[PDF] Top 20 Hopf bifurcation in a dynamic IS LM model with time delay
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Hopf bifurcation in a dynamic IS LM model with time delay
... In formulas 18, µ2 determines the direction of the Hopf bifurcation: if µ2 > 0< 0, then the Hopf bifurcation is supercritical subcritical and the bifurcating periodic solutions exit for [r] ... See full document
14
Center Manifold Reduction of the Hopf-Hopf Bifurcation in a Time Delay System
... differential delay equation that is motivated by a system of two microbubbles coupled by acoustic forcing, previously studied by Heckman et ...propagation time of sound in the fluid gives rise to a ... See full document
9
Hopf bifurcation in a general n-neuron ring network with n time delays
... Ring networks have been found in a variety of neural structures such as cerebellum [5], and even in chemistry and electrical engineering. In the field of neural networks, rings are studied to gain insight into the ... See full document
17
Andronov Hopf bifurcation and sensitivity analysis of a time delay HIV model with logistic growth and antiretroviral treatment
... The model of Wang et al. is based on a model discussed by Rong and Perelson [, , ] with the main difference being the addition of a logistic growth term for healthy CD+ ...that time delays can ... See full document
16
Hopf bifurcation control for a class of delay differential systems with discrete-time delayed feedback controller
... of delay feedback controllers, the continuous-time controller and the discrete-time controller, are presented in Section ...the Hopf bifurcation ... See full document
20
Stability and Hopf bifurcation of a predator-prey model
... which dynamic systems are involved in species, popu- lations, and how these groups interact with the ...over time and ...predator-prey model has become one of the most important research topics in ... See full document
11
Hopf bifurcation analysis in a predator–prey model with time delay and food subsidies
... predator-prey model on the basis of population ...ical model. For example, the authors in [3] analyzed the multiple bifurcation problem of a predator-prey model with nonmonotonic functional ... See full document
22
Hopf Bifurcation and Stability Analysis of a Business Cycle Model With Time-Delayed Feedback
... In recent years, with the differential equations have been widely applied to biology, economics and other fields, many scholars have established some models that can reflect the characteristics of the dynamical systems ... See full document
11
Hopf Bifurcation and Stability Analysis in a Price Model with Time-Delayed Feedback
... a dynamic economic phenomenon, which is closely related to people's life and it is also affected by the supply and ...price model has important application background and extremely rich dynamic ... See full document
12
Hopf Bifurcation Analysis for a Modified Time Delay Predator Prey System with Harvesting
... Due to its universal existence and importance, the study on the dynamics of predator-prey systems is one of the dominant subjects in ecology and mathematical ecology since Lotka [1] and Volterra [2] proposed the well- ... See full document
10
Global stability and Hopf bifurcation of a delayed epidemiological model with logistic growth and disease relapse
... epidemiological model with relapse and a time delay describing the latent period of the disease is ...the model, it is assumed that the susceptible population is subject to logistic growth in ... See full document
17
Stability and Hopf bifurcation of a modified predator prey model with a time delay and square root response function
... Dynamics of predator-prey models are one of the important subjects in ecology and math- ematical ecology. Many researchers have studied predator-prey models with delay and derived some important results [–]. A ... See full document
15
Stability and Bifurcation in a Stage-structured Predator-prey Model with Allee Effect and Time Delay
... and Hopf bifurcation of a stage-structured predator-prey model incor- porating time delay with prey growth subject to a strong Allee ...the dynamic behav- iors of system ...a ... See full document
8
On the stability and Hopf bifurcation of a predator prey model
... a time 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 ...a Hopf ... See full document
11
Hopf bifurcation of a heroin model with time delay and saturated treatment function
... exponential model based on the infectious disease model of Ker- mack and Mckendrick to describe how the use of heroin spreads in an epidemic ...epidemic model for treating heroin users, and it ... See full document
16
Stability and Hopf bifurcation for a ratio dependent predator prey system with stage structure and time delay
... Based on the above discussions, in this paper, we incorporate stage structure for both the predator and the prey into system (.) and discuss the effects of time delay due to the gestation of the predator ... See full document
15
Stability and Hopf bifurcation analysis of SIR epidemic model with time delay
... that time delays can exercise a role that is both complex and intriguing on the dynamic behaviour of a system [1, 2, 4, 5, 7, ...of time delay into susceptible and infective individuals in ... See full document
5
Hopf zero bifurcation of Oregonator oscillator with delay
... the Hopf bifurcation or Hopf-zero bifurcation in delay differential equations, and some results have been obtained (see [1, 2, 4, 5, 7–10, 12, 13, 17, 19, 22, 24, ...the Hopf-zero ... See full document
21
Turing instability and Hopf bifurcation in a predator–prey model with delay and predator harvesting
... handling time, and the magnitude of interference among predators, ...predator–prey model with Crowley–Martin functional response, mainly focusing on Turing–Hopf ...predator–prey model with ... See full document
18
Hopf bifurcation in a environmental defensive expenditures model with time delay
... tures model with delay is considered. The model is based on the inter- actions among visitors V , quality of ecosystem goods E , and capital K , intended as accommodation and entertainment ... See full document
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