In this paper we introduce a new class of abstract integral equations which enables us to study in a unified manner several different types of differential equations. (C) 2012 Elsevier Inc. All rights reserved.

We propose a new approach for proving existence of monotone wavefronts in non-monotone and non local monostable diffusive equations. This allows to extend recent results established for the particular case of equations ...

We propose a new approach for proving existence of monotone wavefronts in non-monotone and non local monostable diffusive equations. This allows to extend recent results established for the particular case of equations ...

In traditional works on numerical schemes for solving stochastic differential equations (SDEs), the globally Lipschitz assumption is often assumed to ensure different types of convergence. In practice, this is often too ...

We describe the lifetimes associated with the stochastic evolution from an unstable uniform state to a patterned one when the time evolution of the field is controlled by a nonlocal Fisher equation. A small noise is added ...

To enrich the dynamics of three models, we introduced biologically motivated time-varying delays. All models under study belong to a special class of nonlinear nonautonomous delay differential systems with non-Lipschitz ...