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Applicable Analysis
An International Journal
Volume 98, 2019 - Issue 4
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Articles

Accelerated nonlocal nonsymmetric dispersion for monostable equations on the real line

Dmitri FinkelshteinDepartment of Mathematics, Swansea University, Swansea, UK.Correspondence[email protected]
ORCID Iconhttp://orcid.org/0000-0001-7136-9399View further author information
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Pasha TkachovFakultät für Mathematik, Universität Bielefeld, Bielefeld, Germany.ORCID Iconhttp://orcid.org/0000-0002-6773-4506View further author information
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Pages 756-780 | Received 30 Jun 2017, Accepted 31 Oct 2017, Published online: 13 Nov 2017

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Dmitri Finkelshtein. (2022) Extinction threshold in the spatial stochastic logistic model: space homogeneous case. Applicable Analysis 101:7, pages 2726-2753.
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Dmitri Finkelshtein, Yuri Kondratiev & Pasha Tkachov. (2021) Doubly nonlocal Fisher–KPP equation: front propagation. Applicable Analysis 100:7, pages 1373-1396.
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Articles from other publishers (20)

Arnaud Ducrot & Zhucheng Jin. (2023) Spreading Properties for Non-autonomous Fisher–KPP Equations with Non-local Diffusion. Journal of Nonlinear Science 33:6.
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Yihong Du & Wenjie Ni. (2023) Exact rate of accelerated propagation in the Fisher-KPP equation with nonlocal diffusion and free boundaries. Mathematische Annalen.
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Zhi‐An Wang & Wen‐Bing Xu. (2022) Acceleration of propagation in a chemotaxis‐growth system with slowly decaying initial data. Bulletin of the London Mathematical Society 55:1, pages 447-469.
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Yihong Du & Wenjie Ni. (2022) The High Dimensional Fisher-KPP Nonlocal Diffusion Equation with Free Boundary and Radial Symmetry, Part 1. SIAM Journal on Mathematical Analysis 54:3, pages 3930-3973.
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Yihong Du, Wan-Tong Li, Wenjie Ni & Meng Zhao. (2022) Finite or Infinite Spreading Speed of an Epidemic Model with Free Boundary and Double Nonlocal Effects. Journal of Dynamics and Differential Equations.
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Ru Hou & Wen-Bing Xu. (2022) The Traveling Wave Solutions in a Mixed-Diffusion Epidemic Model. Fractal and Fractional 6:4, pages 217.
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Yihong Du. (2022) Propagation and reaction–diffusion models with free boundaries. Bulletin of Mathematical Sciences 12:01.
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Yihong Du & Wenjie Ni. (2022) The Fisher-KPP nonlocal diffusion equation with free boundary and radial symmetry in $ {\mathbb R}^3 $. Mathematics in Engineering 5:2, pages 1-26.
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Jia-Bing Wang, Wan-Tong Li, Fang-Di Dong & Shao-Xia Qiao. (2022) Recent developments on spatial propagation for diffusion equations in shifting environments. Discrete and Continuous Dynamical Systems - B 27:9, pages 5101.
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Mohammed Mesk & Ali Moussaoui. (2022) On an upper bound for the spreading speed. Discrete and Continuous Dynamical Systems - B 27:7, pages 3897.
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Kamil Kaleta & Daniel Ponikowski. (2022) On directional convolution equivalent densities. Electronic Journal of Probability 27:none.
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Yihong Du & Wenjie Ni. (2022) Spreading speed for some cooperative systems with nonlocal diffusion and free boundaries, part 1: Semi-wave and a threshold condition. Journal of Differential Equations 308, pages 369-420.
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Yihong Du, Fang Li & Maolin Zhou. (2021) Semi-wave and spreading speed of the nonlocal Fisher-KPP equation with free boundaries. Journal de Mathématiques Pures et Appliquées 154, pages 30-66.
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Wen-Bing Xu, Wan-Tong Li & Shigui Ruan. (2021) Spatial propagation in nonlocal dispersal Fisher-KPP equations. Journal of Functional Analysis 280:10, pages 108957.
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Yihong Du. (2020) Propagation, diffusion and free boundaries. SN Partial Differential Equations and Applications 1:5.
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Viktor Bezborodov, Luca Di Persio, Tyll Krueger & Pasha Tkachov. (2020) Spatial growth processes with long range dispersion: Microscopics, mesoscopics and discrepancy in spread rate. The Annals of Applied Probability 30:3.
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Wen-Bing Xu, Wan-Tong Li & Guo Lin. (2020) Nonlocal dispersal cooperative systems: Acceleration propagation among species. Journal of Differential Equations 268:3, pages 1081-1105.
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Dmitri Finkelshtein, Yuri Kondratiev & Pasha Tkachov. (2019) Accelerated front propagation for monostable equations with nonlocal diffusion: multidimensional case. Journal of Elliptic and Parabolic Equations 5:2, pages 423-471.
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Dmitri Finkelshtein, Yuri Kondratiev & Pasha Tkachov. (2019) Doubly nonlocal Fisher–KPP equation: Speeds and uniqueness of traveling waves. Journal of Mathematical Analysis and Applications 475:1, pages 94-122.
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Dmitri Finkelshtein & Pasha Tkachov. (2018) Kesten's bound for subexponential densities on the real line and its multi-dimensional analogues. Advances in Applied Probability 50:2, pages 373-395.
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