Consolo, Giancarlo; Grifó, Gabriele; Valenti, Giovanna Modeling vegetation patterning on sloped terrains: the role of toxic compounds. (English) Zbl 07814531 Physica D 459, Article ID 134020, 14 p. (2024). MSC: 35B32 35K57 92C15 PDFBibTeX XMLCite \textit{G. Consolo} et al., Physica D 459, Article ID 134020, 14 p. (2024; Zbl 07814531) Full Text: DOI
Gandhi, Punit; Liu, Lily; Silber, Mary A pulsed-precipitation model of dryland vegetation pattern formation. (English) Zbl 1518.35071 SIAM J. Appl. Dyn. Syst. 22, No. 2, 657-693 (2023). MSC: 35B36 35R12 35R60 92D40 86A05 PDFBibTeX XMLCite \textit{P. Gandhi} et al., SIAM J. Appl. Dyn. Syst. 22, No. 2, 657--693 (2023; Zbl 1518.35071) Full Text: DOI arXiv
Grifó, G.; Consolo, G.; Curró, C.; Valenti, G. Rhombic and hexagonal pattern formation in 2D hyperbolic reaction-transport systems in the context of dryland ecology. (English) Zbl 1517.35032 Physica D 449, Article ID 133745, 21 p. (2023). MSC: 35B36 35B32 35L60 92D40 PDFBibTeX XMLCite \textit{G. Grifó} et al., Physica D 449, Article ID 133745, 21 p. (2023; Zbl 1517.35032) Full Text: DOI
Gai, Chunyi; Kolokolnikov, Theodore Resource-mediated competition between two plant species with different rates of water intake. (English) Zbl 1514.35038 SIAM J. Appl. Math. 83, No. 2, 576-602 (2023). MSC: 35B36 35B25 35B35 35B40 35K51 35K57 35Q92 PDFBibTeX XMLCite \textit{C. Gai} and \textit{T. Kolokolnikov}, SIAM J. Appl. Math. 83, No. 2, 576--602 (2023; Zbl 1514.35038) Full Text: DOI
Carter, Paul; Doelman, Arjen; Lilly, Kaitlynn; Obermayer, Erin; Rao, Shreyas Criteria for the (in)stability of planar interfaces in singularly perturbed 2-component reaction-diffusion equations. (English) Zbl 1505.35020 Physica D 444, Article ID 133596, 22 p. (2023). MSC: 35B25 35B35 35K40 35K57 PDFBibTeX XMLCite \textit{P. Carter} et al., Physica D 444, Article ID 133596, 22 p. (2023; Zbl 1505.35020) Full Text: DOI arXiv
Li, Jing; Sun, Gui-Quan; Guo, Zun-Guang Bifurcation analysis of an extended Klausmeier-Gray-Scott model with infiltration delay. (English) Zbl 07776532 Stud. Appl. Math. 148, No. 4, 1519-1542 (2022). MSC: 92D40 35Q92 PDFBibTeX XMLCite \textit{J. Li} et al., Stud. Appl. Math. 148, No. 4, 1519--1542 (2022; Zbl 07776532) Full Text: DOI
Consolo, Giancarlo; Grifó, Gabriele Eckhaus instability of stationary patterns in hyperbolic reaction-diffusion models on large finite domains. (English) Zbl 1498.35033 SN Partial Differ. Equ. Appl. 3, No. 5, Paper No. 57, 32 p. (2022). MSC: 35B32 35B36 35L51 35L60 35Q56 35Q92 PDFBibTeX XMLCite \textit{G. Consolo} and \textit{G. Grifó}, SN Partial Differ. Equ. Appl. 3, No. 5, Paper No. 57, 32 p. (2022; Zbl 1498.35033) Full Text: DOI
