Zhao, Shuangrui; Yu, Pei; Wang, Hongbin Spatiotemporal patterns in a Lengyel-Epstein model near a Turing-Hopf singular point. (English) Zbl 07821806 SIAM J. Appl. Math. 84, No. 2, 338-361 (2024). MSC: 35B32 35B36 35K57 35Q92 PDFBibTeX XMLCite \textit{S. Zhao} et al., SIAM J. Appl. Math. 84, No. 2, 338--361 (2024; Zbl 07821806) Full Text: DOI
Lv, Yehu Turing-Turing bifurcation in an activator-inhibitor system with gene expression time delay. (English) Zbl 07810034 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107836, 32 p. (2024). MSC: 35B32 35B10 35K51 35K57 37G05 37L10 92D25 PDFBibTeX XMLCite \textit{Y. Lv}, Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107836, 32 p. (2024; Zbl 07810034) Full Text: DOI
Asheghi, Rasoul Analysis of the Hopf bifurcation in a diffusive Gierer-Meinhardt model. (English) Zbl 07818621 Topol. Methods Nonlinear Anal. 62, No. 1, 83-104 (2023). MSC: 35K57 92D25 70K50 PDFBibTeX XMLCite \textit{R. Asheghi}, Topol. Methods Nonlinear Anal. 62, No. 1, 83--104 (2023; Zbl 07818621) Full Text: DOI Link
Li, Zunxian; Song, Yongli; Wu, Chufen Turing instability and Hopf bifurcation of a spatially discretized diffusive Brusselator model with zero-flux boundary conditions. (English) Zbl 1523.34013 Nonlinear Dyn. 111, No. 1, 713-731 (2023). MSC: 34A12 34C23 34D20 PDFBibTeX XMLCite \textit{Z. Li} et al., Nonlinear Dyn. 111, No. 1, 713--731 (2023; Zbl 1523.34013) Full Text: DOI
Souna, Fethi; Belabbas, Mustapha; Menacer, Youssaf Complex pattern formations induced by the presence of cross-diffusion in a generalized predator-prey model incorporating the Holling type functional response and generalization of habitat complexity effect. (English) Zbl 07619075 Math. Comput. Simul. 204, 597-618 (2023). MSC: 92-XX 35-XX PDFBibTeX XMLCite \textit{F. Souna} et al., Math. Comput. Simul. 204, 597--618 (2023; Zbl 07619075) Full Text: DOI
Asheghi, Rasoul Hopf bifurcation analysis in a Gierer-Meinhardt activator-inhibitor model. (English) Zbl 1495.35021 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 9, Article ID 2250132, 21 p. (2022). MSC: 35B32 35B35 35K51 35K57 37L10 92D25 PDFBibTeX XMLCite \textit{R. Asheghi}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 9, Article ID 2250132, 21 p. (2022; Zbl 1495.35021) Full Text: DOI
Yang, Rui; Yu, Xiao-Qing Turing-Hopf bifurcation in diffusive Gierer-Meinhardt model. (English) Zbl 1487.35047 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 4, Article ID 2250046, 20 p. (2022). MSC: 35B32 35B36 35K51 35K57 37L10 92C15 PDFBibTeX XMLCite \textit{R. Yang} and \textit{X.-Q. Yu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 4, Article ID 2250046, 20 p. (2022; Zbl 1487.35047) Full Text: DOI
Chen, Mengxin; Wu, Ranchao; Xu, Yancong Dynamics of a depletion-type Gierer-Meinhardt model with Langmuir-Hinshelwood reaction scheme. (English) Zbl 1492.35357 Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 2275-2312 (2022). MSC: 35Q92 92D25 92C15 35K57 35B32 35B45 35B35 PDFBibTeX XMLCite \textit{M. Chen} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 2275--2312 (2022; Zbl 1492.35357) Full Text: DOI
Zhong, Shihong; Cheng, Xuehan; Liu, Biao Spatiotemporal dynamics for a diffusive mussel-algae model near a Hopf bifurcation point. (English) Zbl 1494.35147 Adv. Difference Equ. 2021, Paper No. 182, 20 p. (2021). MSC: 35Q92 35K57 92D40 PDFBibTeX XMLCite \textit{S. Zhong} et al., Adv. Difference Equ. 2021, Paper No. 182, 20 p. (2021; Zbl 1494.35147) Full Text: DOI
