Du, Yihong Propagation and reaction-diffusion models with free boundaries. (English) Zbl 07506069 Bull. Math. Sci. 12, No. 1, Article ID 2230001, 56 p. (2022). MSC: 35R35 35K20 35K57 35K58 92D25 92D30 PDF BibTeX XML Cite \textit{Y. Du}, Bull. Math. Sci. 12, No. 1, Article ID 2230001, 56 p. (2022; Zbl 07506069) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Du, Li-Jun; Li, Wan-Tong; Shen, Wenxian Propagation phenomena for time-space periodic monotone semiflows and applications to cooperative systems in multi-dimensional media. (English) Zbl 1485.35106 J. Funct. Anal. 282, No. 9, Article ID 109415, 59 p. (2022). MSC: 35C07 35K57 37C65 37N25 92D25 PDF BibTeX XML Cite \textit{L.-J. Du} et al., J. Funct. Anal. 282, No. 9, Article ID 109415, 59 p. (2022; Zbl 1485.35106) Full Text: DOI OpenURL
Liang, Xing; Zhou, Tao Spreading speeds of nonlocal KPP equations in heterogeneous media. (English) Zbl 1483.35032 Acta Math. Sin., Engl. Ser. 38, No. 1, 161-178 (2022). MSC: 35B40 35B27 35K57 35K90 35R09 45C05 45M20 PDF BibTeX XML Cite \textit{X. Liang} and \textit{T. Zhou}, Acta Math. Sin., Engl. Ser. 38, No. 1, 161--178 (2022; Zbl 1483.35032) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Du, Yihong Propagation, diffusion and free boundaries. (English) Zbl 1465.35004 SN Partial Differ. Equ. Appl. 1, No. 5, Paper No. 35, 24 p. (2020). Reviewer: Yingxin Guo (Qufu) MSC: 35-02 35K20 35R35 35R09 92D25 35K57 PDF BibTeX XML Cite \textit{Y. Du}, SN Partial Differ. Equ. Appl. 1, No. 5, Paper No. 35, 24 p. (2020; Zbl 1465.35004) Full Text: DOI OpenURL
Liang, Xing; Zhou, Tao Spreading speeds of nonlocal KPP equations in almost periodic media. (English) Zbl 1446.35242 J. Funct. Anal. 279, No. 9, Article ID 108723, 57 p. (2020). MSC: 35R09 35K57 35K90 35B15 45C05 45M20 35B51 35B27 PDF BibTeX XML Cite \textit{X. Liang} and \textit{T. Zhou}, J. Funct. Anal. 279, No. 9, Article ID 108723, 57 p. (2020; Zbl 1446.35242) Full Text: DOI OpenURL
Barré, J.; Bernardin, C.; Chétrite, R.; Chopra, Y.; Mariani, M. From fluctuating kinetics to fluctuating hydrodynamics: a \(\Gamma \)-convergence of large deviations functionals approach. (English) Zbl 1453.82053 J. Stat. Phys. 180, No. 1-6, 1095-1127 (2020). MSC: 82C22 82C40 82C31 60F10 76R50 35Q82 35Q83 35R60 PDF BibTeX XML Cite \textit{J. Barré} et al., J. Stat. Phys. 180, No. 1--6, 1095--1127 (2020; Zbl 1453.82053) Full Text: DOI arXiv OpenURL
Shen, Wenxian; Xue, Shuwen Persistence and spreading speeds of parabolic-elliptic Keller-Segel models in shifting environments. (English) Zbl 1442.35039 J. Differ. Equations 269, No. 7, 6236-6268 (2020). Reviewer: Chunhua Jin (Guangzhou) MSC: 35B40 92C17 PDF BibTeX XML Cite \textit{W. Shen} and \textit{S. Xue}, J. Differ. Equations 269, No. 7, 6236--6268 (2020; Zbl 1442.35039) Full Text: DOI arXiv OpenURL
Salako, Rachidi B.; Shen, Wenxian Existence of traveling wave solutions to parabolic-elliptic-elliptic chemotaxis systems with logistic source. (English) Zbl 1439.35120 Discrete Contin. Dyn. Syst., Ser. S 13, No. 2, 293-319 (2020). MSC: 35C07 35B35 35B40 35K57 92C17 PDF BibTeX XML Cite \textit{R. B. Salako} and \textit{W. Shen}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 2, 293--319 (2020; Zbl 1439.35120) Full Text: DOI arXiv OpenURL