Wong, Tony; Ward, Michael J. Dynamics of patchy vegetation patterns in the two-dimensional generalized Klausmeier model. (English) Zbl 1498.35057 Discrete Contin. Dyn. Syst., Ser. S 15, No. 9, 2747-2793 (2022). MSC: 35B36 35B25 35B32 35K57 35Q92 PDFBibTeX XMLCite \textit{T. Wong} and \textit{M. J. Ward}, Discrete Contin. Dyn. Syst., Ser. S 15, No. 9, 2747--2793 (2022; Zbl 1498.35057) Full Text: DOI
Zhang, Hong-Tao; Wu, Yong-Ping; Sun, Gui-Quan; Liu, Chen; Feng, Guo-Lin Bifurcation analysis of a spatial vegetation model. (English) Zbl 1510.35040 Appl. Math. Comput. 434, Article ID 127459, 14 p. (2022). MSC: 35B32 35Q92 92D40 35K57 PDFBibTeX XMLCite \textit{H.-T. Zhang} et al., Appl. Math. Comput. 434, Article ID 127459, 14 p. (2022; Zbl 1510.35040) Full Text: DOI
Jia, Lan; Li, Liang Stability and dynamic transition of vegetation model for flat arid terrains. (English) Zbl 1490.35030 Discrete Contin. Dyn. Syst., Ser. B 27, No. 6, 3375-3398 (2022). MSC: 35B32 35B35 35B09 35K51 35K58 37L10 PDFBibTeX XMLCite \textit{L. Jia} and \textit{L. Li}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 6, 3375--3398 (2022; Zbl 1490.35030) Full Text: DOI
Sun, Gui-Quan; Zhang, Hong-Tao; Song, Yong-Li; Li, Li; Jin, Zhen Dynamic analysis of a plant-water model with spatial diffusion. (English) Zbl 1490.35033 J. Differ. Equations 329, 395-430 (2022). MSC: 35B32 35K51 35K57 92C80 37L10 PDFBibTeX XMLCite \textit{G.-Q. Sun} et al., J. Differ. Equations 329, 395--430 (2022; Zbl 1490.35033) Full Text: DOI
Kabir, M. Humayun; Gani, M. Osman Numerical bifurcation analysis and pattern formation in a minimal reaction-diffusion model for vegetation. (English) Zbl 1483.92155 J. Theor. Biol. 536, Article ID 110997, 16 p. (2022). MSC: 92D40 35K57 34K21 35B36 PDFBibTeX XMLCite \textit{M. H. Kabir} and \textit{M. O. Gani}, J. Theor. Biol. 536, Article ID 110997, 16 p. (2022; Zbl 1483.92155) Full Text: DOI
Iuorio, Annalisa; Veerman, Frits The influence of autotoxicity on the dynamics of vegetation spots. (English) Zbl 1484.35040 Physica D 427, Article ID 133015, 18 p. (2021). MSC: 35B36 35B25 35K51 35K57 35Q92 PDFBibTeX XMLCite \textit{A. Iuorio} and \textit{F. Veerman}, Physica D 427, Article ID 133015, 18 p. (2021; Zbl 1484.35040) Full Text: DOI DOI
Xue, Qiang; Liu, Chen; Li, Li; Sun, Gui-Quan; Wang, Zhen Interactions of diffusion and nonlocal delay give rise to vegetation patterns in semi-arid environments. (English) Zbl 1508.92331 Appl. Math. Comput. 399, Article ID 126038, 22 p. (2021). MSC: 92D40 35Q92 PDFBibTeX XMLCite \textit{Q. Xue} et al., Appl. Math. Comput. 399, Article ID 126038, 22 p. (2021; Zbl 1508.92331) Full Text: DOI
Sherratt, Jonathan A.; Liu, Quan-Xing; van de Koppel, Johan A comparison of the “reduced losses” and “increased production” models for mussel bed dynamics. (English) Zbl 1478.92251 Bull. Math. Biol. 83, No. 10, Paper No. 99, 26 p. (2021). Reviewer: Yuming Chen (Waterloo) MSC: 92D40 92C15 35Q92 PDFBibTeX XMLCite \textit{J. A. Sherratt} et al., Bull. Math. Biol. 83, No. 10, Paper No. 99, 26 p. (2021; Zbl 1478.92251) Full Text: DOI
