Bifurcation of nontrivial periodic solutions for a Beddington–DeAngelis interference model with impulsive biological control

Bifurcation of nontrivial periodic solutions for an impulsively controlled pest management model

In this paper, we investigate the existence of nontrivial periodic solutions for an integrated pest management model which is impulsively controlled by means of biological and chemical controls used in a periodic fashion. For this model, a nonlinear incidence rate is employed to describe the transmission of the disease which is induced through the use of the biological control, while the chemic...

Bifurcation from Periodic Solutions with Spatiotemporal Symmetry

In this paper, we discuss some recent developments in the understanding of generic bifurcation from periodic solutions with spatiotemporal symmetries. We focus mainly on the theory for bifurcation from isolated periodic solutions in dynamical systems with a compact symmetry group. Moreover, we discuss how our theory justiies certain heuristic assumptions underlying previous approaches towards p...

Bifurcation analysis of a model for biological control

In this paper we study the Lyapunov stability and Hopf bifurcation in a biological system which models the biological control of parasites of orange plantations. c © 2007 Elsevier Ltd. All rights reserved.

Almost periodic solutions for impulsive neural networks with delay

In the present paper the problems of existence and uniqueness of almost periodic solutions for impulsive cellular neural networks with delay are considered. 2006 Elsevier Inc. All rights reserved.

Bifurcation of positive periodic solutions of first-order impulsive differential equations