The traditional SIRS virus propagation model is used to analyze the malware behavior of wireless rechargeable sensor networks (WRSNs) by adding a new concept: low-energy status nodes. SIRS-L has been developed in this article. Furthermore, influence time delay during charging nodes needs be considered. Hopf bifurcation studied discussing that chosen as parameter. Finally, properties are explore...

In this paper, a delayed plankton-nutrient interaction model consisting of phytoplankton, zooplankton and dissolved nutrient is considered. It is assumed that some species of phytoplankton releases toxin (known as toxin producing phytoplankton (TPP)) which is harmful for zooplankton growth and this toxin releasing process follows a discrete time variation. Using delay as bifurcation parameter, ...

In this paper, I prove a very general extension theorem for log pluricanonical systems. The strategy and the techniques used here are the same as [Ts3, Ts6, Ts7, Ts8]. The main application of this extension theorem is (together with Kawamata’s subadjunction theorem ([K5])) to give an optimal subadjunction theorem which relates the positivities of canonical bundle of the ambient projective manif...

Studying a manifold with a certain geometric structure becomes an interesting topic in differential topology when such a structure has some stability. The local stability of symplectic and contact structures, the Darboux theorem, is a fundamental property for symplectic and contact topology. There is a well-known global stability theorem for contact structures, the Gray theorem (see [3]): a one...

This paper is concerned with the asymptotic behavior of solutions to an outflow problem for one-dimensional bipolar quantum Navier-Stokes-Poisson equations in half space. First, by means manifold theory and center theorem, we show existence spatial decay rate stationary solution provided boundary strength small enough. Next, based on elaborate energy estimates, prove that asymptotically stable ...

{ Bifurcation analysis provides a methodology for the study of the changes of stability behavior of nonlinear and parameter dependent systems. The inception of bifurcations is associated with systems exhibiting critical modes. Consequently, stabilization of critical systems can be considered as control of the underlying bifurcations. Based on bifurcation equations and the center manifold theore...

In this paper, the bifurcation analysis for Burgers mapping has been studied. The existence and stability of the fixed points of this map was derived. The conditions of existence for pitchfork bifurcation, flip bifurcation and Neimark-Sacker bifurcation are derived by using center manifold theorem and bifurcation theory. The control of the map around stable NeimarkSacker bifurcation has been ac...

A bifurcation analysis is undertaken for a discrete-time Hopfield neural network with four delays. Conditions ensuring the asymptotic stability of the null solution are obtained with respect to two parameters of the system. Using techniques developed by Kuznetsov to a discrete-time system, we study the Neimark-Sacker bifurcation (also called Hopf bifurcation for maps) of the system. The directi...

Abstract: This paper is concerned with a two species Leslie-Gower predator-prey system with time delay. By regarding the delay τ as the bifurcation parameter, the stability of positive equilibrium and Hopf bifurcations are investigated. Furthermore, the direction of Hopf bifurcations and the stability of bifurcating periodic solutions are determined by applying the norm form theory and the cent...

This paper presents the stability and bifurcation analysis of a dynamical model of the heartbeat with time delay. The existence of Hopf bifurcations at the positive equilibrium is established by analyzing the distribution of the characteristic values. Moreover, the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions are determinated by applying the center m...