Bao, Lianzhang; Shen, Wenxian Vanishing-spreading dichotomy in a two-species chemotaxis competition system with a free boundary. (English) Zbl 07781527 J. Dyn. Differ. Equations 35, No. 4, 2905-2938 (2023). Reviewer: Takashi Suzuki (Osaka) MSC: 35R35 35J25 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{L. Bao} and \textit{W. Shen}, J. Dyn. Differ. Equations 35, No. 4, 2905--2938 (2023; Zbl 07781527) Full Text: DOI arXiv
Zhou, Ju The Stokes limit in a three-dimensional Keller-Segel-Navier-Stokes system. (English) Zbl 1523.35030 J. Dyn. Differ. Equations 35, No. 3, 2157-2184 (2023). Reviewer: Yuanyuan Ke (Beijing) MSC: 35B30 35K51 35K59 35Q35 92C17 PDFBibTeX XMLCite \textit{J. Zhou}, J. Dyn. Differ. Equations 35, No. 3, 2157--2184 (2023; Zbl 1523.35030) Full Text: DOI
Shen, Wenxian; Xue, Shuwen Forced waves of parabolic-elliptic Keller-Segel models in shifting environments. (English) Zbl 1503.35058 J. Dyn. Differ. Equations 34, No. 4, 3057-3088 (2022). MSC: 35C07 35K45 35K59 92C17 PDFBibTeX XMLCite \textit{W. Shen} and \textit{S. Xue}, J. Dyn. Differ. Equations 34, No. 4, 3057--3088 (2022; Zbl 1503.35058) Full Text: DOI arXiv
Chen, Qiaoling; Li, Fengquan; Teng, Zhidong; Wang, Feng Global dynamics and asymptotic spreading speeds for a partially degenerate epidemic model with time delay and free boundaries. (English) Zbl 1487.35456 J. Dyn. Differ. Equations 34, No. 2, 1209-1236 (2022). MSC: 35R35 35B40 35K51 35K58 35R10 92D30 PDFBibTeX XMLCite \textit{Q. Chen} et al., J. Dyn. Differ. Equations 34, No. 2, 1209--1236 (2022; Zbl 1487.35456) Full Text: DOI
Salako, Rachidi B.; Shen, Wenxian Parabolic-elliptic chemotaxis model with space-time dependent logistic sources on \(\mathbb{R}^N\). III: Transition fronts. (English) Zbl 1485.35061 J. Dyn. Differ. Equations 34, No. 1, 209-238 (2022). MSC: 35B40 35K45 35K57 35K59 92C17 PDFBibTeX XMLCite \textit{R. B. Salako} and \textit{W. Shen}, J. Dyn. Differ. Equations 34, No. 1, 209--238 (2022; Zbl 1485.35061) Full Text: DOI arXiv
Salako, Rachidi B.; Shen, Wenxian Long time behavior of random and nonautonomous Fisher-KPP equations. I: Stability of equilibria and spreading speeds. (English) Zbl 1464.35038 J. Dyn. Differ. Equations 33, No. 2, 1035-1070 (2021). MSC: 35B40 35K15 35K57 35Q92 35R60 PDFBibTeX XMLCite \textit{R. B. Salako} and \textit{W. Shen}, J. Dyn. Differ. Equations 33, No. 2, 1035--1070 (2021; Zbl 1464.35038) Full Text: DOI arXiv
Phan, Chi; You, Yuncheng Random attractor for stochastic Hindmarsh-Rose equations with additive noise. (English) Zbl 1458.35490 J. Dyn. Differ. Equations 33, No. 1, 489-510 (2021). MSC: 35R60 35B41 35K55 37L30 37L55 37N25 60H15 92B20 PDFBibTeX XMLCite \textit{C. Phan} and \textit{Y. You}, J. Dyn. Differ. Equations 33, No. 1, 489--510 (2021; Zbl 1458.35490) Full Text: DOI arXiv
Baumstark, Simon; Schneider, Guido; Schratz, Katharina; Zimmermann, Dominik Effective slow dynamics models for a class of dispersive systems. (English) Zbl 1452.35014 J. Dyn. Differ. Equations 32, No. 4, 1867-1899 (2020). MSC: 35B25 35K90 35L90 35L10 PDFBibTeX XMLCite \textit{S. Baumstark} et al., J. Dyn. Differ. Equations 32, No. 4, 1867--1899 (2020; Zbl 1452.35014) Full Text: DOI Link