Fazly, Mostafa; Lewis, Mark; Wang, Hao Analysis of propagation for impulsive reaction-diffusion models. (English) Zbl 1432.92105 SIAM J. Appl. Math. 80, No. 1, 521-542 (2020). MSC: 92D40 92D25 35K57 35C07 35Q92 PDF BibTeX XML Cite \textit{M. Fazly} et al., SIAM J. Appl. Math. 80, No. 1, 521--542 (2020; Zbl 1432.92105) Full Text: DOI arXiv Link OpenURL
Liang, Xing; Zhou, Tao Spreading speeds of KPP-type lattice systems in heterogeneous media. (English) Zbl 1437.37103 Commun. Contemp. Math. 22, No. 1, Article ID 1850083, 42 p. (2020). MSC: 37L60 37K60 35K57 PDF BibTeX XML Cite \textit{X. Liang} and \textit{T. Zhou}, Commun. Contemp. Math. 22, No. 1, Article ID 1850083, 42 p. (2020; Zbl 1437.37103) Full Text: DOI arXiv OpenURL
Salako, Rachidi B.; Shen, Wenxian Long-time behavior of random and nonautonomous Fisher-KPP equations. II. Transition fronts. (English) Zbl 1430.35131 Stoch. Dyn. 19, No. 6, Article ID 1950046, 31 p. (2019). MSC: 35K57 35B35 35B40 35Q92 92C17 PDF BibTeX XML Cite \textit{R. B. Salako} and \textit{W. Shen}, Stoch. Dyn. 19, No. 6, Article ID 1950046, 31 p. (2019; Zbl 1430.35131) Full Text: DOI arXiv OpenURL
Chen, Guang-Sheng; Wu, Shi-Liang Pulsating type entire solutions originating from three fronts for a bistable reaction-advection-diffusion equation in periodic media. (English) Zbl 1430.35012 Nonlinear Anal., Real World Appl. 50, 498-518 (2019). MSC: 35B08 35K57 35C07 PDF BibTeX XML Cite \textit{G.-S. Chen} and \textit{S.-L. Wu}, Nonlinear Anal., Real World Appl. 50, 498--518 (2019; Zbl 1430.35012) Full Text: DOI OpenURL
Salako, Rachidi B.; Shen, Wenxian; Xue, Shuwen Can chemotaxis speed up or slow down the spatial spreading in parabolic-elliptic Keller-Segel systems with logistic source? (English) Zbl 1479.35116 J. Math. Biol. 79, No. 4, 1455-1490 (2019). Reviewer: Evangelos Latos (Graz) MSC: 35B40 35B35 35K57 92C17 35K45 35K59 35C07 PDF BibTeX XML Cite \textit{R. B. Salako} et al., J. Math. Biol. 79, No. 4, 1455--1490 (2019; Zbl 1479.35116) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Liang, Xing Semi-wave solutions of KPP-Fisher equations with free boundaries in spatially almost periodic media. (English. French summary) Zbl 1420.35129 J. Math. Pures Appl. (9) 127, 299-308 (2019). Reviewer: Mariana Vega Smit (Bellingham) MSC: 35K57 35B15 35R35 PDF BibTeX XML Cite \textit{X. Liang}, J. Math. Pures Appl. (9) 127, 299--308 (2019; Zbl 1420.35129) Full Text: DOI arXiv OpenURL
Tzella, Alexandra; Vanneste, Jacques Chemical front propagation in periodic flows: FKPP versus G. (English) Zbl 1412.80008 SIAM J. Appl. Math. 79, No. 1, 131-152 (2019). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 80A32 80A25 35F21 37M05 PDF BibTeX XML Cite \textit{A. Tzella} and \textit{J. Vanneste}, SIAM J. Appl. Math. 79, No. 1, 131--152 (2019; Zbl 1412.80008) Full Text: DOI arXiv OpenURL
