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Hopf bifurcation

Stability and hopf bifurcation analysis of an epidemiological model incorporating delay and media coverage

Stability and hopf bifurcation analysis of an epidemiological model incorporating delay and media coverage

... a Hopf bifurcation can occur under the less media impact (m > 0 is sufficiently small) while the model may have up to three endemic equilibria if the media impact is stronger enough in ...

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Hopf bifurcation in a environmental defensive expenditures model with time delay

Hopf bifurcation in a environmental defensive expenditures model with time delay

... destabilizing process, in the sense that increasing the delay could cause the bio-economics to fluctuate. Formulas about the stability of bifurcat- ing periodic solution and the direction of Hopf ...

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Hopf bifurcation of a delayed worm model with two latent periods

Hopf bifurcation of a delayed worm model with two latent periods

... Following the idea of Hassard [34], in this section, we investigate the direction and stabil- ity of the Hopf bifurcation at the critical value τ 2 ∗ by using the normal form theory and the center manifold ...

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Stability and Hopf bifurcation of a producer scrounger model with age structure

Stability and Hopf bifurcation of a producer scrounger model with age structure

... The paper is organized as follows. In Section , a producer-scrounger model with age- structure in scrounger is derived. In Section , the basic theory, including existence, uniqueness, positivity and boundedness of ...

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Turing–Hopf bifurcation of a ratio dependent predator prey model with diffusion

Turing–Hopf bifurcation of a ratio dependent predator prey model with diffusion

... Turing–Hopf bifurcation of a ratio-dependent predator-prey model with diffusion and Neumann boundary condition is ...Turing–Hopf bifurcation of a general reaction-diffusion equation under ...

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Hopf bifurcation of a heroin model with time delay and saturated treatment function

Hopf bifurcation of a heroin model with time delay and saturated treatment function

... and Hopf bifurcation of a delayed heroin model with saturated treatment function are ...of Hopf bifurcation are obtained by regarding the time delay as a bifurcation parameter and ...

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Stability and Hopf bifurcation analysis in a fractional order delayed paddy ecosystem

Stability and Hopf bifurcation analysis in a fractional order delayed paddy ecosystem

... and Hopf bifurcation of a paddy ecosystem with three main components: rice, weeds, and inorganic ...and Hopf bifurcation by analyzing their characteristic ...

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Stability and Hopf bifurcation of a predator-prey model

Stability and Hopf bifurcation of a predator-prey model

... to obtain more details of the Hopf bifurcation at (x ∗ , y ∗ ), we need to do a further analysis to system (1.2). Let x = x – x ∗ , y = y – y ∗ , we transform the equilibrium (x ∗ , y ∗ ) of system (1.2) to ...

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Analysing panel flutter in supersonic flow by Hopf bifurcation

Analysing panel flutter in supersonic flow by Hopf bifurcation

... Furthermore, Hopf bifurcation theory can be utilized as an important tool for the determination of the flutter and limit cycle vibrations of ...addition, Hopf bifurcation tool can be used to ...

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On the stability and Hopf bifurcation of a predator prey model

On the stability and Hopf bifurcation of a predator prey model

... We consider a time delay predator-prey model with Holling type-IV functional response and stage-structured for the prey. Our aim is to observe the dynamics of this model under the influence of gestation delay of the ...

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Hopf Bifurcation Control in a Lorenz Type System

Hopf Bifurcation Control in a Lorenz Type System

... apply Hopf Bifurcation Control to the system (3) in order to change the Hopf bifurcation from supercritical to subcritical, by using non-lineal control laws in state ...for Hopf ...

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Center Manifold Reduction of the Hopf-Hopf Bifurcation in a Time Delay System

Center Manifold Reduction of the Hopf-Hopf Bifurcation in a Time Delay System

... a Hopf-Hopf bifurcation in a nonlinear differential delay ...undergo Hopf bifurcation, there exists the possibility of the full system to undergo this codimension 2 ...a ...

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Direction and stability of Hopf bifurcation

Direction and stability of Hopf bifurcation

... the Hopf bifurcation for the predator-prey system have been discussed by using normal form theory and center manifold theory ...[7,12]. Bifurcation analysis of the predtor-prey model has been ...

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Hopf Bifurcation and Stability Analysis in a Price Model with Time-Delayed Feedback

Hopf Bifurcation and Stability Analysis in a Price Model with Time-Delayed Feedback

... local Hopf bifurcation are studied and the conditions for the stability and the existence of Hopf bifurcation at the equilibrium are derived in section ...of Hopf bifurcation by ...

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HOPF BIFURCATION IN A CHEMICAL  MODEL

HOPF BIFURCATION IN A CHEMICAL MODEL

... of Hopf bifurcation in a two dimensional nonlinear differential equation, popularly known as the Brusselator ...supercritical Hopf bifurcation for certain parameter values which marks the ...

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Hopf bifurcation in a dynamic IS LM model with time delay

Hopf bifurcation in a dynamic IS LM model with time delay

... The paper is organized as follows. In section 2 we investigate the local stability of the equilibrium point associated to system (2). Choosing the delay as a bifurcation parameter some sufficient conditions for ...

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Hopf bifurcation analysis for an epidemic model over the Internet with two delays

Hopf bifurcation analysis for an epidemic model over the Internet with two delays

... The structure of this paper is as follows. In the next section, we study the local stabil- ity of the viral equilibrium of system (2) and the existence of a local Hopf bifurcation of system (2). In Sect. 3, ...

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Zero Hopf bifurcation and Hopf bifurcation for smooth Chua’s system

Zero Hopf bifurcation and Hopf bifurcation for smooth Chua’s system

... zero-Hopf bifurcation of system (2) is addressed in ...classical Hopf bifurcation is studied to illustrate the existence of periodic ...

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Hopf bifurcation and periodic solution of a delayed predator prey mutualist system

Hopf bifurcation and periodic solution of a delayed predator prey mutualist system

... rium. In Section , we discuss the direction and stability of the Hopf bifurcation by using the normal form theory and center manifold theorem. In Section , we give an interest- ing numerical analysis to ...

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Hopf bifurcation analysis for a model of plant virus propagation with two delays

Hopf bifurcation analysis for a model of plant virus propagation with two delays

... then the positive equilibrium E is unstable, and system (4.1) undergoes a Hopf bifurcation at E, and a family of periodic solutions bifurcate from the positive equilibrium E. This property can be ...

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