Zhong, Shihong; Xia, Juandi; Liu, Biao Spatiotemporal dynamics analysis of a semi-discrete reaction-diffusion Mussel-Algae system with advection. (English) Zbl 1498.35339 Chaos Solitons Fractals 151, Article ID 111282, 12 p. (2021). MSC: 35K57 37M20 37N25 PDFBibTeX XMLCite \textit{S. Zhong} et al., Chaos Solitons Fractals 151, Article ID 111282, 12 p. (2021; Zbl 1498.35339) Full Text: DOI
Tao, Xiangyu; Zhu, Linhe Study of periodic diffusion and time delay induced spatiotemporal patterns in a predator-prey system. (English) Zbl 1498.92178 Chaos Solitons Fractals 150, Article ID 111101, 13 p. (2021). MSC: 92D25 35Q92 92C15 PDFBibTeX XMLCite \textit{X. Tao} and \textit{L. Zhu}, Chaos Solitons Fractals 150, Article ID 111101, 13 p. (2021; Zbl 1498.92178) Full Text: DOI
Sun, Anna; Wu, Ranchao; Chen, Mengxin Turing-Hopf bifurcation analysis in a diffusive Gierer-Meinhardt model. (English) Zbl 1484.35266 AIMS Math. 6, No. 2, 1920-1942 (2021). MSC: 35K57 35B32 PDFBibTeX XMLCite \textit{A. Sun} et al., AIMS Math. 6, No. 2, 1920--1942 (2021; Zbl 1484.35266) Full Text: DOI
Zhong, Shihong; Wang, Jinliang; Xia, Juandi; Li, You Spatiotemporal dynamics and pattern formations of an activator-substrate model with double saturation terms. (English) Zbl 1471.35030 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 9, Article ID 2150129, 27 p. (2021). MSC: 35B32 35K51 35K57 37L10 92D25 35B36 PDFBibTeX XMLCite \textit{S. Zhong} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 9, Article ID 2150129, 27 p. (2021; Zbl 1471.35030) Full Text: DOI
Chen, Mengxin; Wu, Ranchao; Chen, Liping Pattern dynamics in a diffusive Gierer-Meinhardt model. (English) Zbl 1450.35057 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 12, Article ID 2030035, 26 p. (2020). MSC: 35B36 35K57 35K51 PDFBibTeX XMLCite \textit{M. Chen} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 12, Article ID 2030035, 26 p. (2020; Zbl 1450.35057) Full Text: DOI
Chen, Mengxin; Wu, Ranchao; Chen, Liping Spatiotemporal patterns induced by Turing and Turing-Hopf bifurcations in a predator-prey system. (English) Zbl 1460.92163 Appl. Math. Comput. 380, Article ID 125300, 14 p. (2020). MSC: 92D25 92C15 35B32 35Q92 PDFBibTeX XMLCite \textit{M. Chen} et al., Appl. Math. Comput. 380, Article ID 125300, 14 p. (2020; Zbl 1460.92163) Full Text: DOI
Zhang, Guang; Zhang, Ruixuan; Yan, Yubin The diffusion-driven instability and complexity for a single-handed discrete Fisher equation. (English) Zbl 1433.39003 Appl. Math. Comput. 371, Article ID 124946, 17 p. (2020). MSC: 39A10 39A30 PDFBibTeX XMLCite \textit{G. Zhang} et al., Appl. Math. Comput. 371, Article ID 124946, 17 p. (2020; Zbl 1433.39003) Full Text: DOI Link
Wang, Jingjing; Jia, Yunfeng Analysis on bifurcation and stability of a generalized Gray-Scott chemical reaction model. (English) Zbl 07568478 Physica A 528, Article ID 121394, 11 p. (2019). MSC: 82-XX 37M20 58J55 35K57 PDFBibTeX XMLCite \textit{J. Wang} and \textit{Y. Jia}, Physica A 528, Article ID 121394, 11 p. (2019; Zbl 07568478) Full Text: DOI
Yang, Gaoxiang; Zhang, Fuchen Analysis of effects of delays and diffusion on a predator-prey system. (English) Zbl 1426.35135 Math. Probl. Eng. 2018, Article ID 2104205, 12 p. (2018). MSC: 35K51 92D25 35Q92 PDFBibTeX XMLCite \textit{G. Yang} and \textit{F. Zhang}, Math. Probl. Eng. 2018, Article ID 2104205, 12 p. (2018; Zbl 1426.35135) Full Text: DOI
Miao, Baojun Persistence and Turing instability in a cross-diffusive predator-prey system with generalist predator. (English) Zbl 1446.37091 Adv. Difference Equ. 2018, Paper No. 260, 20 p. (2018). MSC: 37N25 92D25 PDFBibTeX XMLCite \textit{B. Miao}, Adv. Difference Equ. 2018, Paper No. 260, 20 p. (2018; Zbl 1446.37091) Full Text: DOI