Volpert, V. Existence of waves for a bistable reaction-diffusion system with delay. (English) Zbl 1442.35213 J. Dyn. Differ. Equations 32, No. 2, 615-629 (2020). MSC: 35K57 35K40 35C07 35Q92 PDFBibTeX XMLCite \textit{V. Volpert}, J. Dyn. Differ. Equations 32, No. 2, 615--629 (2020; Zbl 1442.35213) Full Text: DOI
Issa, Tahir Bachar; Shen, Wenxian Persistence, coexistence and extinction in two species chemotaxis models on bounded heterogeneous environments. (English) Zbl 1439.35491 J. Dyn. Differ. Equations 31, No. 4, 1839-1871 (2019). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35B40 92C17 35K57 35K51 PDFBibTeX XMLCite \textit{T. B. Issa} and \textit{W. Shen}, J. Dyn. Differ. Equations 31, No. 4, 1839--1871 (2019; Zbl 1439.35491) Full Text: DOI arXiv
Salako, Rachidi B.; Shen, Wenxian Global classical solutions, stability of constant equilibria, and spreading speeds in attraction-repulsion chemotaxis systems with logistic source on \(\mathbb{R}^{N}\). (English) Zbl 1426.35035 J. Dyn. Differ. Equations 31, No. 3, 1301-1325 (2019). Reviewer: Piotr Biler (Wrocław) MSC: 35B40 35Q92 92C17 35K55 PDFBibTeX XMLCite \textit{R. B. Salako} and \textit{W. Shen}, J. Dyn. Differ. Equations 31, No. 3, 1301--1325 (2019; Zbl 1426.35035) Full Text: DOI arXiv
Ducrot, Arnaud; Guo, Jong-Shenq; Shimojo, Masahiko Behaviors of solutions for a singular prey-predator model and its shadow system. (English) Zbl 1400.35159 J. Dyn. Differ. Equations 30, No. 3, 1063-1079 (2018). Reviewer: E. Ahmed (Mansoura) MSC: 35K51 35Q92 35K55 35K57 35K67 92D25 PDFBibTeX XMLCite \textit{A. Ducrot} et al., J. Dyn. Differ. Equations 30, No. 3, 1063--1079 (2018; Zbl 1400.35159) Full Text: DOI
Latos, Evangelos; Morita, Yoshihisa; Suzuki, Takashi Stability and spectral comparison of a reaction-diffusion system with mass conservation. (English) Zbl 1395.35111 J. Dyn. Differ. Equations 30, No. 2, 823-844 (2018). Reviewer: Marius Ghergu (Dublin) MSC: 35K45 92C37 35Q92 PDFBibTeX XMLCite \textit{E. Latos} et al., J. Dyn. Differ. Equations 30, No. 2, 823--844 (2018; Zbl 1395.35111) Full Text: DOI
Vakulenko, Sergey Complex attractors and patterns in reaction-diffusion systems. (English) Zbl 1406.35051 J. Dyn. Differ. Equations 30, No. 1, 175-207 (2018). Reviewer: Anna Ghazaryan (Oxford, OH) MSC: 35B36 37L25 35K57 35K55 35B40 35B42 35B30 35B41 35B25 PDFBibTeX XMLCite \textit{S. Vakulenko}, J. Dyn. Differ. Equations 30, No. 1, 175--207 (2018; Zbl 1406.35051) Full Text: DOI
Bao, Xiong-Xiong; Li, Wan-Tong; Wang, Zhi-Cheng Time periodic traveling curved fronts in the periodic Lotka-Volterra competition-diffusion system. (English) Zbl 1374.35408 J. Dyn. Differ. Equations 29, No. 3, 981-1016 (2017). MSC: 35Q92 35K57 35C07 35B10 35K40 35B35 PDFBibTeX XMLCite \textit{X.-X. Bao} et al., J. Dyn. Differ. Equations 29, No. 3, 981--1016 (2017; Zbl 1374.35408) Full Text: DOI
Howard, Peter Linear stability for transition front solutions in multidimensional Cahn-Hilliard systems. (English) Zbl 1516.35059 J. Dyn. Differ. Equations 29, No. 3, 895-955 (2017). MSC: 35B35 35K30 35K59 PDFBibTeX XMLCite \textit{P. Howard}, J. Dyn. Differ. Equations 29, No. 3, 895--955 (2017; Zbl 1516.35059) Full Text: DOI