Wang, Xiaoli; Zhang, Guohong Bifurcation analysis of a general activator-inhibitor model with nonlocal dispersal. (English) Zbl 1466.35022 Discrete Contin. Dyn. Syst., Ser. B 26, No. 8, 4459-4477 (2021). MSC: 35B32 35B35 35B36 35K51 35K57 35R09 37L15 92C15 PDFBibTeX XMLCite \textit{X. Wang} and \textit{G. Zhang}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 8, 4459--4477 (2021; Zbl 1466.35022) Full Text: DOI
Chen, Shanshan; Shi, Junping; Zhang, Guohong Spatial pattern formation in activator-inhibitor models with nonlocal dispersal. (English) Zbl 1466.35024 Discrete Contin. Dyn. Syst., Ser. B 26, No. 4, 1843-1866 (2021). MSC: 35B36 35B32 35B35 35K51 35K57 37L15 92C15 PDFBibTeX XMLCite \textit{S. Chen} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 4, 1843--1866 (2021; Zbl 1466.35024) Full Text: DOI
Schouten-Straatman, W. M.; Hupkes, H. J. Travelling wave solutions for fully discrete FitzHugh-Nagumo type equations with infinite-range interactions. (English) Zbl 1482.65153 J. Math. Anal. Appl. 502, No. 2, Article ID 125272, 41 p. (2021). MSC: 65M06 65N06 35B25 35C07 92C20 35Q92 PDFBibTeX XMLCite \textit{W. M. Schouten-Straatman} and \textit{H. J. Hupkes}, J. Math. Anal. Appl. 502, No. 2, Article ID 125272, 41 p. (2021; Zbl 1482.65153) Full Text: DOI arXiv
Wang, Xiaoli; Shi, Junping; Zhang, Guohong Bifurcation and pattern formation in diffusive Klausmeier-Gray-Scott model of water-plant interaction. (English) Zbl 1472.35035 J. Math. Anal. Appl. 497, No. 1, Article ID 124860, 28 p. (2021). Reviewer: Alois Steindl (Wien) MSC: 35B32 35B35 35K57 60J70 92C80 35B36 35B25 35K51 PDFBibTeX XMLCite \textit{X. Wang} et al., J. Math. Anal. Appl. 497, No. 1, Article ID 124860, 28 p. (2021; Zbl 1472.35035) Full Text: DOI
Jaïbi, Olfa; Doelman, Arjen; Chirilus-Bruckner, Martina; Meron, Ehud The existence of localized vegetation patterns in a systematically reduced model for dryland vegetation. (English) Zbl 1485.92177 Physica D 412, Article ID 132637, 30 p. (2020). MSC: 92D40 35C07 35K57 35B25 PDFBibTeX XMLCite \textit{O. Jaïbi} et al., Physica D 412, Article ID 132637, 30 p. (2020; Zbl 1485.92177) Full Text: DOI arXiv
Siero, Eric Resolving soil and surface water flux as drivers of pattern formation in Turing models of dryland vegetation: a unified approach. (English) Zbl 1481.35366 Physica D 414, Article ID 132695, 13 p. (2020). MSC: 35Q92 92D40 92-10 35K40 35K57 PDFBibTeX XMLCite \textit{E. Siero}, Physica D 414, Article ID 132695, 13 p. (2020; Zbl 1481.35366) Full Text: DOI