Salako, Rachidi B.; Shen, Wenxian Parabolic-elliptic chemotaxis model with space-time-dependent logistic sources on \(\mathbb{R}^N\). I: Persistence and asymptotic spreading. (English) Zbl 1426.35034 Math. Models Methods Appl. Sci. 28, No. 11, 2237-2273 (2018). Reviewer: Piotr Biler (Wrocław) MSC: 35B40 35Q92 92C17 35K55 PDF BibTeX XML Cite \textit{R. B. Salako} and \textit{W. Shen}, Math. Models Methods Appl. Sci. 28, No. 11, 2237--2273 (2018; Zbl 1426.35034) Full Text: DOI arXiv OpenURL
Contri, Benjamin Fisher-KPP equations and applications to a model in medical sciences. (English) Zbl 1405.35086 Netw. Heterog. Media 13, No. 1, 119-153 (2018). MSC: 35K57 92C50 35C07 35Q92 PDF BibTeX XML Cite \textit{B. Contri}, Netw. Heterog. Media 13, No. 1, 119--153 (2018; Zbl 1405.35086) Full Text: DOI OpenURL
Dowdall, James; LeBlanc, Victor; Lutscher, Frithjof Invasion pinning in a periodically fragmented habitat. (English) Zbl 1398.35249 J. Math. Biol. 77, No. 1, 55-78 (2018). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q92 35B27 35B32 37G40 92D40 PDF BibTeX XML Cite \textit{J. Dowdall} et al., J. Math. Biol. 77, No. 1, 55--78 (2018; Zbl 1398.35249) Full Text: DOI Link OpenURL
Salako, Rachidi B.; Shen, Wenxian Existence of traveling wave solutions of parabolic-parabolic chemotaxis systems. (English) Zbl 1441.37101 Nonlinear Anal., Real World Appl. 42, 93-119 (2018). MSC: 37N25 35C07 92D25 35K55 PDF BibTeX XML Cite \textit{R. B. Salako} and \textit{W. Shen}, Nonlinear Anal., Real World Appl. 42, 93--119 (2018; Zbl 1441.37101) Full Text: DOI arXiv OpenURL
Fang, Jian; Yu, Xiao; Zhao, Xiao-Qiang Traveling waves and spreading speeds for time-space periodic monotone systems. (English) Zbl 1398.35116 J. Funct. Anal. 272, No. 10, 4222-4262 (2017). MSC: 35K57 35C07 35Q92 37C65 37N25 92D25 PDF BibTeX XML Cite \textit{J. Fang} et al., J. Funct. Anal. 272, No. 10, 4222--4262 (2017; Zbl 1398.35116) Full Text: DOI arXiv OpenURL
Cao, Feng; Shen, Wenxian Spreading speeds and transition fronts of lattice KPP equations in time heterogeneous media. (English) Zbl 1394.34027 Discrete Contin. Dyn. Syst. 37, No. 9, 4697-4727 (2017). Reviewer: Daniela Danciu (Craiova) MSC: 34A33 PDF BibTeX XML Cite \textit{F. Cao} and \textit{W. Shen}, Discrete Contin. Dyn. Syst. 37, No. 9, 4697--4727 (2017; Zbl 1394.34027) Full Text: DOI arXiv OpenURL
Yu, Xiao; Zhao, Xiao-Qiang Propagation phenomena for A reaction-advection-diffusion competition model in a periodic habitat. (English) Zbl 1364.35391 J. Dyn. Differ. Equations 29, No. 1, 41-66 (2017). MSC: 35Q92 35K57 35C07 92D40 PDF BibTeX XML Cite \textit{X. Yu} and \textit{X.-Q. Zhao}, J. Dyn. Differ. Equations 29, No. 1, 41--66 (2017; Zbl 1364.35391) Full Text: DOI arXiv OpenURL
Salako, Rachidi Bolaji; Shen, Wenxian Global existence and asymptotic behavior of classical solutions to a parabolic-elliptic chemotaxis system with logistic source on \(\mathbb{R}^N\). (English) Zbl 1373.35051 J. Differ. Equations 262, No. 11, 5635-5690 (2017). Reviewer: Philippe Laurençot (Toulouse) MSC: 35B40 35B35 35K57 35K20 35Q92 92C17 PDF BibTeX XML Cite \textit{R. B. Salako} and \textit{W. Shen}, J. Differ. Equations 262, No. 11, 5635--5690 (2017; Zbl 1373.35051) Full Text: DOI arXiv OpenURL
