[PDF] Top 20 Stability and Hopf bifurcation for a stage structured predator–prey model incorporating refuge for prey and additional food for predator
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Stability and Hopf bifurcation for a stage structured predator–prey model incorporating refuge for prey and additional food for predator
... local stability of equilibria and the existence of Hopf bifurcation at the positive equilibrium taking the time delay as a bifurcation ...the Hopf bifurcation and the ... See full document
20
Stability and Hopf bifurcation of a modified predator prey model with a time delay and square root response function
... two-dimensional predator-prey model with a time delay and square root response ...the stability of equilibria with the delay τ increasing and the critical value of τ when Hopf ... See full document
15
On the stability and Hopf bifurcation of a predator prey model
... delay predator-prey model with Holling type-IV functional response and stage-structured for the ...this model under the influence of gestation delay of the ...local ... See full document
11
Stability and Hopf bifurcation of a predator-prey model
... the predator-prey model has become one of the most important research topics in mathematical ecology for nearly a ...a predator-prey ...global stability of a ... See full document
11
Stability and Hopf bifurcation in a delayed predator-prey system with parental care for predators
... a stage-structured predator-prey model (stage structure on predators) with two discrete time delays has been ...the prey and their foods are provided by ...Linear ... See full document
27
Analysis of stability and Hopf bifurcation in a fractional Gauss type predator–prey model with Allee effect and Holling type III functional response
... Gauss-type predator– prey model with Allee effect and Holling type-III functional ...The model was constructed by starting with the first order model as shown in ...the model. We ... See full document
20
Stability and Hopf bifurcation for a ratio dependent predator prey system with stage structure and time delay
... ratio-dependent predator-prey system with time delay due to the gestation of the predator and stage structure for both the predator and the prey is ...local stability of ... See full document
15
Hopf bifurcation of a delayed diffusive predator prey model with strong Allee effect
... linear stability of equilibria and the ex- istence of Hopf bifurcation of the coexisting equilibrium are obtained in Section ...and stability of Hopf bifurcation by applying the ... See full document
22
Stability and Bifurcation in a Stage-structured Predator-prey Model with Allee Effect and Time Delay
... a stage-structured predator-prey model incorporating time delay with prey growth subject to a strong Allee ...asymptotic stability of the system according to the ... See full document
8
Hopf bifurcation analysis in a predator–prey model with time delay and food subsidies
... and stability of positive equilibria and obtain sufficient conditions for local Hopf bifurcations at the positive ...of Hopf bifurcations. In Sect. 3, by using global Hopf bifurcation ... See full document
22
Predator prey dynamics with Allee effect in prey refuge
... a predator-prey model with a refuge and an open habitat for ...a prey refuge and the environment carrying capacity of prey are ...of prey and predator, fast ... See full document
12
Turing instability and Hopf bifurcation in a predator–prey model with delay and predator harvesting
... a predator–prey model with delay and harvesting on ...for stability and Turing instability of coexisting equilibrium by analyzing the eigenvalue ...a bifurcation parameter we give ... See full document
18
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 ... See full document
12
Hopf bifurcation analysis in a predator–prey model with two time delays and stage structure for the prey
... discussed predator–prey models with these fac- ...a predator–prey system with time delay and studied the effect of time delay on the ...the stability of vegetation–herbivore and ... See full document
20
Periodic pulse control of Hopf bifurcation in a fractional order delay predator–prey model incorporating a prey refuge
... of predator–prey (PP) systems with delay have been pro- posed and studied ...i.e. incorporating time delay into biological models to describe resource regeneration time, maturation time, reaction ... See full document
30
Dynamics of a predator-prey system with prey refuge
... (one-parameter bifurcation diagram ...of bifurcation that takes place as we vary the parameters β, c ′ ...of Hopf point, the limit cycle and the general bifurcation may be ...a Hopf ... See full document
21
Direction and stability of Hopf bifurcation
... mathematics. Stability and direction of the Hopf bifurcation for the predator-prey system have been discussed by using normal form theory and center manifold theory ...and ... See full document
10
Hopf Bifurcation Analysis for a Modified Time Delay Predator Prey System with Harvesting
... and stability of time-delay induced Hopf bifurcation in a delayed predator-prey system with ...its stability via the Hopf bifurcation when the time delay increases ... See full document
10
Stability of a stage-structured predator-prey model with Allee effect and harvesting
... the stage structure model, also, since the creatures of higher rank are more likely to die out or have Allee effect, due to the lack of food, it is necessary to investigated the predator ... See full document
20
Dynamical behavior of a stage structured prey-predator model
... is structured as follows: In Section 2, mathematical model is formulated followed by Section 3 in which Mathematical preliminaries of the model has been ...global stability analysis have been ... See full document
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