[PDF] Top 20 Hopf bifurcation analysis in a predator–prey model with time delay and food subsidies
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Hopf bifurcation analysis in a predator–prey model with time delay and food subsidies
... local Hopf bifurcations at the positive ...of Hopf bifurcations. In Sect. 3, by using global Hopf bifurcation theory, we analyze the global Hopf bifurcation, and we give some ... See full document
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Hopf bifurcation analysis in a predator–prey model with two time delays and stage structure for the prey
... behavior. They discussed complete analysis of local and global dynamical behaviors of this model by Filippov qualitative theory. Peng et al. [10] proposed a hybrid control strategy in a ... See full document
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Hopf Bifurcation Analysis for a Modified Time Delay Predator Prey System with Harvesting
... of predator-prey systems is one of the dominant subjects in ecology and mathematical ecology since Lotka [1] and Volterra [2] proposed the well- known predator-prey model ...of ... See full document
10
Hybrid control of Hopf bifurcation in a Lotka Volterra predator prey model with two delays
... The dynamical behavior of the predator-prey systems with time delay has been stud- ied comprehensively [–]. In the real world, there is sometimes a need to control a population at a ... See full document
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Stability and bifurcation in a Holling type II predator–prey model with Allee effect and time delay
... II predator–prey model incorporating time delay and Allee effect in ...in prey. Using the delay as a bifurcation parameter, the model undergoes a Hopf ... See full document
21
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 delay τ increasing and the critical value of τ when Hopf bifurcation ...the ... See full document
15
Periodic pulse control of Hopf bifurcation in a fractional order delay predator–prey model incorporating a prey refuge
... of time in the past. This property of the systems is called time delay, and researchers have introduced differential equations with time delay to describe and study the ... See full document
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Neimark–Sacker bifurcation and stability analysis of a discrete time prey–predator model with Allee effect in prey
... and food exploitation ...stability analysis of population ...In prey–predator systems, Allee effect may change the dynamics of the system in unexpected ways and induce com- plex ...the ... See full document
12
Stability and Hopf bifurcation for a ratio dependent predator prey system with stage structure and time delay
... ratio-dependent predator-prey models have received much attention from scientists (see, for example, ...ratio-dependent predator-prey model with the Michaelis- Menten type functional ... See full document
15
Analysis of stability and Hopf bifurcation in a fractional Gauss type predator–prey model with Allee effect and Holling type III functional response
... Kolmogorov model is a general continuous time predator–prey model, consisting of a system of first order differential equations ...Lotka–Volterra model [47], Gauss-type models ... See full document
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Delay induced Hopf bifurcation in a diffusive Holling–Tanner predator–prey model with ratio dependent response and Smith growth
... Holling–Tanner predator–prey model with ratio-dependent functional response and Simth growth subject to a homogeneous Neumann boundary ...eigenvalue analysis to get the local stability and a ... See full document
11
Hopf bifurcation of a delayed diffusive predator prey model with strong Allee effect
... between predator and prey play a complicated role in a predator-prey ...a predator-prey system by creating instability, oscillation, and chaos ...a delay into model ... See full document
22
Bifurcation Analysis of Prey-Predator Model with Harvested Predator
... important Predator – Prey models with the functional response is the Holling type – IV, originally due to Holling which has been extensively studies in many articles [4-6, ...of predator to its ... See full document
10
Direction and stability of Hopf bifurcation
... with time delays, especially in applied ...the Hopf bifurcation for the predator-prey system have been discussed by using normal form theory and center manifold theory ...network ... See full document
10
Stability and Bifurcation in a Stage-structured Predator-prey Model with Allee Effect and Time Delay
... stage-structured predator-prey model incorporating time delay with prey growth subject to a strong Allee ...in prey. Using the delay as a bifurcation ... See full document
8
Stability and Hopf bifurcation of a predator-prey model
... over time and ...the predator-prey model has become one of the most important research topics in mathematical ecology for nearly a ...same time, mathematicians used the theory of ... See full document
11
Stability and Hopf bifurcation in a delayed predator-prey system with parental care for predators
... with time delay are much more realistic, as in reality time delays occur in almost every biological problem and assumed to be one of the reasons of regular fluctuations in population density ...a ... See full document
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Stability and Hopf bifurcation for a stage structured predator–prey model incorporating refuge for prey and additional food for predator
... mathematical model for predator–prey was developed independently by Lotka [1] and Volterra [2], the predator–prey models in ecology have received great atten- tion ...the ... See full document
20
Turing instability and Hopf bifurcation in a predator–prey model with delay and predator harvesting
... of predator to prey, the handling time, and the magnitude of interference among predators, ...type predator–prey model with Crowley–Martin functional response, mainly focusing on ... See full document
18
On the stability and Hopf bifurcation of a predator prey model
... that delay differential equations exhibit much more complicated dynam- ics than ordinary differential equations since a time delay can induce various oscillations and periodic ...the delay ... See full document
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