Asymptotic periodicity of a food-limited diffusive population model with time-delay

On Oscillation of a Food-limited Population Model with Time Delay

is known as Hutchinson’s equation, if r and K are positive constants and h(t) = t− τ for a positive constant τ. Hutchinson’s equation has been investigated by several authors (see, e.g., [13, 14, 18, 23]). Delay logistic equation (1.1) was studied by Gopalsamy and Zhang [7, 25] who gave sufficient conditions for the oscillation and the nonoscillation of (1.1). Publications [1, 2, 3, 4, 5, 6, 10...

Periodicity in a System of Differential Equations with Finite Delay

The existence and uniqueness of a periodic solution of the system of differential equations d dt x(t) = A(t)x(t − ) are proved. In particular the Krasnoselskii’s fixed point theorem and the contraction mapping principle are used in the analysis. In addition, the notion of fundamental matrix solution coupled with Floquet theory is also employed.  

Traveling Wavefronts of a Diffusive Hematopoiesis Model with Time Delay

In this paper, a reaction-diffusion equation with discrete time delay that describes the dynamics of the blood cell production is analyzed. The existence of the traveling wave front solutions is demonstrated using the technique of upper and lower solutions and the associated monotone iteration.

The evolution of a single species food-limited population model with delay: A numerical study

In this work we model and numerically analyse, the dynamics of a single species food-limited model with delay, we focus in the asymptotic behavior. We use the sub and supersolutions method to provide some numerical simulations of the asymptotic behavior for several cases, autonomous, periodic, almost periodic concluding with a model that incoporates nonlocal delays as well as a continuous delay...

Existence of Traveling Fronts in a Food-Limited Population Model with Spatiotemporal Delay