Cao, Jianzhi; Sun, Hongyan; Hao, Pengmiao; Wang, Peiguang Bifurcation and Turing instability for a predator-prey model with nonlinear reaction cross-diffusion. (English) Zbl 1481.92099 Appl. Math. Modelling 89, Part 2, 1663-1677 (2021). MSC: 92D25 35K51 35Q92 PDFBibTeX XMLCite \textit{J. Cao} et al., Appl. Math. Modelling 89, Part 2, 1663--1677 (2021; Zbl 1481.92099) Full Text: DOI
Souna, Fethi; Lakmeche, Abdelkader; Djilali, Salih Spatiotemporal patterns in a diffusive predator-prey model with protection zone and predator harvesting. (English) Zbl 1495.92061 Chaos Solitons Fractals 140, Article ID 110180, 14 p. (2020). MSC: 92D25 92D40 PDFBibTeX XMLCite \textit{F. Souna} et al., Chaos Solitons Fractals 140, Article ID 110180, 14 p. (2020; Zbl 1495.92061) Full Text: DOI
Mukherjee, Nayana; Ghorai, S.; Banerjee, Malay Detection of Turing patterns in a three species food chain model via amplitude equation. (English) Zbl 1509.35037 Commun. Nonlinear Sci. Numer. Simul. 69, 219-236 (2019). MSC: 35B36 35B32 35K51 35K57 92D25 PDFBibTeX XMLCite \textit{N. Mukherjee} et al., Commun. Nonlinear Sci. Numer. Simul. 69, 219--236 (2019; Zbl 1509.35037) Full Text: DOI
Zhou, Zhi; Van Gorder, Robert A. Turing instability and colony formation in spatially extended Rosenzweig-MacArthur predator-prey models with allochthonous resources. (English) Zbl 1430.92082 Bull. Math. Biol. 81, No. 12, 5009-5053 (2019). MSC: 92D25 35Q92 92C15 92D40 PDFBibTeX XMLCite \textit{Z. Zhou} and \textit{R. A. Van Gorder}, Bull. Math. Biol. 81, No. 12, 5009--5053 (2019; Zbl 1430.92082) Full Text: DOI
Zhang, Jia-Fang Spatial patterns of a fractional type cross-diffusion Holling-Tanner model. (English) Zbl 1426.92067 Comput. Math. Appl. 76, No. 4, 957-965 (2018). MSC: 92D25 35Q92 35B09 35B45 35B50 PDFBibTeX XMLCite \textit{J.-F. Zhang}, Comput. Math. Appl. 76, No. 4, 957--965 (2018; Zbl 1426.92067) Full Text: DOI
Djilali, Salih Herd behavior in a predator-prey model with spatial diffusion: bifurcation analysis and Turing instability. (English) Zbl 1404.35454 J. Appl. Math. Comput. 58, No. 1-2, 125-149 (2018). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q92 35B32 35B35 35B40 35F10 92D25 PDFBibTeX XMLCite \textit{S. Djilali}, J. Appl. Math. Comput. 58, No. 1--2, 125--149 (2018; Zbl 1404.35454) Full Text: DOI
Peng, Yahong; Liu, Yangyang Turing instability and Hopf bifurcation in a diffusive Leslie-Gower predator-prey model. (English) Zbl 1354.35172 Math. Methods Appl. Sci. 39, No. 14, 4158-4170 (2016). Reviewer: Johannes Lankeit (Paderborn) MSC: 35Q92 35K57 35B32 92D25 35B35 PDFBibTeX XMLCite \textit{Y. Peng} and \textit{Y. Liu}, Math. Methods Appl. Sci. 39, No. 14, 4158--4170 (2016; Zbl 1354.35172) Full Text: DOI
Tang, Xiaosong; Song, Yongli Bifurcation analysis and Turing instability in a diffusive predator-prey model with herd behavior and hyperbolic mortality. (English) Zbl 1355.92098 Chaos Solitons Fractals 81, Part A, 303-314 (2015). MSC: 92D25 34C23 PDFBibTeX XMLCite \textit{X. Tang} and \textit{Y. Song}, Chaos Solitons Fractals 81, Part A, 303--314 (2015; Zbl 1355.92098) Full Text: DOI
Haile, Dawit; Xie, Zhifu Long-time behavior and Turing instability induced by cross-diffusion in a three species food chain model with a Holling type-II functional response. (English) Zbl 1328.35095 Math. Biosci. 267, 134-148 (2015). MSC: 35K57 35B36 37D45 92C15 92D40 PDFBibTeX XMLCite \textit{D. Haile} and \textit{Z. Xie}, Math. Biosci. 267, 134--148 (2015; Zbl 1328.35095) Full Text: DOI
Zhang, Guohong; Wang, Xiaoli Effect of diffusion and cross-diffusion in a predator-prey model with a transmissible disease in the predator species. (English) Zbl 1406.92537 Abstr. Appl. Anal. 2014, Article ID 167856, 12 p. (2014). MSC: 92D25 92D30 35Q92 PDFBibTeX XMLCite \textit{G. Zhang} and \textit{X. Wang}, Abstr. Appl. Anal. 2014, Article ID 167856, 12 p. (2014; Zbl 1406.92537) Full Text: DOI
Bie, Qunyi; Wang, Qiru; Yao, Zheng-an Cross-diffusion induced instability and pattern formation for a Holling type-II predator-prey model. (English) Zbl 1338.92095 Appl. Math. Comput. 247, 1-12 (2014). MSC: 92D25 PDFBibTeX XMLCite \textit{Q. Bie} et al., Appl. Math. Comput. 247, 1--12 (2014; Zbl 1338.92095) Full Text: DOI
Wang, Yu-Xia; Li, Wan-Tong Spatial patterns of the Holling-Tanner predator-prey model with nonlinear diffusion effects. (English) Zbl 1274.35392 Appl. Anal. 92, No. 10, 2168-2181 (2013). MSC: 35Q92 35K57 92D25 35B40 35B09 PDFBibTeX XMLCite \textit{Y.-X. Wang} and \textit{W.-T. Li}, Appl. Anal. 92, No. 10, 2168--2181 (2013; Zbl 1274.35392) Full Text: DOI
Banerjee, Malay; Banerjee, Santo Turing instabilities and spatio-temporal chaos in ratio-dependent Holling-Tanner model. (English) Zbl 1375.92077 Math. Biosci. 236, No. 1, 64-76 (2012). MSC: 92D40 92C15 PDFBibTeX XMLCite \textit{M. Banerjee} and \textit{S. Banerjee}, Math. Biosci. 236, No. 1, 64--76 (2012; Zbl 1375.92077) Full Text: DOI
Xie, Zhifu Cross-diffusion induced Turing instability for a three species food chain model. (English) Zbl 1243.35093 J. Math. Anal. Appl. 388, No. 1, 539-547 (2012). Reviewer: Yaping Liu (Pittsburg) MSC: 35K57 92D25 35K51 35K58 35B35 35Q92 PDFBibTeX XMLCite \textit{Z. Xie}, J. Math. Anal. Appl. 388, No. 1, 539--547 (2012; Zbl 1243.35093) Full Text: DOI