In this paper, stability for state-dependent delayed complex networks under stochastic hybrid
impulsive control is investigated. The impulses herein are stochastic and hybrid, that is, the …

During development, organs reach precise shapes and sizes. Organ morphology is not
always obtained through growth; a classic counterexample is the condensation of the …

We propose an approximation of nonlinear renewal equations by means of ordinary
differential equations. We consider the integrated state, which is absolutely continuous and …

We prove the validity of a Floquet theory and the existence of Poincaré maps for periodic
solutions of renewal equations, also known as Volterra functional equations. Our approach …

Dynamic behavior investigations of infectious disease models are central to improve our
understanding of emerging characteristics of model states interaction. Here, we consider a …

Pseudospectral approximation reduces delay differential equations (DDE) to ordinary
differential equations (ODE). Next one can use ODE tools to perform a numerical bifurcation …

Physiologically structured population models are typically formulated as a partial differential
equation of transport type for the density, with a boundary condition describing the birth of …

In this paper we study the pseudospectral approximation of delay differential equations
formulated as abstract differential equations in the $ odot* $-space. This formalism also …

Stability of a linear stochastic differential equation with distributed and state-dependent
delays is investigated. Sufficient conditions of asymptotic mean square stability are obtained …

A cell differentiation model with maturity structure in progenitor cells is described by a
system of nonlinear ODEs coupled to a PDE. The work mainly discusses Hopf-bifurcation for …