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Wenxian Shen - Publications

Affiliations: 
Auburn University, Auburn, AL, United States 
Area:
Mathematics
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88 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Shen W, Shen Z. Existence, uniqueness and stability of transition fronts of nonlocal equations in time heterogeneous bistable media European Journal of Applied Mathematics. 31: 601-645. DOI: 10.1017/S0956792519000202  0.397
2020 Leenheer PD, Shen W, Zhang A. Persistence and extinction of nonlocal dispersal evolution equations in moving habitats Nonlinear Analysis-Real World Applications. 54: 103110. DOI: 10.1016/J.Nonrwa.2020.103110  0.344
2020 Issa TB, Shen W. Pointwise persistence in full chemotaxis models with logistic source on bounded heterogeneous environments Journal of Mathematical Analysis and Applications. 490: 124204. DOI: 10.1016/J.Jmaa.2020.124204  0.425
2020 Bao L, Shen W. Logistic type attraction-repulsion chemotaxis systems with a free boundary or unbounded boundary. II. Spreading-vanishing dichotomy in a domain with a free boundary Journal of Differential Equations. 269: 3551-3584. DOI: 10.1016/J.Jde.2020.03.004  0.308
2020 Salako RB, Shen W. Long Time Behavior of Random and Nonautonomous Fisher–KPP Equations: Part I—Stability of Equilibria and Spreading Speeds Journal of Dynamics and Differential Equations. 1-36. DOI: 10.1007/S10884-020-09847-2  0.471
2019 Salako RB, Shen W, Xue S. Can chemotaxis speed up or slow down the spatial spreading in parabolic-elliptic Keller-Segel systems with logistic source? Journal of Mathematical Biology. PMID 31324959 DOI: 10.1007/S00285-019-01400-0  0.341
2019 Kong L, Nguyen T, Shen W. Effects of localized spatial variations on the uniform persistence and spreading speeds of time periodic two species competition systems Communications On Pure and Applied Analysis. 18: 1613-1636. DOI: 10.3934/Cpaa.2019077  0.31
2019 Bao X, Shen W, Shen Z. Spreading speeds and traveling waves for space-time periodic nonlocal dispersal cooperative systems Communications On Pure and Applied Analysis. 18: 361-396. DOI: 10.3934/Cpaa.2019019  0.454
2019 Salako RB, Shen W. Long-time behavior of random and nonautonomous Fisher-KPP equations. Part II. Transition fronts Stochastics and Dynamics. 19: 1950046. DOI: 10.1142/S0219493719500461  0.414
2019 Shen W, Wang Y, Zhou D. Long-time behavior of almost periodically forced parabolic equations on the circle Journal of Differential Equations. 266: 1377-1413. DOI: 10.1016/J.Jde.2018.07.073  0.364
2019 Issa TB, Shen W. Uniqueness and Stability of Coexistence States in Two Species Models With/Without Chemotaxis on Bounded Heterogeneous Environments Journal of Dynamics and Differential Equations. 31: 1-34. DOI: 10.1007/S10884-018-9706-7  0.334
2019 Issa TB, Shen W. Persistence, Coexistence and Extinction in Two Species Chemotaxis Models on Bounded Heterogeneous Environments Journal of Dynamics and Differential Equations. 31: 1839-1871. DOI: 10.1007/S10884-018-9686-7  0.338
2019 Salako RB, Shen W. Global Classical Solutions, Stability of Constant Equilibria, and Spreading Speeds in Attraction–Repulsion Chemotaxis Systems with Logistic Source on $$\mathbb {R}^{N}$$ Journal of Dynamics and Differential Equations. 31: 1301-1325. DOI: 10.1007/S10884-017-9602-6  0.303
2018 Salako RB, Shen W. Parabolic–elliptic chemotaxis model with space–time-dependent logistic sources on ℝN. I. Persistence and asymptotic spreading Mathematical Models and Methods in Applied Sciences. 28: 2237-2273. DOI: 10.1142/S0218202518400146  0.351
2018 Salako RB, Shen W. Existence of traveling wave solutions of parabolic–parabolic chemotaxis systems Nonlinear Analysis-Real World Applications. 42: 93-119. DOI: 10.1016/J.Nonrwa.2017.12.004  0.365
