In this paper, we consider the turbidostat system with fractional delayed differential equations. Stability of the unique positive equilibrium point of the systems with and without delay are investigated. We prove the existence of Hopf bifurcation for delayed case. Then, the influence of fractional order and time delay parameter on the system is examined through numerical simulation
In recent years, some researchers paid their attention to the interaction between toxic phytoplankto...
Abstract We analyze the stability of positive equilibrium in a predator-prey model with time delay τ...
In this paper, we analyze the dynamical behavior of the delayed fractional-order tumor model with Ca...
In this paper, we consider the turbidostat system with fractional delayed differential equations.Sta...
Abstract In this paper, dynamic behaviors of a turbidostat model with Tissiet functional response, l...
We study a fractional-order delayed predator-prey model with Holling–Tanner-type functional response...
A fractional-order epidemic model with time delay is considered. Firstly, stability of the disease-f...
This paper proposes a delayed fractional-order model which is more accurate than the original intege...
In this paper, we propose a delayed fractional-order congestion control model which is more accurate...
We consider a system of fractional delayed differential equations. The ordinary differential version...
In the present work, we mainly focus on a new established fractional-order predator-prey system conc...
In this paper, we address the problem of the bifurcation control of a delayed fractional-order dual ...
This paper is devoted to the investigation of the nonnegative solutions and the stability and asympt...
Fractional derivative and delay are important tools in modeling memory properties in the natural sys...
The issue of bifurcation control for a novel fractional-order two-prey and one-predator system with ...
In recent years, some researchers paid their attention to the interaction between toxic phytoplankto...
Abstract We analyze the stability of positive equilibrium in a predator-prey model with time delay τ...
In this paper, we analyze the dynamical behavior of the delayed fractional-order tumor model with Ca...
In this paper, we consider the turbidostat system with fractional delayed differential equations.Sta...
Abstract In this paper, dynamic behaviors of a turbidostat model with Tissiet functional response, l...
We study a fractional-order delayed predator-prey model with Holling–Tanner-type functional response...
A fractional-order epidemic model with time delay is considered. Firstly, stability of the disease-f...
This paper proposes a delayed fractional-order model which is more accurate than the original intege...
In this paper, we propose a delayed fractional-order congestion control model which is more accurate...
We consider a system of fractional delayed differential equations. The ordinary differential version...
In the present work, we mainly focus on a new established fractional-order predator-prey system conc...
In this paper, we address the problem of the bifurcation control of a delayed fractional-order dual ...
This paper is devoted to the investigation of the nonnegative solutions and the stability and asympt...
Fractional derivative and delay are important tools in modeling memory properties in the natural sys...
The issue of bifurcation control for a novel fractional-order two-prey and one-predator system with ...
In recent years, some researchers paid their attention to the interaction between toxic phytoplankto...
Abstract We analyze the stability of positive equilibrium in a predator-prey model with time delay τ...
In this paper, we analyze the dynamical behavior of the delayed fractional-order tumor model with Ca...