Results 51 to 60 of about 21,432 (265)
Bifurcation Behaviors of Steady-State Solution to a Discrete General Brusselator Model
Discrete 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
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Advanced Science, EarlyView.SETDB1 is progressively downregulated in ALD, correlating with disease severity. SETDB1 deficiency impairs LAP by disrupting Rubicon membrane localization, leading to defective lipid droplet clearance. Concurrently, loss of SETDB1 reduces nuclear LC3B, causing R‐loop accumulation and cGAS‐STING‐driven inflammation. Lipidated LC3B mediates LAP‐dependent
Yi Zhang +17 more
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Global Bifurcation of a Novel Computer Virus Propagation Model
Abstract 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
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Global bifurcation for nonlinear Dirac problems
Electronic 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
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Path-connectedness in global bifurcation theory
Electronic 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 ...
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Global Bifurcation of Waves with Multiple Critical Layers [PDF]
SIAM Journal on Mathematical Analysis, 2020 Analytic global bifurcation theory is used to construct a large variety of families of steady periodic two-dimensional gravity water waves with real-analytic vorticity distributions, propagating in an incompressible fluid. The waves that are constructed can possess an arbitrary number of interior stagnation points in the fluid, and corresponding ...
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Global Hopf bifurcation in the ZIP regulatory system [PDF]
Journal of Mathematical Biology, 2014 Regulation of zinc uptake in roots of Arabidopsis thaliana has recently been modeled by a system of ordinary differential equations based on the uptake of zinc, expression of a transporter protein and the interaction between an activator and inhibitor.
Claus, Juliane +3 more
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Advanced Science, EarlyView.In fibrotic distal lung regions, CD66c+ basal cells emerge as a pathological state. Using human distal lung organoids, this study identifies CD66c+ basal cells as a pro‐fibrotic state arising through transdifferentiation from secretory, AT2, and basal cells.
Kaijun Lin +13 more
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Bifurcation Analysis of a Lotka-Volterra Mutualistic System with Multiple Delays
Abstract 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
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Global Bifurcation for Fractional $p$-Laplacian and an Application [PDF]
Zeitschrift für Analysis und ihre Anwendungen, 2016 We prove the existence of an unbounded branch of solutions to the non-linear non-local equation (-\Delta)^s_p u=\lambda |u|^{p-2}u + f(x,u,\lambda) \quad\text{in } \Omega,\quad u=0 \quad\text{in } \mathbb R^n\setminus\Omega ,
del Pezzo, Leandro Martin +1 more
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