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

We consider scalar delay differential equations x'(t)=-δx(t)+f(t,x_t) *) with nonlinear f
satisfying a sort of negative feedback condition combined with a boundedness condition …

Continuous time deterministic epidemic models are traditionally formulated as systems of
ordinary differential equations for the numbers of individuals in various disease states, with …

We prove a criterion for the global stability of the positive equilibrium in discrete-time single-
species population models of the form xn+ 1= xnF (xn). This allows us to demonstrate …

One of the main challenges in ecology is to determine the cause of population fluctuations.
Both theoretical and empirical studies suggest that delayed density dependence instigates …

For a family of single-species delayed population models, a new global stability condition is
found. This condition is sharp and can be applied in both monotone and nonmonotone …

We address the global stability issue for some discrete population models with delayed-
density dependence. Applying a new approach based on the concept of the generalized …

In this paper we develop a new method to establish the existence of traveling wavefronts for
a food-limited population model with nonmonotone delayed nonlocal effects. Our approach …

We gain further insight into the use of the Schwarzian derivative to obtain new results for a
family of functional differential equations including the famous Wright's equation and the …

For an equation x′(t)=− x (t)+ ζf (x (t− h)), x∈ R, f′(0)=− 1, ζ> 0, with C3-nonlinearity f
which has a negative Schwarzian derivative and satisfies xf (x)< 0 for x≠ 0, we prove the …