Eigentler, L.; Sherratt, J. A. Effects of precipitation intermittency on vegetation patterns in semi-arid landscapes. (English) Zbl 1485.92174 Physica D 405, Article ID 132396, 17 p. (2020). MSC: 92D40 35Q92 PDFBibTeX XMLCite \textit{L. Eigentler} and \textit{J. A. Sherratt}, Physica D 405, Article ID 132396, 17 p. (2020; Zbl 1485.92174) Full Text: DOI arXiv
Tzou, J. C.; Tzou, L. Analysis of spot patterns on a coordinate-invariant model for vegetation on a curved terrain. (English) Zbl 1462.35039 SIAM J. Appl. Dyn. Syst. 19, No. 4, 2500-2529 (2020). MSC: 35B25 35K51 35K57 35B36 35A27 PDFBibTeX XMLCite \textit{J. C. Tzou} and \textit{L. Tzou}, SIAM J. Appl. Dyn. Syst. 19, No. 4, 2500--2529 (2020; Zbl 1462.35039) Full Text: DOI
Eigentler, Lukas; Sherratt, Jonathan A. An integrodifference model for vegetation patterns in semi-arid environments with seasonality. (English) Zbl 1454.37088 J. Math. Biol. 81, No. 3, 875-904 (2020). MSC: 37N25 39A30 92D40 PDFBibTeX XMLCite \textit{L. Eigentler} and \textit{J. A. Sherratt}, J. Math. Biol. 81, No. 3, 875--904 (2020; Zbl 1454.37088) Full Text: DOI arXiv
Eigentler, L.; Sherratt, J. A. Spatial self-organisation enables species coexistence in a model for savanna ecosystems. (English) Zbl 1429.92140 J. Theor. Biol. 487, Article ID 110122, 17 p. (2020). MSC: 92D40 35Q92 92C80 35K57 PDFBibTeX XMLCite \textit{L. Eigentler} and \textit{J. A. Sherratt}, J. Theor. Biol. 487, Article ID 110122, 17 p. (2020; Zbl 1429.92140) Full Text: DOI arXiv
Consolo, Giancarlo; Currò, Carmela; Valenti, Giovanna Supercritical and subcritical Turing pattern formation in a hyperbolic vegetation model for flat arid environments. (English) Zbl 1453.37082 Physica D 398, 141-163 (2019). MSC: 37N25 35B35 35L40 37M05 92D25 92C80 PDFBibTeX XMLCite \textit{G. Consolo} et al., Physica D 398, 141--163 (2019; Zbl 1453.37082) Full Text: DOI
Bastiaansen, Robbin; Doelman, Arjen The dynamics of disappearing pulses in a singularly perturbed reaction-diffusion system with parameters that vary in time and space. (English) Zbl 1448.34096 Physica D 388, 45-72 (2019). MSC: 34C60 92D40 35Q92 35Q86 34A45 34D20 PDFBibTeX XMLCite \textit{R. Bastiaansen} and \textit{A. Doelman}, Physica D 388, 45--72 (2019; Zbl 1448.34096) Full Text: DOI arXiv
Meron, Ehud; Mau, Yair; Zelnik, Yuval R. Multistability in ecosystems: concerns and opportunities for ecosystem function in variable environments. (English) Zbl 1436.92019 Kaper, Hans G. (ed.) et al., Mathematics of planet Earth. Protecting our planet, learning from the past, safeguarding for the future. Cham: Springer. Math. Planet Earth 5, 177-202 (2019). MSC: 92D40 PDFBibTeX XMLCite \textit{E. Meron} et al., Math. Planet Earth 5, 177--202 (2019; Zbl 1436.92019) Full Text: DOI
Bastiaansen, Robbin; Carter, Paul; Doelman, Arjen Stable planar vegetation stripe patterns on sloped terrain in dryland ecosystems. (English) Zbl 1419.35104 Nonlinearity 32, No. 8, 2759-2814 (2019). MSC: 35K57 35C07 35B25 35B35 35Q92 92D40 PDFBibTeX XMLCite \textit{R. Bastiaansen} et al., Nonlinearity 32, No. 8, 2759--2814 (2019; Zbl 1419.35104) Full Text: DOI arXiv
