior, the spreading speed, and the existence/
nonexistence of traveling waves of a class of nonmonotone discrete-time dynamical system …

Allee effects make populations more vulnerable to extinction, especially under severe
harvesting or predation. Using a delay-differential equation modeling the evolution of a …

In this paper, we study the global dynamics of a class of differential equations with temporal
delay and spatial non-locality in an unbounded domain. Adopting the compact open …