HOPF_BIFURCATION

作品数：309被引量：353H指数：9
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Generalized Hopf Bifurcation in a Delay Model of Neutrophil Cells Model
《International Journal of Modern Nonlinear Theory and Application》2024年第2期11-28,共18页Suqi Ma S. J. Hogan 
The DDE-Biftool software is applied to solve the dynamical stability and bifurcation problem of the neutrophil cells model. Based on Hopf point finding with the stability property of the equilibrium solution loss, the...
关键词：Generalized Hopf Bifurcation DDE-Biftool Software Norm Form 
Bifurcation Analysis of a Neutrophil Periodic Oscillation Model with State Feedback Control
《International Journal of Modern Nonlinear Theory and Application》2023年第1期1-17,共17页Suqi Ma 
The mathematical model of stem cells is discussed with its motivation to describe the tissue relationship by technically introducing a two compartments model. The clear link between the proliferation phase of stem cel...
关键词：Neutrophil Phase Time Delay Hopf Bifurcation DDE-Biftool Fold Periodical Bifurcation Period-Doubling Bifurcation 
Periodical Bifurcation Analysis of a Type of Hematopoietic Stem Cell Model with Feedback Control
《International Journal of Modern Nonlinear Theory and Application》2023年第1期18-29,共12页Suqi Ma 
The delay feedback control brings forth interesting periodical oscillation bifurcation phenomena which reflect in Mackey-Glass white blood cell model. Hopf bifurcation is analyzed and the transversal condition of Hopf...
关键词：BIFURCATION Saddle-Node Bifurcation Period-Doubling Bifurcation Hopf Bifurcation Time Delay 
Hopf Bifurcation of a Gene-Protein Network Module with Reaction Diffusion and Delay Effects
《International Journal of Modern Nonlinear Theory and Application》2021年第3期91-105,共15页S. Q. Ma 
The infinite dimensional partial delay differential equation is set forth and delay difference state feedback control is considered to describe the cell cycle growth in eukaryotic cell cycles. Hopf bifurcation occurs ...
关键词：Partial Functional Differential Equations Hopf Bifurcation Normal Form 
Bifurcation and Stability Analysis of HIV Infectious Model with Two Time Delays
《International Journal of Modern Nonlinear Theory and Application》2021年第2期49-64,共16页S. Q. Ma 
The HIV problem is studied by version of delay mathematical models which consider the apoptosis of uninfected CD4+ T cells which cultured with infected T cells in big volume. The opportunistic infection and...
关键词：Hopf Bifurcation Multiple Time Delay HIV Model 
Stability and Bifurcation Analysis of a Type of Hematopoietic Stem Cell Model
《International Journal of Modern Nonlinear Theory and Application》2021年第1期13-27,共15页Suqi Ma 
The observed dynamical property illustrates that state feedback control may stabilize invariant attractor to stable state in a simple version of hematopoietic stem cell model. The stability character of the positive s...
关键词：State Feedback Control Time Delay Hopf Bifurcation 
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