Wang, Jie; Cheng, Cui-Ping Spreading speeds and periodic traveling waves of a partially sedentary integro-difference model. (English) Zbl 1410.35064 Appl. Math. Comput. 274, 459-479 (2016). MSC: 35K55 35B10 35C07 45K05 35Q92 92D25 PDF BibTeX XML Cite \textit{J. Wang} and \textit{C.-P. Cheng}, Appl. Math. Comput. 274, 459--479 (2016; Zbl 1410.35064) Full Text: DOI OpenURL
Ducrot, Arnaud; Matano, Hiroshi Plant disease propagation in a striped periodic medium. (English) Zbl 1367.92118 Cushing, Jim M. (ed.) et al., Applied analysis in biological and physical sciences. ICMBAA, Aligarh, India, June 4–6, 2015. New Delhi: Springer (ISBN 978-81-322-3638-2/hbk; 978-81-322-3640-5/ebook). Springer Proceedings in Mathematics & Statistics 186, 121-164 (2016). MSC: 92D30 92C80 35K57 35C07 PDF BibTeX XML Cite \textit{A. Ducrot} and \textit{H. Matano}, Springer Proc. Math. Stat. 186, 121--164 (2016; Zbl 1367.92118) Full Text: DOI OpenURL
Li, Wan-Tong; Wang, Jia-Bing; Zhang, Li Entire solutions of nonlocal dispersal equations with monostable nonlinearity in space periodic habitats. (English) Zbl 1339.35143 J. Differ. Equations 261, No. 4, 2472-2501 (2016). Reviewer: Dian K. Palagachev (Bari) MSC: 35K57 35R20 92D25 PDF BibTeX XML Cite \textit{W.-T. Li} et al., J. Differ. Equations 261, No. 4, 2472--2501 (2016; Zbl 1339.35143) Full Text: DOI OpenURL
Tzella, Alexandra; Vanneste, Jacques FKPP fronts in cellular flows: the large-Péclet regime. (English) Zbl 1327.76163 SIAM J. Appl. Math. 75, No. 4, 1789-1816 (2015). MSC: 76V05 76R99 35K57 PDF BibTeX XML Cite \textit{A. Tzella} and \textit{J. Vanneste}, SIAM J. Appl. Math. 75, No. 4, 1789--1816 (2015; Zbl 1327.76163) Full Text: DOI arXiv OpenURL
Du, Yihong; Liang, Xing Pulsating semi-waves in periodic media and spreading speed determined by a free boundary model. (English) Zbl 1321.35263 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 2, 279-305 (2015). Reviewer: Elena Frolova (St. Petersburg) MSC: 35R35 35K20 92B05 PDF BibTeX XML Cite \textit{Y. Du} and \textit{X. Liang}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 2, 279--305 (2015; Zbl 1321.35263) Full Text: DOI OpenURL
Ding, Weiwei; Liang, Xing Principal eigenvalues of generalized convolution operators on the circle and spreading speeds of noncompact evolution systems in periodic media. (English) Zbl 1325.45001 SIAM J. Math. Anal. 47, No. 1, 855-896 (2015). MSC: 45C05 45G10 47G10 47H07 92D25 PDF BibTeX XML Cite \textit{W. Ding} and \textit{X. Liang}, SIAM J. Math. Anal. 47, No. 1, 855--896 (2015; Zbl 1325.45001) Full Text: DOI OpenURL
Giletti, Thomas Convergence to pulsating traveling waves with minimal speed in some KPP heterogeneous problems. (English) Zbl 1316.35153 Calc. Var. Partial Differ. Equ. 51, No. 1-2, 265-289 (2014). Reviewer: Guo Lin (Lanzhou) MSC: 35K57 35C07 35B40 PDF BibTeX XML Cite \textit{T. Giletti}, Calc. Var. Partial Differ. Equ. 51, No. 1--2, 265--289 (2014; Zbl 1316.35153) Full Text: DOI arXiv OpenURL
