In this paper, we investigate the dynamics of nonautonomous ratio-dependent predator-prey systems with piecewise constant argument of generalized type (PCAG) [3]. Sufficient conditions are established for some related qualitative properties such as positive invariance, permanence and non-persistence of the systems. Keywords. Piecewise constant argument of generalized type, predator-prey systems, ratio-dependent response, permanence, non-persistence. AMS (MOS) subject classification: 34A36, 34K12, 34K25
In this paper, a predator-prey model with Holling III type functional response is studied. It is int...
In this paper, the permanence, extinction and periodic solution of a delayed periodic predator-prey ...
AbstractBy using the continuation theorem of coincidence degree theory, the existence of positive pe...
We first give sufficient conditions for the permanence of nonautonomous discrete ratio-dependent pre...
A new set of sufficient conditions for the permanence of a ratio-dependent predator-prey system with...
AbstractA periodic and delayed ratio-dependent predator–prey system with Holling type III functional...
AbstractSufficient conditions of the permanence and global stability for the general delayed ratio-d...
AbstractSufficient conditions are established for the permanence in a delayed discrete predator–prey...
We considered a nonautonomous two dimensional predator-prey system with impulsive effect. Conditions...
A periodic ratio-dependent predator?prey model with time delays and stage structure for both prey an...
AbstractThis paper studies the general nonautonomous predator–prey Lotka–Volterra systems with infin...
Verifiable criteria are established for the permanence and existence of positive periodic solutions ...
AbstractIn this paper we study permanence, extinction and periodic solution of periodic predator–pre...
Abstract A discrete semi-ratio-dependent predator-prey system with Holling type IV functional respon...
A ratio-dependent predator?prey model with stage structure for prey is investigated. First, sufficie...
In this paper, a predator-prey model with Holling III type functional response is studied. It is int...
In this paper, the permanence, extinction and periodic solution of a delayed periodic predator-prey ...
AbstractBy using the continuation theorem of coincidence degree theory, the existence of positive pe...
We first give sufficient conditions for the permanence of nonautonomous discrete ratio-dependent pre...
A new set of sufficient conditions for the permanence of a ratio-dependent predator-prey system with...
AbstractA periodic and delayed ratio-dependent predator–prey system with Holling type III functional...
AbstractSufficient conditions of the permanence and global stability for the general delayed ratio-d...
AbstractSufficient conditions are established for the permanence in a delayed discrete predator–prey...
We considered a nonautonomous two dimensional predator-prey system with impulsive effect. Conditions...
A periodic ratio-dependent predator?prey model with time delays and stage structure for both prey an...
AbstractThis paper studies the general nonautonomous predator–prey Lotka–Volterra systems with infin...
Verifiable criteria are established for the permanence and existence of positive periodic solutions ...
AbstractIn this paper we study permanence, extinction and periodic solution of periodic predator–pre...
Abstract A discrete semi-ratio-dependent predator-prey system with Holling type IV functional respon...
A ratio-dependent predator?prey model with stage structure for prey is investigated. First, sufficie...
In this paper, a predator-prey model with Holling III type functional response is studied. It is int...
In this paper, the permanence, extinction and periodic solution of a delayed periodic predator-prey ...
AbstractBy using the continuation theorem of coincidence degree theory, the existence of positive pe...