2018 Salako RB, Shen W. Parabolic–elliptic chemotaxis model with space–time dependent logistic sources on RN. II. Existence, uniqueness, and stability of strictly positive entire solutions Journal of Mathematical Analysis and Applications. 464: 883-910. DOI: 10.1016/J.Jmaa.2018.04.034  0.334
2018 Bao X, Li W, Shen W, Wang Z. Spreading speeds and linear determinacy of time dependent diffusive cooperative/competitive systems Journal of Differential Equations. 265: 3048-3091. DOI: 10.1016/J.Jde.2018.05.003  0.378
2017 Gao J, Guo S, Shen W. Persistence and time periodic positive solutions of doubly nonlocal Fisher-KPP equations in time periodic and space heterogeneous media Discrete and Continuous Dynamical Systems-Series B. 22: 0-0. DOI: 10.3934/Dcdsb.2020199  0.506
2017 Shen W, Xie X. Spectral theory for nonlocal dispersal operators with time periodic indefinite weight functions and applications Discrete and Continuous Dynamical Systems-Series B. 22: 1023-1047. DOI: 10.3934/Dcdsb.2017051  0.362
2017 Salako RB, Shen W. Spreading speeds and traveling waves of a parabolic-elliptic chemotaxis system with logistic source on $\mathbb{R}^N$ Discrete and Continuous Dynamical Systems. 37: 6189-6225. DOI: 10.3934/Dcds.2017268  0.304
2017 Cao F, Shen W. Spreading speeds and transition fronts of lattice KPP equations in time heterogeneous media Discrete and Continuous Dynamical Systems. 37: 4697-4727. DOI: 10.3934/Dcds.2017202  0.473
2017 Issa TB, Shen W. Dynamics in Chemotaxis Models of Parabolic-Elliptic Type on Bounded Domain with Time and Space Dependent Logistic Sources Siam Journal On Applied Dynamical Systems. 16: 926-973. DOI: 10.1137/16M1092428  0.461
2017 Shen W. Stability of transition waves and positive entire solutions of Fisher-KPP equations with time and space dependence Nonlinearity. 30: 3466-3491. DOI: 10.1088/1361-6544/Aa7F08  0.472
2017 Salako RB, Shen W. Global existence and asymptotic behavior of classical solutions to a parabolic–elliptic chemotaxis system with logistic source on RN Journal of Differential Equations. 262: 5635-5690. DOI: 10.1016/J.Jde.2017.02.011  0.313
2017 Shen W, Shen Z. Regularity and stability of transition fronts in nonlocal equations with time heterogeneous ignition nonlinearity Journal of Differential Equations. 262: 3390-3430. DOI: 10.1016/J.Jde.2016.11.032  0.436
2017 Shen W, Shen Z. Transition fronts in time heterogeneous and random media of ignition type Journal of Differential Equations. 262: 454-485. DOI: 10.1016/J.Jde.2016.09.030  0.427
2016 Mierczyński J, Shen W. Formulas for generalized principal Lyapunov exponent for parabolic PDEs Discrete and Continuous Dynamical Systems - Series S. 9: 1189-1199. DOI: 10.3934/Dcdss.2016048  0.32
2016 Shen W, Shen Z. Transition fronts in nonlocal equations with time heterogeneous ignition nonlinearity Discrete and Continuous Dynamical Systems. 37: 1013-1037. DOI: 10.3934/Dcds.2017042  0.476
2016 Li F, Liang X, Shen W. Diffusive KPP equations with free boundaries in time almost periodic environments: I. spreading and vanishing dichotomy Discrete and Continuous Dynamical Systems- Series A. 36: 3317-3338. DOI: 10.3934/Dcds.2016.36.3317  0.462
2016 Shen W, Shen Z. Transition fronts in nonlocal Fisher-KPP equations in time heterogeneous media Communications On Pure and Applied Analysis. 15: 1193-1213. DOI: 10.3934/Cpaa.2016.15.1193  0.417
2016 Shen W, Shen Z. Stability, uniqueness and recurrence of generalized traveling waves in time heterogeneous media of ignition type Transactions of the American Mathematical Society. 369: 2573-2613. DOI: 10.1090/Tran/6726  0.33
2016 Shen W, Wang Y, Zhou D. Structure of ω-limit sets for almost-periodic parabolic equations on S1 with reflection symmetry Journal of Differential Equations. 261: 6633-6667. DOI: 10.1016/J.Jde.2016.08.048  0.339