Kong, Liang; Shen, Wenxian Liouville type property and spreading speeds of KPP equations in periodic media with localized spatial inhomogeneity. (English) Zbl 1295.35265 J. Dyn. Differ. Equations 26, No. 1, 181-215 (2014). MSC: 35K58 92D25 35B51 35K15 35B10 35B53 PDF BibTeX XML Cite \textit{L. Kong} and \textit{W. Shen}, J. Dyn. Differ. Equations 26, No. 1, 181--215 (2014; Zbl 1295.35265) Full Text: DOI arXiv OpenURL
Wu, Chufen; Xiao, Dongmei; Zhao, Xiao-Qiang Spreading speeds of a partially degenerate reaction-diffusion system in a periodic habitat. (English) Zbl 1317.35131 J. Differ. Equations 255, No. 11, 3983-4011 (2013). Reviewer: Zhi-Cheng Wang (Lanzhou) MSC: 35K65 35K51 35B40 92D25 35B10 35K57 35P05 PDF BibTeX XML Cite \textit{C. Wu} et al., J. Differ. Equations 255, No. 11, 3983--4011 (2013; Zbl 1317.35131) Full Text: DOI OpenURL
Bressloff, Paul C. Propagation of CaMKII translocation waves in heterogeneous spiny dendrites. (English) Zbl 1402.92075 J. Math. Biol. 66, No. 7, 1499-1525 (2013). MSC: 92C20 35C07 PDF BibTeX XML Cite \textit{P. C. Bressloff}, J. Math. Biol. 66, No. 7, 1499--1525 (2013; Zbl 1402.92075) Full Text: DOI Link OpenURL
Cabré, Xavier; Coulon, Anne-Charline; Roquejoffre, Jean-Michel Propagation in Fisher-KPP type equations with fractional diffusion in periodic media. (English. Abridged French version) Zbl 1253.35198 C. R., Math., Acad. Sci. Paris 350, No. 19-20, 885-890 (2012). MSC: 35R11 35B40 35K57 PDF BibTeX XML Cite \textit{X. Cabré} et al., C. R., Math., Acad. Sci. Paris 350, No. 19--20, 885--890 (2012; Zbl 1253.35198) Full Text: DOI arXiv OpenURL
Guo, Jong-Shenq; Hamel, François Propagation and blocking in periodically hostile environments. (English) Zbl 1263.35036 Arch. Ration. Mech. Anal. 204, No. 3, 945-975 (2012). Reviewer: Yaping Liu (Pittsburg) MSC: 35B40 35K57 35K58 35K20 PDF BibTeX XML Cite \textit{J.-S. Guo} and \textit{F. Hamel}, Arch. Ration. Mech. Anal. 204, No. 3, 945--975 (2012; Zbl 1263.35036) Full Text: DOI arXiv OpenURL
Garnier, Jimmy; Giletti, Thomas; Nadin, Gregoire Maximal and minimal spreading speeds for reaction diffusion equations in nonperiodic slowly varying media. (English) Zbl 1270.35265 J. Dyn. Differ. Equations 24, No. 3, 521-538 (2012). Reviewer: Zhi-Cheng Wang (Lanzhou) MSC: 35K57 35B05 35B40 35K91 PDF BibTeX XML Cite \textit{J. Garnier} et al., J. Dyn. Differ. Equations 24, No. 3, 521--538 (2012; Zbl 1270.35265) Full Text: DOI arXiv OpenURL
Du, Yihong; Guo, Zongming Spreading-vanishing dichotomy in a diffusive logistic model with a free boundary, II. (English) Zbl 1222.35096 J. Differ. Equations 250, No. 12, 4336-4366 (2011). MSC: 35K20 35R35 35J60 92B05 PDF BibTeX XML Cite \textit{Y. Du} and \textit{Z. Guo}, J. Differ. Equations 250, No. 12, 4336--4366 (2011; Zbl 1222.35096) Full Text: DOI OpenURL