Eigentler, Lukas; Sherratt, Jonathan A. Metastability as a coexistence mechanism in a model for dryland vegetation patterns. (English) Zbl 1417.92209 Bull. Math. Biol. 81, No. 7, 2290-2322 (2019). MSC: 92D40 35Q92 PDFBibTeX XMLCite \textit{L. Eigentler} and \textit{J. A. Sherratt}, Bull. Math. Biol. 81, No. 7, 2290--2322 (2019; Zbl 1417.92209) Full Text: DOI arXiv
Sun, Gui-Quan; Wang, Cui-Hua; Chang, Li-Li; Wu, Yong-Ping; Li, Li; Jin, Zhen Effects of feedback regulation on vegetation patterns in semi-arid environments. (English) Zbl 1460.92238 Appl. Math. Modelling 61, 200-215 (2018). Reviewer: Fatima T. Adylova (Tashkent) MSC: 92D40 92C15 93B52 PDFBibTeX XMLCite \textit{G.-Q. Sun} et al., Appl. Math. Modelling 61, 200--215 (2018; Zbl 1460.92238) Full Text: DOI
Gandhi, Punit; Zelnik, Yuval R.; Knobloch, Edgar Spatially localized structures in the Gray-Scott model. (English) Zbl 1425.35099 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2135, Article ID 20170375, 20 p. (2018). MSC: 35K57 35K40 65P40 35Q92 PDFBibTeX XMLCite \textit{P. Gandhi} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2135, Article ID 20170375, 20 p. (2018; Zbl 1425.35099) Full Text: DOI
Eigentler, Lukas; Sherratt, Jonathan A. Analysis of a model for banded vegetation patterns in semi-arid environments with nonlocal dispersal. (English) Zbl 1453.35025 J. Math. Biol. 77, No. 3, 739-763 (2018). Reviewer: Vladimir V. Kisil (Leeds) MSC: 35B36 35R09 35C07 35Q92 35K57 PDFBibTeX XMLCite \textit{L. Eigentler} and \textit{J. A. Sherratt}, J. Math. Biol. 77, No. 3, 739--763 (2018; Zbl 1453.35025) Full Text: DOI arXiv
Wang, Xiaoli; Zhang, Guohong Vegetation pattern formation in seminal systems due to internal competition reaction between plants. (English) Zbl 1406.92389 J. Theor. Biol. 458, 10-14 (2018). MSC: 92C80 92C15 92D40 35Q92 PDFBibTeX XMLCite \textit{X. Wang} and \textit{G. Zhang}, J. Theor. Biol. 458, 10--14 (2018; Zbl 1406.92389) Full Text: DOI
Carter, Paul; Doelman, Arjen Traveling stripes in the Klausmeier model of vegetation pattern formation. (English) Zbl 1403.35132 SIAM J. Appl. Math. 78, No. 6, 3213-3237 (2018). Reviewer: Andrey Zahariev (Plovdiv) MSC: 35K57 35C07 35B25 34C25 34C37 35B36 92D40 PDFBibTeX XMLCite \textit{P. Carter} and \textit{A. Doelman}, SIAM J. Appl. Math. 78, No. 6, 3213--3237 (2018; Zbl 1403.35132) Full Text: DOI
Doelman, Arjen; Rademacher, Jens; de Rijk, Björn; Veerman, Frits Destabilization mechanisms of periodic pulse patterns near a homoclinic limit. (English) Zbl 1400.35164 SIAM J. Appl. Dyn. Syst. 17, No. 2, 1833-1890 (2018). MSC: 35K57 35B10 35B35 35B25 35B36 PDFBibTeX XMLCite \textit{A. Doelman} et al., SIAM J. Appl. Dyn. Syst. 17, No. 2, 1833--1890 (2018; Zbl 1400.35164) Full Text: DOI