2016 Li F, Liang X, Shen W. Diffusive KPP equations with free boundaries in time almost periodic environments: II. Spreading speeds and semi-wave solutions Journal of Differential Equations. 261: 2403-2445. DOI: 10.1016/J.Jde.2016.04.035  0.441
2016 Bao X, Li WT, Shen W. Traveling wave solutions of Lotka-Volterra competition systems with nonlocal dispersal in periodic habitats Journal of Differential Equations. 260: 8590-8637. DOI: 10.1016/J.Jde.2016.02.032  0.348
2016 Shen W, Shen Z. Regularity of Transition Fronts in Nonlocal Dispersal Evolution Equations Journal of Dynamics and Differential Equations. 1-32. DOI: 10.1007/S10884-016-9528-4  0.464
2016 Mierczyński J, Shen W. Principal Lyapunov Exponents and Principal Floquet Spaces of Positive Random Dynamical Systems. III. Parabolic Equations and Delay Systems Journal of Dynamics and Differential Equations. 28: 1039-1079. DOI: 10.1007/S10884-015-9436-Z  0.452
2015 Kong L, Rawal N, Shen W. Spreading Speeds and Linear Determinacy for Two Species Competition Systems with Nonlocal Dispersal in Periodic Habitats Mathematical Modelling of Natural Phenomena. 10: 113-141. DOI: 10.1051/Mmnp/201510609  0.407
2015 Shen W, Xie X. Approximations of random dispersal operators/equations by nonlocal dispersal operators/equations Journal of Differential Equations. 259: 7375-7405. DOI: 10.1016/J.Jde.2015.08.026  0.451
2014 Hetzer G, Shen W. Preface: Special issue on dissipativesystems and applications with emphasis on nonlocal or nonlinear diffusion problems Discrete and Continuous Dynamical Systems. 35. DOI: 10.3934/Dcds.2015.35.4I  0.374
2014 Rawal N, Shen W, Zhang A. Spreading Speeds and Traveling Waves of Nonlocal Monostable Equations in Time and Space Periodic Habitats Discrete and Continuous Dynamical Systems. 35: 1609-1640. DOI: 10.3934/Dcds.2015.35.1609  0.513
2014 Kong L, Shen W. Liouville Type Property and Spreading Speeds of KPP Equations in Periodic Media with Localized Spatial Inhomogeneity Journal of Dynamics and Differential Equations. 26: 181-215. DOI: 10.1007/S10884-014-9351-8  0.408
2013 Hetzer G, Shen W, Zhang A. Effects of spatial variations and dispersal strategies on principal eigenvalues of dispersal operators and spreading speeds of monostable equations Rocky Mountain Journal of Mathematics. 43: 489-513. DOI: 10.1216/Rmj-2013-43-2-489  0.366
2013 Shen W, Shen Z, Zhou S. Asymptotic Dynamics Of A Class Of Coupled Oscillators Driven By White Noises Stochastics and Dynamics. 13: 1350002. DOI: 10.1142/S0219493713500020  0.314
2013 Mierczyński J, Shen W. Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. I. General theory Transactions of the American Mathematical Society. 365: 5329-5365. DOI: 10.1090/S0002-9947-2013-05814-X  0.414
2013 Mierczyński J, Shen W. Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. II. Finite-dimensional systems Journal of Mathematical Analysis and Applications. 404: 438-458. DOI: 10.1016/J.Jmaa.2013.03.039  0.4
2012 Hetzer G, Madzvamuse A, Shen W. Characterization of turing diffusion-driven instability on evolving domains Discrete and Continuous Dynamical Systems. 32: 3975-4000. DOI: 10.3934/Dcds.2012.32.3975  0.324
2012 Hetzer G, Nguyen T, Shen W. Coexistence and extinction in the Volterra-Lotka competition model with nonlocal dispersal Communications On Pure and Applied Analysis. 11: 1699-1722. DOI: 10.3934/Cpaa.2012.11.1699  0.348
2012 Rawal N, Shen W. Criteria for the Existence and Lower Bounds of Principal Eigenvalues of Time Periodic Nonlocal Dispersal Operators and Applications Journal of Dynamics and Differential Equations. 24: 927-954. DOI: 10.1007/S10884-012-9276-Z  0.449
2011 Kong L, Shen W. Positive Stationary Solutions and Spreading Speeds of KPP Equations in Locally Spatially Inhomogeneous Media Methods and Applications of Analysis. 18: 427-456. DOI: 10.4310/Maa.2011.V18.N4.A5  0.431