Liang, Xing; Lin, Xiaotao; Matano, Hiroshi A variational problem associated with the minimal speed of travelling waves for spatially periodic reaction-diffusion equations. (English) Zbl 1206.35061 Trans. Am. Math. Soc. 362, No. 11, 5605-5633 (2010). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35C07 35K57 35K55 35P15 92D40 35B10 35B30 35B50 35K15 PDF BibTeX XML Cite \textit{X. Liang} et al., Trans. Am. Math. Soc. 362, No. 11, 5605--5633 (2010; Zbl 1206.35061) Full Text: DOI arXiv OpenURL
Hamel, François; Fayard, Julien; Roques, Lionel Spreading speeds in slowly oscillating environments. (English) Zbl 1197.92044 Bull. Math. Biol. 72, No. 5, 1166-1191 (2010). MSC: 92D40 35Q92 35K57 PDF BibTeX XML Cite \textit{F. Hamel} et al., Bull. Math. Biol. 72, No. 5, 1166--1191 (2010; Zbl 1197.92044) Full Text: DOI OpenURL
Nadin, Grégoire Existence and uniqueness of the solution of a space-time periodic reaction-diffusion equation. (English) Zbl 1204.35024 J. Differ. Equations 249, No. 6, 1288-1304 (2010). Reviewer: Cristian Chifu (Cluj-Napoca) MSC: 35B10 35K57 35B08 35B40 PDF BibTeX XML Cite \textit{G. Nadin}, J. Differ. Equations 249, No. 6, 1288--1304 (2010; Zbl 1204.35024) Full Text: DOI OpenURL
Shen, Wenxian; Zhang, Aijun Spreading speeds for monostable equations with nonlocal dispersal in space periodic habitats. (English) Zbl 1196.45002 J. Differ. Equations 249, No. 4, 747-795 (2010). Reviewer: Li Xing (Yinchuan) MSC: 45C05 45G10 45M20 47G10 92D25 PDF BibTeX XML Cite \textit{W. Shen} and \textit{A. Zhang}, J. Differ. Equations 249, No. 4, 747--795 (2010; Zbl 1196.45002) Full Text: DOI OpenURL
Liang, Xing; Zhao, Xiao-Qiang Spreading speeds and traveling waves for abstract monostable evolution systems. (English) Zbl 1201.35068 J. Funct. Anal. 259, No. 4, 857-903 (2010). Reviewer: Cristian Chifu (Cluj-Napoca) MSC: 35C07 35K55 92D25 35K57 35K20 37C65 PDF BibTeX XML Cite \textit{X. Liang} and \textit{X.-Q. Zhao}, J. Funct. Anal. 259, No. 4, 857--903 (2010; Zbl 1201.35068) Full Text: DOI OpenURL
Shen, Wenxian Spreading and generalized propagating speeds of discrete KPP models in time varying environments. (English) Zbl 1183.34012 Front. Math. China 4, No. 3, 523-562 (2009). MSC: 34A33 92D25 PDF BibTeX XML Cite \textit{W. Shen}, Front. Math. China 4, No. 3, 523--562 (2009; Zbl 1183.34012) Full Text: DOI OpenURL
Jin, Yu; Zhao, Xiao-Qiang Spatial dynamics of a discrete-time population model in a periodic lattice habitat. (English) Zbl 1172.92034 J. Dyn. Differ. Equations 21, No. 3, 501-525 (2009). MSC: 92D40 39A12 39A30 92D25 PDF BibTeX XML Cite \textit{Y. Jin} and \textit{X.-Q. Zhao}, J. Dyn. Differ. Equations 21, No. 3, 501--525 (2009; Zbl 1172.92034) Full Text: DOI OpenURL
Nadin, Gregoire The principal eigenvalue of a space-time periodic parabolic operator. (English) Zbl 1193.35113 Ann. Mat. Pura Appl. (4) 188, No. 2, 269-295 (2009). Reviewer: Massimo Lanza de Cristoforis (Padova) MSC: 35P15 35P05 35B30 47F05 PDF BibTeX XML Cite \textit{G. Nadin}, Ann. Mat. Pura Appl. (4) 188, No. 2, 269--295 (2009; Zbl 1193.35113) Full Text: DOI OpenURL
