Krause, Andrew L.; Van Gorder, Robert A. A non-local cross-diffusion model of population dynamics II: exact, approximate, and numerical traveling waves in single- and multi-species populations. (English) Zbl 1448.92212 Bull. Math. Biol. 82, No. 8, Paper No. 113, 30 p. (2020). MSC: 92D25 35C07 PDFBibTeX XMLCite \textit{A. L. Krause} and \textit{R. A. Van Gorder}, Bull. Math. Biol. 82, No. 8, Paper No. 113, 30 p. (2020; Zbl 1448.92212) Full Text: DOI Link
Miyaji, Tomoyuki; Sviridova, Nina; Aihara, Kazuyuki; Zhao, Tiejun; Nakano, Akimasa Human photoplethysmogram through the Morse graph: searching for the saddle point in experimental data. (English) Zbl 1412.92156 Chaos 29, No. 4, 043121, 12 p. (2019). MSC: 92C50 PDFBibTeX XMLCite \textit{T. Miyaji} et al., Chaos 29, No. 4, 043121, 12 p. (2019; Zbl 1412.92156) Full Text: DOI
Smith-Roberge, Julien; Iron, David; Kolokolnikov, Theodore Pattern formation in bacterial colonies with density-dependent diffusion. (English) Zbl 1407.92030 Eur. J. Appl. Math. 30, No. 1, 196-218 (2019). MSC: 92C17 92D25 35Q92 37D45 PDFBibTeX XMLCite \textit{J. Smith-Roberge} et al., Eur. J. Appl. Math. 30, No. 1, 196--218 (2019; Zbl 1407.92030) Full Text: DOI
Banerjee, Malay; Ghorai, S.; Mukherjee, Nayana Study of cross-diffusion induced Turing patterns in a ratio-dependent prey-predator model via amplitude equations. (English) Zbl 1480.92164 Appl. Math. Modelling 55, 383-399 (2018). MSC: 92D25 PDFBibTeX XMLCite \textit{M. Banerjee} et al., Appl. Math. Modelling 55, 383--399 (2018; Zbl 1480.92164) Full Text: DOI
Peng, Yahong; Ling, Heyang Pattern formation in a ratio-dependent predator-prey model with cross-diffusion. (English) Zbl 1427.35126 Appl. Math. Comput. 331, 307-318 (2018). MSC: 35K57 92D25 35B35 35K51 37N25 35Q92 PDFBibTeX XMLCite \textit{Y. Peng} and \textit{H. Ling}, Appl. Math. Comput. 331, 307--318 (2018; Zbl 1427.35126) Full Text: DOI
Zhang, Yulin; Zhao, Maoxian; Su, Jionglong; Lu, Xiao; Lv, Kebo Novel model for cascading failure based on degree strength and its application in directed gene logic networks. (English) Zbl 1411.92126 Comput. Math. Methods Med. 2018, Article ID 8950794, 9 p. (2018). MSC: 92C42 92C40 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Comput. Math. Methods Med. 2018, Article ID 8950794, 9 p. (2018; Zbl 1411.92126) Full Text: DOI
Peng, Yahong; Zhang, Tonghua Turing instability and pattern induced by cross-diffusion in a predator-prey system with Allee effect. (English) Zbl 1410.92108 Appl. Math. Comput. 275, 1-12 (2016). MSC: 92D25 PDFBibTeX XMLCite \textit{Y. Peng} and \textit{T. Zhang}, Appl. Math. Comput. 275, 1--12 (2016; Zbl 1410.92108) Full Text: DOI
Álvarez-Arenas, Arturo; Belmonte-Beitia, Juan; Calvo, Gabriel F. Nonlinear waves in a simple model of high-grade glioma. (English) Zbl 1381.92039 Appl. Math. Nonlinear Sci. 1, No. 2, 405-422 (2016). MSC: 92C50 35C07 35C08 35B35 PDFBibTeX XMLCite \textit{A. Álvarez-Arenas} et al., Appl. Math. Nonlinear Sci. 1, No. 2, 405--422 (2016; Zbl 1381.92039) Full Text: DOI
Guin, Lakshmi Narayan Spatial patterns through Turing instability in a reaction-diffusion predator-prey model. (English) Zbl 07313336 Math. Comput. Simul. 109, 174-185 (2015). MSC: 35-XX 92-XX PDFBibTeX XMLCite \textit{L. N. Guin}, Math. Comput. Simul. 109, 174--185 (2015; Zbl 07313336) Full Text: DOI