2011 Han X, Shen W, Zhou S. Random attractors for stochastic lattice dynamical systems in weighted spaces Journal of Differential Equations. 250: 1235-1266. DOI: 10.1016/J.Jde.2010.10.018  0.354
2011 Shen W. Existence, uniqueness, and stability of generalized traveling waves in time dependent monostable equations Journal of Dynamics and Differential Equations. 23: 1-44. DOI: 10.1007/S10884-010-9200-3  0.474
2011 Mierczyński J, Shen W. Persistence in Forward Nonautonomous Competitive Systems of Parabolic Equations Journal of Dynamics and Differential Equations. 23: 551-571. DOI: 10.1007/S10884-010-9181-2  0.391
2010 Shen W. Variational principle for spreading speeds and generalized propagating speeds in time almost periodic and space periodic KPP models Transactions of the American Mathematical Society. 362: 5125-5168. DOI: 10.1090/S0002-9947-10-04950-0  0.451
2010 Shen W, Zhang A. Spreading speeds for monostable equations with nonlocal dispersal in space periodic habitats Journal of Differential Equations. 249: 747-795. DOI: 10.1016/J.Jde.2010.04.012  0.464
2010 Shen Z, Zhou S, Shen W. One-dimensional random attractor and rotation number of the stochastic damped sine-Gordon equation Journal of Differential Equations. 248: 1432-1457. DOI: 10.1016/J.Jde.2009.10.007  0.431
2010 Hetzer G, Nguyen T, Shen W. ${mathcal{A}}$ -Stability of Global Attractors of Competition Diffusion Systems Journal of Dynamics and Differential Equations. 22: 533-561. DOI: 10.1007/S10884-010-9187-9  0.356
2009 Kao C, Lou Y, Shen W. Random dispersal vs. non-local dispersal Discrete and Continuous Dynamical Systems. 26: 551-596. DOI: 10.3934/Dcds.2010.26.551  0.376
2009 Huang J, Shen W. Speeds of Spread and Propagation for KPP Models in Time Almost and Space Periodic Media Siam Journal On Applied Dynamical Systems. 8: 790-821. DOI: 10.1137/080723259  0.4
2009 Shen W. Spreading and generalized propagating speeds of discrete KPP models in time varying environments Frontiers of Mathematics in China. 4: 523-562. DOI: 10.1007/S11464-009-0032-6  0.403
2008 Mierczyński J, Shen W. Time averaging for nonautonomous/random linear parabolic equations Discrete and Continuous Dynamical Systems-Series B. 9: 661-699. DOI: 10.3934/Dcdsb.2008.9.661  0.436
2008 Hutson V, Shen W, Vickers GT. Spectral Theory for Nonlocal Dispersal with Periodic or Almost-Periodic Time Dependence Rocky Mountain Journal of Mathematics. 38: 1147-1175. DOI: 10.1216/Rmj-2008-38-4-1147  0.32
2008 Shen W, Wang Y. Carrying simplices in nonautonomous and random competitive Kolmogorov systems Journal of Differential Equations. 245: 1-29. DOI: 10.1016/J.Jde.2008.03.024  0.33
2007 Shen W. Global attractor and rotation number of a class of nonlinear noisy oscillators Discrete and Continuous Dynamical Systems. 18: 597-611. DOI: 10.3934/Dcds.2007.18.597  0.366
2007 Shen W, Vickers GT. Spectral theory for general nonautonomous/random dispersal evolution operators Journal of Differential Equations. 235: 262-297. DOI: 10.1016/J.Jde.2006.12.015  0.42
2004 Hetzer G, Shen W. Two species competition with an inhibitor involved Discrete and Continuous Dynamical Systems. 12: 39-57. DOI: 10.3934/Dcds.2005.12.39  0.335
2004 Mierczyński J, Shen W. The Faber--Krahn inequality for random/nonautonomous parabolic equations Communications On Pure and Applied Analysis. 4: 101-114. DOI: 10.3934/Cpaa.2005.4.101  0.383
2004 Mierczyński J, Shen W, Zhao X. Uniform persistence for nonautonomous and random parabolic Kolmogorov systems Journal of Differential Equations. 204: 471-510. DOI: 10.1016/J.Jde.2004.02.014  0.354
2004 Shen W. Traveling Waves in Diffusive Random Media Journal of Dynamics and Differential Equations. 16: 1011-1060. DOI: 10.1007/S10884-004-7832-X  0.384