Nadin, Grégoire Traveling fronts in space-time periodic media. (English) Zbl 1182.35074 J. Math. Pures Appl. (9) 92, No. 3, 232-262 (2009). Reviewer: Cristian Chifu (Cluj-Napoca) MSC: 35C07 35K57 35B40 35B50 35B65 35P15 35B10 PDF BibTeX XML Cite \textit{G. Nadin}, J. Math. Pures Appl. (9) 92, No. 3, 232--262 (2009; Zbl 1182.35074) Full Text: DOI arXiv OpenURL
Nolen, James; Ryzhik, Lenya Traveling waves in a one-dimensional heterogeneous medium. (English) Zbl 1178.35205 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 3, 1021-1047 (2009). MSC: 35K57 35K55 35K15 35B40 35R60 PDF BibTeX XML Cite \textit{J. Nolen} and \textit{L. Ryzhik}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 3, 1021--1047 (2009; Zbl 1178.35205) Full Text: DOI arXiv EuDML OpenURL
Nolen, James; Xin, Jack Computing reactive front speeds in random flows by variational principle. (English) Zbl 1155.76061 Physica D 237, No. 23, 3172-3177 (2008). MSC: 76V05 76M30 76M35 PDF BibTeX XML Cite \textit{J. Nolen} and \textit{J. Xin}, Physica D 237, No. 23, 3172--3177 (2008; Zbl 1155.76061) Full Text: DOI OpenURL
Berestycki, Henri; Hamel, François; Nadin, Grégoire Asymptotic spreading in heterogeneous diffusive excitable media. (English) Zbl 1234.35033 J. Funct. Anal. 255, No. 9, 2146-2189 (2008). MSC: 35B40 35K57 35K15 35B50 PDF BibTeX XML Cite \textit{H. Berestycki} et al., J. Funct. Anal. 255, No. 9, 2146--2189 (2008; Zbl 1234.35033) Full Text: DOI OpenURL
Chen, Xinfu; Guo, Jong-Shenq; Wu, Chin-Chin Traveling waves in discrete periodic media for bistable dynamics. (English) Zbl 1152.37033 Arch. Ration. Mech. Anal. 189, No. 2, 189-236 (2008). Reviewer: Christian Pötzsche (München) MSC: 37L60 35K55 37L15 35K15 35B10 PDF BibTeX XML Cite \textit{X. Chen} et al., Arch. Ration. Mech. Anal. 189, No. 2, 189--236 (2008; Zbl 1152.37033) Full Text: DOI OpenURL
Weinberger, Hans F.; Kawasaki, Kohkichi; Shigesada, Nanako Spreading speeds of spatially periodic integro-difference models for populations with nonmonotone recruitment functions. (English) Zbl 1141.92041 J. Math. Biol. 57, No. 3, 387-411 (2008). MSC: 92D40 35K55 45M99 92D25 35K57 35Q92 PDF BibTeX XML Cite \textit{H. F. Weinberger} et al., J. Math. Biol. 57, No. 3, 387--411 (2008; Zbl 1141.92041) Full Text: DOI OpenURL
Novikov, Alexei; Ryzhik, Lenya Boundary layers and KPP fronts in a cellular flow. (English) Zbl 1109.76064 Arch. Ration. Mech. Anal. 184, No. 1, 23-48 (2007). MSC: 76V05 35Q35 PDF BibTeX XML Cite \textit{A. Novikov} and \textit{L. Ryzhik}, Arch. Ration. Mech. Anal. 184, No. 1, 23--48 (2007; Zbl 1109.76064) Full Text: DOI OpenURL
Guo, Jong-Shenq; Hamel, François Front propagation for discrete periodic monostable equations. (English) Zbl 1116.35063 Math. Ann. 335, No. 3, 489-525 (2006). Reviewer: Sen-Zhong Huang (Hamburg) MSC: 35K57 35K50 39A12 PDF BibTeX XML Cite \textit{J.-S. Guo} and \textit{F. Hamel}, Math. Ann. 335, No. 3, 489--525 (2006; Zbl 1116.35063) Full Text: DOI OpenURL
