Results 41 to 50 of about 556,712 (359)
Stability, bifurcation, and chaos control in a discrete predator-prey model with strong Allee effect
AIMS Mathematics, 2023 This work considers a discrete-time predator-prey system with a strong Allee effect. The existence and topological classification of the system's possible fixed points are investigated.
Ali Al Khabyah +3 more
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Bifurcation of Nonlinear Equations: II. Dynamic Bifurcation [PDF]
Methods and Applications of Analysis, 2004 [Part 1 appeared ibid., 155--178 (1994; Zbl 1095.47027), see the preceding review.] The authors study dynamic bifurcation when the eigenvalue of the linearized problem has algebraic multiplicity one or two. As in the first part of the work for steady state bifurcations, their key idea is to analyze precisely the effect of the higher-order nondegenerate
Ma, Tian, Wang, Shouhong
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Journal of the Mathematical Society of Japan, 2019 Let f_t , where t is close to zero, be an analytic family of plane-to-plane mappings. There are presented effective methods of computing the number of cusps of f_t emanating from the origin and having positive/negative cusp degree.
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Journal of Mathematical Analysis and Applications, 2000 We consider dynamical systems depending on one or more real parameters, and assuming that, for some ``critical'' value of the parameters, the eigenvalues of the linear part are resonant, we discuss the existence -- under suitable hypotheses -- of a general class of bifurcating solutions in correspondence to this resonance.
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On the principal bifurcation branch of a third order nonlinear long-wave equation
, 2005 We study the principal bifurcation curve of a third order equation which describes the nonlinear evolution of several systems with a long--wavelength instability. We show that the main bifurcation branch can be derived from a variational principle.
Benguria R D +19 more
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Network topology drives population temporal variability in experimental habitat networks
Population Ecology, EarlyView.Habitat patches connected by dispersal pathways form habitat networks. We explored how network topology affects population outcomes in laboratory experiments using a model species (Daphnia carinata). Central habitat nodes in complex lattice networks exhibited lower temporal variability in population sizes, suggesting they support more stable ...
Yiwen Xu +3 more
wiley +1 more source
Global bifurcation for the Whitham equation
, 2013 We prove the existence of a global bifurcation branch of $2\pi$-periodic, smooth, traveling-wave solutions of the Whitham equation. It is shown that any subset of solutions in the global branch contains a sequence which converges uniformly to some ...
Ehrnstrom, Mats, Kalisch, Henrik
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Molecular Oncology, EarlyView.This study develops a semi‐supervised classifier integrating multi‐genomic data (1404 training/5893 validation samples) to improve homologous recombination deficiency (HRD) detection in breast cancer. Our method demonstrates prognostic value and predicts chemotherapy/PARP inhibitor sensitivity in HRD+ tumours.
Rong Zhu +12 more
wiley +1 more source
Bifurcation of Hyperbolic Planforms [PDF]
Journal of Nonlinear Science, 2011 Motivated by a model for the perception of textures by the visual cortex in primates, we analyse the bifurcation of periodic patterns for nonlinear equations describing the state of a system defined on the space of structure tensors, when these equations are further invariant with respect to the isometries of this space.
Chossat, Pascal +2 more
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FEBS Open Bio, EarlyView.We propose a context‐dependent model where the Duchenne muscular dystrophy (DMD) gene acts as a tumour suppressor in aggressive tumours and as an oncogene in less aggressive ones. We propose this model as a unified framework to explain the opposing survival associations with DMD expression and to guide experimental exploration of the dual role of DMD ...
Lee Machado +4 more
wiley +1 more source