The aim of this paper is to give a detailed analysis of Hopf bifurcation of a ratio-dependent predator–prey system involving two discrete delays. A delay parameter is chosen as the bifurcation parameter for the analysis. Stability of the bifurcating periodic solutions is determined by using the centre manifold theorem and the normal form theory introduced by Hassard et al. Some of the bifurcation properties including the direction, stability and period are given. Finally, our theoretical results are supported by some numerical simulations. doi:10.1017/S144618111400005
We propose a two-dimensional predatory-prey model with discrete and distributed delay. By the use of...
In this paper we study the properties of the Hopf bifurcations obtained for a delayed predator-prey ...
Abstract In this paper, a stage-structured predator–prey model with Holling type III functional resp...
The aim of this paper is to give a detailed analysis of Hopf bifurcation of a ratio-dependent predat...
The aim of this paper is to give a detailed analysis of Hopf bifurcation of a ratio-dependent predat...
In this paper we give a detailed Hopf bifurcation analysis of a ratio-dependent predator prey system...
AbstractA ratio-dependent predator–prey model with time delay due to the gestation of the predator i...
A ratio-dependent predator-prey model with two delays is investigated. The conditions which ensure t...
In this paper, a time-delayed predator-prey system is considered. The existence of Hopf bifurcations...
A stage-structured predator-prey system with two time delays is considered. By analyzing the corresp...
A predator-prey system with disease in the predator is investigated, where the discrete delay τ is r...
We consider a coupled, logistic predator–prey system with delay. Mainly, by choosing the delay tim...
A class of stage-structured predator-prey model with time delay and delay-dependent parameters is co...
This paper is concerned with a Holling type III predator-prey system with stage structure for the pr...
In this paper, a two-species Lotka-Volterra predator-prey model with two delays is considered. By an...
We propose a two-dimensional predatory-prey model with discrete and distributed delay. By the use of...
In this paper we study the properties of the Hopf bifurcations obtained for a delayed predator-prey ...
Abstract In this paper, a stage-structured predator–prey model with Holling type III functional resp...
The aim of this paper is to give a detailed analysis of Hopf bifurcation of a ratio-dependent predat...
The aim of this paper is to give a detailed analysis of Hopf bifurcation of a ratio-dependent predat...
In this paper we give a detailed Hopf bifurcation analysis of a ratio-dependent predator prey system...
AbstractA ratio-dependent predator–prey model with time delay due to the gestation of the predator i...
A ratio-dependent predator-prey model with two delays is investigated. The conditions which ensure t...
In this paper, a time-delayed predator-prey system is considered. The existence of Hopf bifurcations...
A stage-structured predator-prey system with two time delays is considered. By analyzing the corresp...
A predator-prey system with disease in the predator is investigated, where the discrete delay τ is r...
We consider a coupled, logistic predator–prey system with delay. Mainly, by choosing the delay tim...
A class of stage-structured predator-prey model with time delay and delay-dependent parameters is co...
This paper is concerned with a Holling type III predator-prey system with stage structure for the pr...
In this paper, a two-species Lotka-Volterra predator-prey model with two delays is considered. By an...
We propose a two-dimensional predatory-prey model with discrete and distributed delay. By the use of...
In this paper we study the properties of the Hopf bifurcations obtained for a delayed predator-prey ...
Abstract In this paper, a stage-structured predator–prey model with Holling type III functional resp...
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