Zhu, RongChan; Zhu, XiangChan Random attractor associated with the quasi-geostrophic equation. (English) Zbl 1368.60069 J. Dyn. Differ. Equations 29, No. 1, 289-322 (2017). Reviewer: Jan Pospíšil (Plzeň) MSC: 60H15 35R60 37L55 35K55 35Q86 PDFBibTeX XMLCite \textit{R. Zhu} and \textit{X. Zhu}, J. Dyn. Differ. Equations 29, No. 1, 289--322 (2017; Zbl 1368.60069) Full Text: DOI arXiv
Mierczyński, Janusz; Shen, Wenxian Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. III. parabolic equations and delay systems. (English) Zbl 1367.37050 J. Dyn. Differ. Equations 28, No. 3-4, 1039-1079 (2016). MSC: 37H15 35R60 37L55 34D08 34K50 PDFBibTeX XMLCite \textit{J. Mierczyński} and \textit{W. Shen}, J. Dyn. Differ. Equations 28, No. 3--4, 1039--1079 (2016; Zbl 1367.37050) Full Text: DOI arXiv
Tu, Junyi Global attractors and robustness of the Boissonade system. (English) Zbl 1311.37058 J. Dyn. Differ. Equations 27, No. 1, 187-211 (2015). Reviewer: Matheus Cheque Bortolan (Lima) MSC: 37L30 35B40 35B41 35K55 35K57 80A32 92B05 PDFBibTeX XMLCite \textit{J. Tu}, J. Dyn. Differ. Equations 27, No. 1, 187--211 (2015; Zbl 1311.37058) Full Text: DOI
Wang, Mingxin; Zhao, Jingfu Free boundary problems for a Lotka-Volterra competition system. (English) Zbl 1304.35783 J. Dyn. Differ. Equations 26, No. 3, 655-672 (2014). MSC: 35R35 35K51 35B40 92D25 PDFBibTeX XMLCite \textit{M. Wang} and \textit{J. Zhao}, J. Dyn. Differ. Equations 26, No. 3, 655--672 (2014; Zbl 1304.35783) Full Text: DOI arXiv
Lin, Guo; Ruan, Shigui Traveling wave solutions for delayed reaction-diffusion systems and applications to diffusive Lotka-Volterra competition models with distributed delays. (English) Zbl 1311.35052 J. Dyn. Differ. Equations 26, No. 3, 583-605 (2014). Reviewer: Peixuan Weng (Guangzhou) MSC: 35C07 35K57 92D25 35K40 PDFBibTeX XMLCite \textit{G. Lin} and \textit{S. Ruan}, J. Dyn. Differ. Equations 26, No. 3, 583--605 (2014; Zbl 1311.35052) Full Text: DOI arXiv
Guo, Jong-Shenq; Wu, Chang-Hong On a free boundary problem for a two-species weak competition system. (English) Zbl 1263.35132 J. Dyn. Differ. Equations 24, No. 4, 873-895 (2012). Reviewer: Sebastian Anita (Iaşi) MSC: 35K51 35R35 92B05 35B50 35B40 PDFBibTeX XMLCite \textit{J.-S. Guo} and \textit{C.-H. Wu}, J. Dyn. Differ. Equations 24, No. 4, 873--895 (2012; Zbl 1263.35132) Full Text: DOI
You, Yuncheng Robustness of global attractors for reversible Gray-Scott systems. (English) Zbl 1268.37089 J. Dyn. Differ. Equations 24, No. 3, 495-520 (2012). MSC: 37L30 35B40 35B41 35K55 35K57 PDFBibTeX XMLCite \textit{Y. You}, J. Dyn. Differ. Equations 24, No. 3, 495--520 (2012; Zbl 1268.37089) Full Text: DOI
Arrieta, José M.; Carvalho, Alexandre N. Continuity of dynamical structures for nonautonomous evolution equations under singular perturbations. (English) Zbl 1297.37008 J. Dyn. Differ. Equations 24, No. 3, 427-481 (2012). Reviewer: Norbert Koksch (Dresden) MSC: 37B55 34D15 34D30 34D45 34G20 35K90 37L05 PDFBibTeX XMLCite \textit{J. M. Arrieta} and \textit{A. N. Carvalho}, J. Dyn. Differ. Equations 24, No. 3, 427--481 (2012; Zbl 1297.37008) Full Text: DOI
