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Variational principle for spreading speeds and generalized propagating speeds in time almost periodic and space periodic KPP models

Transactions of the American Mathematical Society, 2010-10, Vol.362 (10), p.5125-5168

SHEN, WENXIAN

2010

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Existence, Uniqueness, and Stability of Generalized Traveling Waves in Time Dependent Monostable Equations

Journal of dynamics and differential equations, 2011-03, Vol.23 (1), p.1-44

Shen, Wenxian

2011

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Stability, uniqueness and recurrence of generalized traveling waves in time heterogeneous media of ignition type

Transactions of the American Mathematical Society, 2017-04, Vol.369 (4), p.2573-2613

2017

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Criteria for the existence of principal eigenvalues of time periodic cooperative linear systems with nonlocal dispersal

Proceedings of the American Mathematical Society, 2017-07, Vol.145 (7), p.2881-2894

2017

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Forced Waves of Parabolic–Elliptic Keller–Segel Models in Shifting Environments

Journal of dynamics and differential equations, 2022-12, Vol.34 (4), p.3057-3088

2022

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Transition fronts in time heterogeneous and random media of ignition type

Journal of Differential Equations, 2017-01, Vol.262 (1), p.454-485

2017

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Population dynamics under climate change: persistence criterion and effects of fluctuations

Journal of mathematical biology, 2022-03, Vol.84 (4), p.30-30, Article 30

2022

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Stationary solutions and spreading speeds of nonlocal monostable equations in space periodic habitats

Proceedings of the American Mathematical Society, 2012-05, Vol.140 (5), p.1681-1696

2012

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Long Time Behavior of Random and Nonautonomous Fisher–KPP Equations: Part I—Stability of Equilibria and Spreading Speeds

Journal of dynamics and differential equations, 2021-06, Vol.33 (2), p.1035-1070

2021

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Parabolic–Elliptic Chemotaxis Model with Space–Time Dependent Logistic Sources on RN. III: Transition Fronts

Journal of dynamics and differential equations, 2022, Vol.34 (1), p.209-238

2022

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Criteria for the Existence and Lower Bounds of Principal Eigenvalues of Time Periodic Nonlocal Dispersal Operators and Applications

Journal of dynamics and differential equations, 2012-12, Vol.24 (4), p.927-954

2012

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Almost automorphically-forced flows on S1 or ℝ in one-dimensional almost periodic semilinear heat equations

Science China. Mathematics, 2022, Vol.65 (9), p.1875-1894

2022

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EXISTENCE OF GENERALIZED TRAVELING WAVES IN TIME RECURRENT AND SPACE PERIODIC MONOSTABLE EQUATIONS

Journal of applied analysis and computation, 2011, Vol.1 (1), p.69-93

Wenxian Shen

2011

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Spreading speeds and traveling waves of nonlocal monostable equations in time and space periodic habitats

Discrete and continuous dynamical systems. Series A, 2015, Vol.35 (4), p.1609-1640

2015

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Almost Automorphically and Almost Periodically Forced Circle Flows of Almost Periodic Parabolic Equations on S1

Journal of dynamics and differential equations, 2020, Vol.32 (4), p.1687-1729

2020

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Traveling wave solutions for fully parabolic Keller-Segel chemotaxis systems with a logistic source

Electronic journal of differential equations, 2020-05, Vol.2020 (53), p.1-18

2020

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Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. I. General theory

Transactions of the American Mathematical Society, 2013-10, Vol.365 (10), p.5329-5365

2013

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Stability of transition waves and positive entire solutions of Fisher-KPP equations with time and space dependence

Nonlinearity, 2017-09, Vol.30 (9), p.3466-3491

Shen, Wenxian

2017

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Corrigendum: Global existence and asymptotic behavior of classical solutions to a parabolic–elliptic chemotaxis system with logistic source on R N [J. Differ. Equ. 262 (2017) 5635–5690]

