Scholarly Research Excellence

Peiluan Li

Publications

4

Publications

4
16751
Stability Analysis in a Fractional Order Delayed Predator-Prey Model
Abstract:

In this paper, we study the stability of a fractional order delayed predator-prey model. By using the Laplace transform, we introduce a characteristic equation for the above system. It is shown that if all roots of the characteristic equation have negative parts, then the equilibrium of the above fractional order predator-prey system is Lyapunov globally asymptotical stable. An example is given to show the effectiveness of the approach presented in this paper.

Keywords:
Fractional predator-prey model, laplace transform, characteristic equation.
3
576
Periodic Oscillations in a Delay Population Model
Abstract:

In this paper, a nonlinear delay population model is investigated. Choosing the delay as a bifurcation parameter, we demonstrate that Hopf bifurcation will occur when the delay exceeds a critical value. Global existence of bifurcating periodic solutions is established. Numerical simulations supporting the theoretical findings are included.

Keywords:
Population model, Stability, Hopf bifurcation, Delay, Global Hopf bifurcation.
2
16966
Periodic Orbits in a Delayed Nicholson's Blowflies Model
Abstract:

In this paper, a delayed Nicholson,s blowflies model with a linear harvesting term is investigated. Regarding the delay as a bifurcation parameter, we show that Hopf bifurcation will occur when the delay crosses a critical value. Numerical simulations supporting the theoretical findings are carried out.

Keywords:
Nicholson's blowflies model, Stability, Hopf bifurcation, Delay.
1
16967
Bifurcations for a FitzHugh-Nagumo Model with Time Delays
Abstract:

In this paper, a FitzHugh-Nagumo model with time delays is investigated. The linear stability of the equilibrium and the existence of Hopf bifurcation with delay τ is investigated. By applying Nyquist criterion, the length of delay is estimated for which stability continues to hold. Numerical simulations for justifying the theoretical results are illustrated. Finally, main conclusions are given.

Keywords:
FitzHugh-Nagumo model, Time delay, Stability, Hopf bifurcation.