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  1. 641
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    Exponential Stability of Coupled Systems on Networks with Mixed Delays and Reaction-Diffusion Terms by Wenxue Li, Tianrui Chen, Ke Wang

    Published 2014-01-01
    “…This paper is concerned with the stability analysis issue for coupled systems on networks with mixed delays and reaction-diffusion terms (CSNMRs). By employing Lyapunov method and Kirchhoff's Theorem in graph theory, a systematic method is proposed to guarantee exponential stability of CSNMRs. …”
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    Mechanisms of Diffusion for Conditional Cash Transfer Programs in Latin America. The Chilean Case by Osorio Gonnet, Cecilia

    Published 2015-09-01
    “…The academic literature identifies diverse mechanisms of diffusion to understand the logic behind the process, however more disussion is still required about the various aspects of the diffusion process and how to treat them in empirical analysis. …”
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  6. 646

    Influence of the Methane–Zeolite a Interaction Potential on the Concentration Dependence of Self-Diffusivity by Chaitanya A. Krishna, Subramanian Yashonath, Andreas Schüring, Siegfried Fritzsche, Jörg Kärger

    Published 2011-06-01
    “…Studies on the diffusion of methane in a zeolite structure type LTA (as per IZA nomenclature) have indicated that different types of methane–zeolite potentials exist in the literature in which methane is treated within the united-atom model. …”
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  7. 647
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    Nonlinear Instability for a Leslie-Gower Predator-Prey Model with Cross Diffusion by Lina Zhang, Shengmao Fu

    Published 2013-01-01
    “…A rigorous mathematical characterization for early-stage spatial and temporal patterns formation in a Leslie-Gower predator-prey model with cross diffusion is investigated. Given any general perturbation near an unstable constant equilibrium, we prove that its nonlinear evolution is dominated by the corresponding linear dynamics along a fixed finite number of the fastest growing modes.…”
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  9. 649

    A cell structure implementation of the multigrid method for the two-dimensional diffusion equation by Yongho Choi, Youngjin Hwang, Soobin Kwak, Seokjun Ham, Jyoti, Hyundong Kim, Junseok Kim

    Published 2025-01-01
    “…Some examples include the reaction–diffusion equations, the convection–diffusion equations, and others. …”
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  10. 650

    Instability Induced by Cross-Diffusion in a Predator-Prey Model with Sex Structure by Shengmao Fu, Lina Zhang

    Published 2012-01-01
    “…In this paper, we consider a cross-diffusion predator-prey model with sex structure. We prove that cross-diffusion can destabilize a uniform positive equilibrium which is stable for the ODE system and for the weakly coupled reaction-diffusion system. …”
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  11. 651

    Numerical Simulation and Symmetry Reduction of a Two-Component Reaction-Diffusion System by Jina Li, Xuehui Ji

    Published 2020-01-01
    “…In this paper, the symmetry classification and symmetry reduction of a two-component reaction-diffusion system are investigated, the reaction-diffusion system can be reduced to system of ordinary differential equations, and the solutions and numerical simulation will be showed by examples.…”
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  12. 652

    Stability of Stochastic Reaction-Diffusion Recurrent Neural Networks with Unbounded Distributed Delays by Chuangxia Huang, Xinsong Yang, Yigang He, Lehua Huang

    Published 2011-01-01
    “…Stability of reaction-diffusion recurrent neural networks (RNNs) with continuously distributed delays and stochastic influence are considered. …”
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  13. 653

    Global Behavior of Solutions in a Predator-Prey Cross-Diffusion Model with Cannibalism by Meijun Chen, Shengmao Fu, Xiaoli Yang

    Published 2020-01-01
    “…The global asymptotic behavior of solutions in a cross-diffusive predator-prey model with cannibalism is studied in this paper. …”
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  14. 654

    Nonparametric Range-Based Double Smoothing Spot Volatility Estimation for Diffusion Models by Jingwei Cai

    Published 2020-01-01
    “…We consider nonparametric spot volatility estimation for diffusion models with discrete high frequency observations. …”
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  15. 655

    Diffusion tensor imaging in peroneal neuropathy: a prospective, single-centre study by Robin Lemmens, Anaïs Van Hoylandt, Tom Theys, Christophe Oosterbos, Ahmed M Radwan, Stefan Sunaert, Sophie Hoornaert

    Published 2025-01-01
    “…We aim to establish reference values for DTI metrics of the healthy peroneal nerve and to evaluate differences in DTI metrics between patients and healthy controls.Methods Diffusion-weighted images (DWI) from 22 pathological nerves, 14 asymptomatic patients’ nerves and 65 healthy peroneal nerves were processed for quantitative assessment of fractional anisotropy (FA), radial diffusivity (RD), axial diffusivity and mean diffusivity. …”
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  16. 656

    Green’s Functions on Various Time Scales for the Time-Fractional Reaction-Diffusion Equation by Alexey Zhokh, Peter Strizhak

    Published 2023-01-01
    “…The time-fractional diffusion equation coupled with a first-order irreversible reaction is investigated by employing integral transforms. …”
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