Sewalt, Lotte; Doelman, Arjen Spatially periodic multipulse patterns in a generalized Klausmeier-Gray-Scott model. (English) Zbl 1369.34067 SIAM J. Appl. Dyn. Syst. 16, No. 2, 1113-1163 (2017). MSC: 34C37 34C25 35B25 35B35 35B36 35C07 92D40 PDFBibTeX XMLCite \textit{L. Sewalt} and \textit{A. Doelman}, SIAM J. Appl. Dyn. Syst. 16, No. 2, 1113--1163 (2017; Zbl 1369.34067) Full Text: DOI
Yizhaq, Hezi; Bel, Golan Effects of quenched disorder on critical transitions in pattern-forming systems. (English) Zbl 1456.35030 New J. Phys. 18, No. 2, Article ID 023004, 10 p. (2016). MSC: 35B36 92C15 PDFBibTeX XMLCite \textit{H. Yizhaq} and \textit{G. Bel}, New J. Phys. 18, No. 2, Article ID 023004, 10 p. (2016; Zbl 1456.35030) Full Text: DOI arXiv
Sherratt, J. A. Using numerical bifurcation analysis to study pattern formation in mussel beds. (English) Zbl 1384.92014 Math. Model. Nat. Phenom. 11, No. 5, 86-102 (2016). MSC: 92C15 92D40 35M10 35C07 PDFBibTeX XMLCite \textit{J. A. Sherratt}, Math. Model. Nat. Phenom. 11, No. 5, 86--102 (2016; Zbl 1384.92014) Full Text: DOI Link
Deng, Xijun; Guo, Shangjiang Retracted article: “Slowly modulated two-pulse solutions in a generalized Klausmeier-Gray-Scott model”. (English) Zbl 1388.35008 Bull. Malays. Math. Sci. Soc. (2) 39, No. 3, 1285-1285 (2016). MSC: 35B36 35K57 35B32 35Q56 PDFBibTeX XMLCite \textit{X. Deng} and \textit{S. Guo}, Bull. Malays. Math. Sci. Soc. (2) 39, No. 3, 1285--1285 (2016; Zbl 1388.35008) Full Text: DOI
Sherratt, Jonathan A. When does colonisation of a semi-arid hillslope generate vegetation patterns? (English) Zbl 1343.92551 J. Math. Biol. 73, No. 1, 199-226 (2016). MSC: 92D40 92C80 35M30 35C07 PDFBibTeX XMLCite \textit{J. A. Sherratt}, J. Math. Biol. 73, No. 1, 199--226 (2016; Zbl 1343.92551) Full Text: DOI
Dawes, J. H. P.; Williams, J. L. M. Localised pattern formation in a model for dryland vegetation. (English) Zbl 1351.35231 J. Math. Biol. 73, No. 1, 63-90 (2016). MSC: 35Q92 35B36 35B32 92D40 PDFBibTeX XMLCite \textit{J. H. P. Dawes} and \textit{J. L. M. Williams}, J. Math. Biol. 73, No. 1, 63--90 (2016; Zbl 1351.35231) Full Text: DOI
de Rijk, Björn; Doelman, Arjen; Rademacher, Jens Spectra and stability of spatially periodic pulse patterns: Evans function factorization via Riccati transformation. (English) Zbl 1336.35042 SIAM J. Math. Anal. 48, No. 1, 61-121 (2016). Reviewer: Denise Huet (Nancy) MSC: 35B25 35B35 34C20 34D09 34L10 35B10 35K57 35K40 PDFBibTeX XMLCite \textit{B. de Rijk} et al., SIAM J. Math. Anal. 48, No. 1, 61--121 (2016; Zbl 1336.35042) Full Text: DOI arXiv
Meron, Ehud Pattern formation – a missing link in the study of ecosystem response to environmental changes. (English) Zbl 1364.92060 Math. Biosci. 271, 1-18 (2016). MSC: 92D40 35K55 35K57 45K05 PDFBibTeX XMLCite \textit{E. Meron}, Math. Biosci. 271, 1--18 (2016; Zbl 1364.92060) Full Text: DOI
