Results 61 to 70 of about 5,050,575 (301)

Global Hopf Bifurcation Analysis for an Avian Influenza Virus Propagation Model with Nonlinear Incidence Rate and Delay

open access: yesAbstract and Applied Analysis, 2014
The paper investigated an avian influenza virus propagation model with nonlinear incidence rate and delay based on SIR epidemic model. We regard delay as bifurcating parameter to study the dynamical behaviors.
Yanhui Zhai   +3 more
doaj   +1 more source

Global bifurcation for nonlinear Dirac problems

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
In this paper we consider the nonlinear eigenvalue problems for the one-dimensional Dirac equation. To exploit oscillatory properties of the components of the eigenvector-functions of linear one-dimensional Dirac system an appropriate family of sets is ...
Ziyatkhan Aliyev, Humay Rzayeva
doaj   +1 more source

Bifurcation Behaviors of Steady-State Solution to a Discrete General Brusselator Model

open access: yesDiscrete Dynamics in Nature and Society, 2020
We study the local and global bifurcation of nonnegative nonconstant solutions of a discrete general Brusselator model. We generalize the linear u in the standard Brusselator model to the nonlinear fu.
Ruyun Ma, Zhongzi Zhao
doaj   +1 more source

Complementing maps, continuation and global bifurcation [PDF]

open access: yes, 1983
We state, and indicate some of the consequences of, a theorem whose sole assumption is the nonvanishing of the Leray- Schauder degree of a compact vector field, and whose conclusions yield multidimensional existence, continuation and bifurcation ...
Pejsachowicz, Jacobo   +2 more
core  

Autonomous Navigation of Pollen‐Inspired Magnetic Microrobots for Biomedical Applications

open access: yesAdvanced Robotics Research, EarlyView.
A sunflower pollen‐inspired magnetic microrobot enables controlled rolling navigation in vessel‐like environments. Its open geometry reduces hydrodynamic drag, while vision‐based closed‐loop control, shortest‐path planning, and reinforcement learning support target‐reaching and maze navigation with microrobot‐scale accuracy, highlighting a route toward
Ali Anil Demircali   +6 more
wiley   +1 more source

Global Bifurcation of a Novel Computer Virus Propagation Model

open access: yesAbstract and Applied Analysis, 2014
In a recent paper by J. Ren et al. (2012), a novel computer virus propagation model under the effect of the antivirus ability in a real network is established.
Jianguo Ren, Yonghong Xu, Jiming Liu
doaj   +1 more source

Bifurcation analysis of a multi-transverse-mode VCSEL [PDF]

open access: yes, 2008
We study the behaviour of a multi-transverse-mode vertical-cavity surface-emitting laser subject to optical feedback in which the optical modes are coupled through the external round-trip. Starting from a delayed partial differential equation description
Green, K, Green, K., Krauskopf, B
core   +1 more source

Magnetically Actuated Microrobot for Drug Delivery: Current Progress and Challenges

open access: yesAdvanced Robotics Research, EarlyView.
Magnetically actuated microrobots are reshaping targeted drug delivery through wireless propulsion, programmable materials, and localized therapeutic release. This review examines how fabrication, body material selection, structural architecture, loading mechanisms, and imaging‐guided control converge to enable microrobotic therapies while identifying ...
Yang Yang, David J. Cappelleri
wiley   +1 more source

Bifurcation Analysis of a Lotka-Volterra Mutualistic System with Multiple Delays

open access: yesAbstract and Applied Analysis, 2014
A class of Lotka-Volterra mutualistic system with time delays of benefit and feedback delays is introduced. By analyzing the associated characteristic equation, the local stability of the positive equilibrium and existence of Hopf bifurcation are ...
Xin-You Meng, Hai-Feng Huo
doaj   +1 more source

Path-connectedness in global bifurcation theory

open access: yesElectronic Research Archive, 2021
A celebrated result in bifurcation theory is that global connected sets of non-trivial solutions bifurcate from trivial solutions at non-zero eigenvalues of odd algebraic multiplicity of the linearized problem when the operators involved are compact. In this paper a simple example is constructed which satisfies the regularity hypotheses of the global ...
openaire   +3 more sources

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