Berestycki, Henri; Constantin, Peter; Ryzhik, Lenya Non-planar fronts in Boussinesq reactive flows. (English) Zbl 1157.35469 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 23, No. 4, 407-437 (2006). MSC: 35Q53 76D99 76V05 PDF BibTeX XML Cite \textit{H. Berestycki} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 23, No. 4, 407--437 (2006; Zbl 1157.35469) Full Text: DOI arXiv Numdam EuDML OpenURL
Berestycki, Henri; Hamel, François; Roques, Lionel Analysis of the periodically fragmented environment model. II: Biological invasions and pulsating travelling fronts. (English) Zbl 1083.92036 J. Math. Pures Appl., IX. Sér. 84, No. 8, 1101-1146 (2005). MSC: 92D40 35K57 35B10 PDF BibTeX XML Cite \textit{H. Berestycki} et al., J. Math. Pures Appl. (9) 84, No. 8, 1101--1146 (2005; Zbl 1083.92036) Full Text: DOI OpenURL
Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai Elliptic eigenvalue problems with large drift and applications to nonlinear propagation phenomena. (English) Zbl 1123.35033 Commun. Math. Phys. 253, No. 2, 451-480 (2005). Reviewer: N. G. Tomin (Ivanovo) MSC: 35P15 35P20 35J25 35K55 35K57 PDF BibTeX XML Cite \textit{H. Berestycki} et al., Commun. Math. Phys. 253, No. 2, 451--480 (2005; Zbl 1123.35033) Full Text: DOI HAL OpenURL
Berestycki, Henri; Hamel, François; Roques, Lionel Analysis of the periodically fragmented environment model. I: Species persistence. (English) Zbl 1066.92047 J. Math. Biol. 51, No. 1, 75-113 (2005). MSC: 92D40 35K57 35Q92 PDF BibTeX XML Cite \textit{H. Berestycki} et al., J. Math. Biol. 51, No. 1, 75--113 (2005; Zbl 1066.92047) Full Text: DOI OpenURL
Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai Propagation speed for reaction-diffusion equations in general domains. (English. Abridged French version) Zbl 1049.35100 C. R., Math., Acad. Sci. Paris 339, No. 3, 163-168 (2004). MSC: 35K57 PDF BibTeX XML Cite \textit{H. Berestycki} et al., C. R., Math., Acad. Sci. Paris 339, No. 3, 163--168 (2004; Zbl 1049.35100) Full Text: DOI OpenURL
Kinezaki, Noriko; Kawasaki, Kohkichi; Takasu, Fugo; Shigesada, Nanako Modeling biological invasions into periodically fragmented environments. (English) Zbl 1102.92057 Theor. Popul. Biol. 64, No. 3, 291-302 (2003). MSC: 92D40 35Q92 PDF BibTeX XML Cite \textit{N. Kinezaki} et al., Theor. Popul. Biol. 64, No. 3, 291--302 (2003; Zbl 1102.92057) Full Text: DOI OpenURL
Kiselev, Alexander; Ryzhik, Leonid Enhancement of the traveling front speeds in reaction-diffusion equations with advection. (English) Zbl 1002.35069 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 18, No. 3, 309-358 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 35K57 80A32 35K40 35B45 35B10 PDF BibTeX XML Cite \textit{A. Kiselev} and \textit{L. Ryzhik}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 18, No. 3, 309--358 (2001; Zbl 1002.35069) Full Text: DOI arXiv Numdam EuDML OpenURL
Lee, Tzong-Yow; Torcaso, Fred Wave propagation in a lattice KPP equation in random media. (English) Zbl 0937.60074 Ann. Probab. 26, No. 3, 1179-1197 (1998). MSC: 60J60 35K55 PDF BibTeX XML Cite \textit{T.-Y. Lee} and \textit{F. Torcaso}, Ann. Probab. 26, No. 3, 1179--1197 (1998; Zbl 0937.60074) Full Text: DOI OpenURL