2004 Mierczyński J, Shen W. Lyapunov exponents and asymptotic dynamics in random Kolmogorov models Journal of Evolution Equations. 4: 371-390. DOI: 10.1007/S00028-004-0160-0  0.378
2003 Mierczyński J, Shen W. Exponential separation and principal Lyapunov exponent/spectrum for random/nonautonomous parabolic equations Journal of Differential Equations. 191: 175-205. DOI: 10.1016/S0022-0396(03)00016-0  0.465
2003 Shen W. Dynamics in coupled oscillators with recurrent/random forcing, a PDE approach Journal of Mathematical Analysis and Applications. 288: 586-605. DOI: 10.1016/J.Jmaa.2003.09.014  0.39
2002 Hetzer G, Shen W. Uniform Persistence, Coexistence, And Extinction In Almost Periodic/Nonautonomous Competition Diffusion Systems ∗ Siam Journal On Mathematical Analysis. 34: 204-227. DOI: 10.1137/S0036141001390695  0.454
2002 Hetzer G, Shen W, Zhu S. Asymptotic Behavior of Positive Solutions of Random and Stochastic Parabolic Equations of Fisher and Kolmogorov Types Journal of Dynamics and Differential Equations. 14: 139-188. DOI: 10.1023/A:1012932212645  0.436
2001 Hetzer G, Shen W. Convergence in Almost Periodic Competition Diffusion Systems Journal of Mathematical Analysis and Applications. 262: 307-338. DOI: 10.1006/Jmaa.2001.7582  0.41
2001 Shen W. Dynamical Systems and Traveling Waves in Almost Periodic Structures Journal of Differential Equations. 169: 493-548. DOI: 10.1006/Jdeq.2000.3906  0.411
1999 Hsu CH, Lin S, Shen W. Traveling waves in cellular neural networks International Journal of Bifurcation and Chaos. 9: 1307-1319. DOI: 10.1142/S0218127499000912  0.324
1999 Shen W. Traveling Waves in Time Almost Periodic Structures Governed by Bistable Nonlinearities: II. Existence Journal of Differential Equations. 159: 55-101. DOI: 10.1006/Jdeq.1999.3652  0.495
1999 Shen W. Traveling Waves in Time Almost Periodic Structures Governed by Bistable Nonlinearities: I. Stability and Uniqueness Journal of Differential Equations. 159: 1-54. DOI: 10.1006/Jdeq.1999.3651  0.491
1998 Shen W, Yi Y. Convergence in almost periodic Fisher and Kolmogorov models Journal of Mathematical Biology. 37: 84-102. DOI: 10.1007/S002850050121  0.451
1998 Chow S, Mallet-Paret J, Shen W. Traveling Waves in Lattice Dynamical Systems Journal of Differential Equations. 149: 248-291. DOI: 10.1006/Jdeq.1998.3478  0.472
1996 Afraimovich VS, Chow S, Shen W. HYPERBOLIC HOMOCLINIC POINTS OF ℤd-ACTIONS IN LATTICE DYNAMICAL SYSTEMS International Journal of Bifurcation and Chaos. 6: 1059-1075. DOI: 10.1142/S0218127496000576  0.411
1996 Shen W. Lifted lattices, hyperbolic structures, and topological disorders in coupled map lattices Siam Journal On Applied Mathematics. 56: 1379-1399. DOI: 10.1137/S0036139995282670  0.367
1996 Shen W, Yi Y. Ergodicity of Minimal Sets in Scalar Parabolic Equations Journal of Dynamics and Differential Equations. 8: 299-323. DOI: 10.1007/Bf02218894  0.347
1995 Chow S, Shen W. Dynamics in a discrete Nagumo equation: spatial topological chaos Siam Journal On Applied Mathematics. 55: 1764-1781. DOI: 10.1137/S0036139994261757  0.416
1995 Shen W, Yi Y. Asymptotic Almost Periodicity of Scalar Parabolic Equations with Almost Periodic Time Dependence Journal of Differential Equations. 122: 373-397. DOI: 10.1006/Jdeq.1995.1152  0.436
1995 Shen W, Yi Y. Dynamics of Almost Periodic Scalar Parabolic Equations Journal of Differential Equations. 122: 114-136. DOI: 10.1006/Jdeq.1995.1141  0.403
1994 Chow S, Shen W. A Free Boundary Problem Related to Condensed Two-Phase Combustion. Part I. Semigroup Journal of Differential Equations. 108: 342-389. DOI: 10.1006/Jdeq.1994.1038  0.442
1990 Qian M, Shen W, Zhang J. Dynamical behavior in coupled systems of J-J type☆ Journal of Differential Equations. 88: 175-212. DOI: 10.1016/0022-0396(90)90114-5  0.331
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