Chen, Yuxin; Kolokolnikov, Theodore; Tzou, Justin; Gai, Chunyi Patterned vegetation, tipping points, and the rate of climate change. (English) Zbl 1375.92078 Eur. J. Appl. Math. 26, No. 6, 945-958 (2015). MSC: 92D40 35R60 86A05 PDFBibTeX XMLCite \textit{Y. Chen} et al., Eur. J. Appl. Math. 26, No. 6, 945--958 (2015; Zbl 1375.92078) Full Text: DOI
Siero, E.; Doelman, A.; Eppinga, M. B.; Rademacher, J. D. M.; Rietkerk, M.; Siteur, K. Striped pattern selection by advective reaction-diffusion systems: resilience of banded vegetation on slopes. (English) Zbl 1374.92167 Chaos 25, No. 3, 036411, 22 p. (2015). MSC: 92D40 35K57 PDFBibTeX XMLCite \textit{E. Siero} et al., Chaos 25, No. 3, 036411, 22 p. (2015; Zbl 1374.92167) Full Text: DOI Link
Doelman, Arjen; Veerman, Frits An explicit theory for pulses in two component, singularly perturbed, reaction-diffusion equations. (English) Zbl 1339.35021 J. Dyn. Differ. Equations 27, No. 3-4, 555-595 (2015). MSC: 35B25 35B36 35K57 PDFBibTeX XMLCite \textit{A. Doelman} and \textit{F. Veerman}, J. Dyn. Differ. Equations 27, No. 3--4, 555--595 (2015; Zbl 1339.35021) Full Text: DOI
Cangelosi, Richard A.; Wollkind, David J.; Kealy-Dichone, Bonni J.; Chaiya, Inthira Nonlinear stability analyses of Turing patterns for a mussel-algae model. (English) Zbl 1456.35028 J. Math. Biol. 70, No. 6, 1249-1294 (2015). MSC: 35B36 35K57 92D40 35B35 35B32 35K51 PDFBibTeX XMLCite \textit{R. A. Cangelosi} et al., J. Math. Biol. 70, No. 6, 1249--1294 (2015; Zbl 1456.35028) Full Text: DOI
Meyries, M.; Rademacher, J. D. M.; Siero, E. Quasi-linear parabolic reaction-diffusion systems: a user’s guide to well-posedness, spectra, and stability of travelling waves. (English) Zbl 1297.35110 SIAM J. Appl. Dyn. Syst. 13, No. 1, 249-275 (2014). MSC: 35K57 35K59 35C07 35B35 35B36 PDFBibTeX XMLCite \textit{M. Meyries} et al., SIAM J. Appl. Dyn. Syst. 13, No. 1, 249--275 (2014; Zbl 1297.35110) Full Text: DOI arXiv
Holmes, William R. An efficient, nonlinear stability analysis for detecting pattern formation in reaction diffusion systems. (English) Zbl 1283.92011 Bull. Math. Biol. 76, No. 1, 157-183 (2014). MSC: 92C15 35K57 35B35 35Q92 92C42 PDFBibTeX XMLCite \textit{W. R. Holmes}, Bull. Math. Biol. 76, No. 1, 157--183 (2014; Zbl 1283.92011) Full Text: DOI arXiv Link
Sherratt, Jonathan A. Numerical continuation of boundaries in parameter space between stable and unstable periodic travelling wave (wavetrain) solutions of partial differential equations. (English) Zbl 1271.65132 Adv. Comput. Math. 39, No. 1, 175-192 (2013). MSC: 65M99 35G61 35B35 35Q92 35K57 PDFBibTeX XMLCite \textit{J. A. Sherratt}, Adv. Comput. Math. 39, No. 1, 175--192 (2013; Zbl 1271.65132) Full Text: DOI