Hsu, Sze-Bi; Wang, Feng-Bin; Zhao, Xiao-Qiang Dynamics of a periodically pulsed bio-reactor model with a hydraulic storage zone. (English) Zbl 1242.35208 J. Dyn. Differ. Equations 23, No. 4, 817-842 (2011). Reviewer: Yaping Liu (Pittsburg) MSC: 35Q92 35K51 92D25 35K58 35B10 PDFBibTeX XMLCite \textit{S.-B. Hsu} et al., J. Dyn. Differ. Equations 23, No. 4, 817--842 (2011; Zbl 1242.35208) Full Text: DOI
Mierczyński, Janusz; Shen, Wenxian Persistence in forward nonautonomous competitive systems of parabolic equations. (English) Zbl 1239.35059 J. Dyn. Differ. Equations 23, No. 3, 551-571 (2011). Reviewer: Zhen Jin (Taiyuan) MSC: 35K40 35K51 PDFBibTeX XMLCite \textit{J. Mierczyński} and \textit{W. Shen}, J. Dyn. Differ. Equations 23, No. 3, 551--571 (2011; Zbl 1239.35059) Full Text: DOI
Guo, Jong-Shenq; Liang, Xing The minimal speed of traveling fronts for the Lotka-Volterra competition system. (English) Zbl 1222.35053 J. Dyn. Differ. Equations 23, No. 2, 353-363 (2011); erratum ibid. 25, No. 4, 1251-1252 (2013). Reviewer: Jiaqi Mo (Wuhu) MSC: 35C07 35K57 35K45 92D25 39A12 PDFBibTeX XMLCite \textit{J.-S. Guo} and \textit{X. Liang}, J. Dyn. Differ. Equations 23, No. 2, 353--363 (2011; Zbl 1222.35053) Full Text: DOI
Souplet, Philippe A note on diffusion-induced blow-up. (English) Zbl 1145.35068 J. Dyn. Differ. Equations 19, No. 3, 819-823 (2007). Reviewer: Marek Fila (Bratislava) MSC: 35K50 35K55 35B05 PDFBibTeX XMLCite \textit{P. Souplet}, J. Dyn. Differ. Equations 19, No. 3, 819--823 (2007; Zbl 1145.35068) Full Text: DOI
Li, Yi; Zhao, Chunshan Existence, uniqueness and decay properties of strong solutions to an evolutionary system of MHD type in \(\mathbb{R}^3\). (English) Zbl 1138.76333 J. Dyn. Differ. Equations 18, No. 2, 393-426 (2006). MSC: 76D03 35B45 35K15 35K55 76W05 86A04 PDFBibTeX XMLCite \textit{Y. Li} and \textit{C. Zhao}, J. Dyn. Differ. Equations 18, No. 2, 393--426 (2006; Zbl 1138.76333) Full Text: DOI
Mizoguchi, Noriko; Ninomiya, Hirokazu; Yanagida, Eiji Diffusion-induced blowup in a nonlinear parabolic system. (English) Zbl 0917.35052 J. Dyn. Differ. Equations 10, No. 4, 619-638 (1998). Reviewer: Ya.A.Rojtberg (Chernigov) MSC: 35K57 35K15 35B40 PDFBibTeX XMLCite \textit{N. Mizoguchi} et al., J. Dyn. Differ. Equations 10, No. 4, 619--638 (1998; Zbl 0917.35052) Full Text: DOI
Leiva, Hugo Exponential dichotomy for a nonautonomous system of parabolic equations. (English) Zbl 1073.34521 J. Dyn. Differ. Equations 10, No. 3, 475-488 (1998). MSC: 34G10 34D09 35B40 35K90 37L99 PDFBibTeX XMLCite \textit{H. Leiva}, J. Dyn. Differ. Equations 10, No. 3, 475--488 (1998; Zbl 1073.34521) Full Text: DOI
Kalies, William D. On the asymptotic behavior of a phase-field model for elastic phase transitions. (English) Zbl 0956.35020 J. Dyn. Differ. Equations 9, No. 2, 289-306 (1997). MSC: 35B40 74N20 PDFBibTeX XMLCite \textit{W. D. Kalies}, J. Dyn. Differ. Equations 9, No. 2, 289--306 (1997; Zbl 0956.35020) Full Text: DOI
Kwak, Minkyu Finite-dimensional description of convective reaction-diffusion equations. (English) Zbl 0754.35063 J. Dyn. Differ. Equations 4, No. 3, 515-543 (1992). Reviewer: S.Jimbo (Tsushima) MSC: 35K57 35K55 37C70 PDFBibTeX XMLCite \textit{M. Kwak}, J. Dyn. Differ. Equations 4, No. 3, 515--543 (1992; Zbl 0754.35063) Full Text: DOI