Journal of Differential Equations, 2023-12, Vol.376, p.773-775

2023

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Spreading speeds for monostable equations with nonlocal dispersal in space periodic habitats

Journal of Differential Equations, 2010-08, Vol.249 (4), p.747-795

2010

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Electrocaloric devices part I: Analytical solution of one-dimensional transient heat conduction in a multilayer electrocaloric system

Journal of advanced dielectrics, 2020-12, Vol.10 (6), p.2050028-2050028-10

2020

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Asymptotic behavior of the generalized principal eigenvalues of nonlocal dispersal operators and applications

Journal of Differential Equations, 2024-12, Vol.413, p.288-328

2024

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Corrigendum to: “Two-species chemotaxis-competition system with singular sensitivity: Global existence, boundedness, and persistence” [J. Differ. Equ. 355 (2023) 248–295]

Journal of Differential Equations, 2024-08, Vol.401, p.683-692

2024

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Speeds of Spread and Propagation for KPP Models in Time Almost and Space Periodic Media

SIAM journal on applied dynamical systems, 2009-01, Vol.8 (3), p.790-821

2009

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Two-species chemotaxis-competition system with singular sensitivity: Global existence, boundedness, and persistence

Journal of Differential Equations, 2023-05, Vol.355, p.248-295

2023

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Variational principle for spreading speeds and generalized propagating speeds in time almost periodic and space periodic KPP models

Existence, Uniqueness, and Stability of Generalized Traveling Waves in Time Dependent Monostable Equations

Stability, uniqueness and recurrence of generalized traveling waves in time heterogeneous media of ignition type

Criteria for the existence of principal eigenvalues of time periodic cooperative linear systems with nonlocal dispersal

Forced Waves of Parabolic–Elliptic Keller–Segel Models in Shifting Environments

Transition fronts in time heterogeneous and random media of ignition type

Population dynamics under climate change: persistence criterion and effects of fluctuations

Stationary solutions and spreading speeds of nonlocal monostable equations in space periodic habitats

Long Time Behavior of Random and Nonautonomous Fisher–KPP Equations: Part I—Stability of Equilibria and Spreading Speeds

Parabolic–Elliptic Chemotaxis Model with Space–Time Dependent Logistic Sources on RN. III: Transition Fronts

Criteria for the Existence and Lower Bounds of Principal Eigenvalues of Time Periodic Nonlocal Dispersal Operators and Applications

Almost automorphically-forced flows on S1 or ℝ in one-dimensional almost periodic semilinear heat equations

EXISTENCE OF GENERALIZED TRAVELING WAVES IN TIME RECURRENT AND SPACE PERIODIC MONOSTABLE EQUATIONS

Spreading speeds and traveling waves of nonlocal monostable equations in time and space periodic habitats

Almost Automorphically and Almost Periodically Forced Circle Flows of Almost Periodic Parabolic Equations on S1

Traveling wave solutions for fully parabolic Keller-Segel chemotaxis systems with a logistic source

Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. I. General theory

Stability of transition waves and positive entire solutions of Fisher-KPP equations with time and space dependence

Corrigendum: Global existence and asymptotic behavior of classical solutions to a parabolic–elliptic chemotaxis system with logistic source on R N [J. Differ. Equ. 262 (2017) 5635–5690]

Spreading speeds for monostable equations with nonlocal dispersal in space periodic habitats

Electrocaloric devices part I: Analytical solution of one-dimensional transient heat conduction in a multilayer electrocaloric system

Asymptotic behavior of the generalized principal eigenvalues of nonlocal dispersal operators and applications

Corrigendum to: “Two-species chemotaxis-competition system with singular sensitivity: Global existence, boundedness, and persistence” [J. Differ. Equ. 355 (2023) 248–295]

Speeds of Spread and Propagation for KPP Models in Time Almost and Space Periodic Media

Two-species chemotaxis-competition system with singular sensitivity: Global existence, boundedness, and persistence

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