Lefèvre, Claude; Picard, Philippe Risk models in insurance and epidemics: a bridge through randomized polynomials. (English) Zbl 1414.91212 Probab. Eng. Inf. Sci. 29, No. 3, 399-420 (2015). MSC: 91B30 92D30 33C65 33C45 PDFBibTeX XMLCite \textit{C. Lefèvre} and \textit{P. Picard}, Probab. Eng. Inf. Sci. 29, No. 3, 399--420 (2015; Zbl 1414.91212) Full Text: DOI
Knipl, Diána H.; Pilarczyk, Paweł; Röst, Gergely Rich bifurcation structure in a two-patch vaccination model. (English) Zbl 1354.92085 SIAM J. Appl. Dyn. Syst. 14, No. 2, 980-1017 (2015). MSC: 92D30 92-08 PDFBibTeX XMLCite \textit{D. H. Knipl} et al., SIAM J. Appl. Dyn. Syst. 14, No. 2, 980--1017 (2015; Zbl 1354.92085) Full Text: DOI Link
Cheng, Hongmei; Yuan, Rong The spreading property for a prey-predator reaction-diffusion system with fractional diffusion. (English) Zbl 1499.92064 Fract. Calc. Appl. Anal. 18, No. 3, 565-579 (2015). MSC: 92D25 26A33 33E12 35K91 35B35 35C07 PDFBibTeX XMLCite \textit{H. Cheng} and \textit{R. Yuan}, Fract. Calc. Appl. Anal. 18, No. 3, 565--579 (2015; Zbl 1499.92064) Full Text: DOI
McCalla, Scott G. Paladins as predators: invasive waves in a spatial evolutionary adversarial game. (English) Zbl 1304.35350 Discrete Contin. Dyn. Syst., Ser. B 19, No. 5, 1437-1457 (2014). MSC: 35K57 92D25 91A22 35C07 PDFBibTeX XMLCite \textit{S. G. McCalla}, Discrete Contin. Dyn. Syst., Ser. B 19, No. 5, 1437--1457 (2014; Zbl 1304.35350) Full Text: DOI
Tulumello, E.; Lombardo, M. C.; Sammartino, M. Cross-diffusion driven instability in a predator-prey system with cross-diffusion. (English) Zbl 1305.35093 Acta Appl. Math. 132, No. 1, 621-633 (2014). MSC: 35K57 35Q56 35K40 35R25 92D25 PDFBibTeX XMLCite \textit{E. Tulumello} et al., Acta Appl. Math. 132, No. 1, 621--633 (2014; Zbl 1305.35093) Full Text: DOI arXiv
Galiano, Gonzalo; Selgas, Virginia On a cross-diffusion segregation problem arising from a model of interacting particles. (English) Zbl 1295.35251 Nonlinear Anal., Real World Appl. 18, 34-49 (2014). MSC: 35K51 65M60 92D25 PDFBibTeX XMLCite \textit{G. Galiano} and \textit{V. Selgas}, Nonlinear Anal., Real World Appl. 18, 34--49 (2014; Zbl 1295.35251) Full Text: DOI arXiv
Gambino, G.; Lombardo, M. C.; Sammartino, M. Turing instability and traveling fronts for a nonlinear reaction-diffusion system with cross-diffusion. (English) Zbl 1320.35170 Math. Comput. Simul. 82, No. 6, 1112-1132 (2012). MSC: 35K40 35C07 35K57 92D25 PDFBibTeX XMLCite \textit{G. Gambino} et al., Math. Comput. Simul. 82, No. 6, 1112--1132 (2012; Zbl 1320.35170) Full Text: DOI
Baeumer, Boris; Kovács, Mihály; Meerschaert, Mark M. Fractional reproduction-dispersal equations and heavy tail dispersal kernels. (English) Zbl 1296.92195 Bull. Math. Biol. 69, No. 7, 2281-2297 (2007). MSC: 92D25 35K57 PDFBibTeX XMLCite \textit{B. Baeumer} et al., Bull. Math. Biol. 69, No. 7, 2281--2297 (2007; Zbl 1296.92195) Full Text: DOI
Biktashev, Vadim N.; Tsyganov, Mikhail A. Solitary waves in excitable systems with cross-diffusion. (English) Zbl 1370.35174 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2064, 3711-3730 (2005). MSC: 35K57 35Q51 92D25 PDFBibTeX XMLCite \textit{V. N. Biktashev} and \textit{M. A. Tsyganov}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2064, 3711--3730 (2005; Zbl 1370.35174) Full Text: DOI