Khan, Kamruzzaman; Schaerf, Timothy M.; Du, Yihong Effects of environmental heterogeneity on species spreading via numerical analysis of some free boundary models. (English) Zbl 1521.35103 Discrete Contin. Dyn. Syst., Ser. B 28, No. 12, 6248-6288 (2023). MSC: 35K51 35K57 92D25 65M22 PDFBibTeX XMLCite \textit{K. Khan} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 12, 6248--6288 (2023; Zbl 1521.35103) Full Text: DOI
Du, Yihong Propagation and reaction-diffusion models with free boundaries. (English) Zbl 1486.35479 Bull. Math. Sci. 12, No. 1, Article ID 2230001, 56 p. (2022). MSC: 35R35 35K20 35K57 35K58 92D25 92D30 PDFBibTeX XMLCite \textit{Y. Du}, Bull. Math. Sci. 12, No. 1, Article ID 2230001, 56 p. (2022; Zbl 1486.35479) Full Text: DOI
Du, Yihong; Wu, Chang-Hong Classification of the spreading behaviors of a two-species diffusion-competition system with free boundaries. (English) Zbl 1485.35432 Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 54, 34 p. (2022). MSC: 35R35 35K51 35K57 92B05 92D25 PDFBibTeX XMLCite \textit{Y. Du} and \textit{C.-H. Wu}, Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 54, 34 p. (2022; Zbl 1485.35432) Full Text: DOI
Du, Yihong; Wang, Mingxin; Zhao, Meng Two species nonlocal diffusion systems with free boundaries. (English) Zbl 1483.35347 Discrete Contin. Dyn. Syst. 42, No. 3, 1127-1162 (2022). MSC: 35R35 35B40 35K51 35K57 35R09 92D25 PDFBibTeX XMLCite \textit{Y. Du} et al., Discrete Contin. Dyn. Syst. 42, No. 3, 1127--1162 (2022; Zbl 1483.35347) Full Text: DOI arXiv
Du, Yihong; Li, Fang; Zhou, Maolin Semi-wave and spreading speed of the nonlocal Fisher-KPP equation with free boundaries. (English. French summary) Zbl 1473.35665 J. Math. Pures Appl. (9) 154, 30-66 (2021). MSC: 35R35 35K20 35K57 PDFBibTeX XMLCite \textit{Y. Du} et al., J. Math. Pures Appl. (9) 154, 30--66 (2021; Zbl 1473.35665) Full Text: DOI arXiv
Khan, Kamruzzaman; Liu, Shuang; Schaerf, Timothy M.; Du, Yihong Invasive behaviour under competition via a free boundary model: a numerical approach. (English) Zbl 1477.35285 J. Math. Biol. 83, No. 3, Paper No. 23, 43 p. (2021). MSC: 35Q92 35K51 92D25 65M22 92-08 35R35 PDFBibTeX XMLCite \textit{K. Khan} et al., J. Math. Biol. 83, No. 3, Paper No. 23, 43 p. (2021; Zbl 1477.35285) Full Text: DOI
Wang, Rong; Du, Yihong Long-time dynamics of a diffusive epidemic model with free boundaries. (English) Zbl 1466.35047 Discrete Contin. Dyn. Syst., Ser. B 26, No. 4, 2201-2238 (2021). MSC: 35B40 35K20 35K57 35R35 92D25 PDFBibTeX XMLCite \textit{R. Wang} and \textit{Y. Du}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 4, 2201--2238 (2021; Zbl 1466.35047) Full Text: DOI
Du, Yihong; Gui, Changfeng; Wang, Kelei; Zhou, Maolin Semi-waves with \(\Lambda\)-shaped free boundary for nonlinear Stefan problems: existence. (English) Zbl 1461.35249 Proc. Am. Math. Soc. 149, No. 5, 2091-2104 (2021). MSC: 35R35 35C07 35K20 35K58 PDFBibTeX XMLCite \textit{Y. Du} et al., Proc. Am. Math. Soc. 149, No. 5, 2091--2104 (2021; Zbl 1461.35249) Full Text: DOI
Zhao, Meng; Li, Wantong; Du, Yihong The effect of nonlocal reaction in an epidemic model with nonlocal diffusion and free boundaries. (English) Zbl 1460.35400 Commun. Pure Appl. Anal. 19, No. 9, 4599-4620 (2020). MSC: 35R35 35K57 35K51 35R09 92D30 35B40 PDFBibTeX XMLCite \textit{M. Zhao} et al., Commun. Pure Appl. Anal. 19, No. 9, 4599--4620 (2020; Zbl 1460.35400) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. Du}, SN Partial Differ. Equ. Appl. 1, No. 5, Paper No. 35, 24 p. (2020; Zbl 1465.35004) Full Text: DOI
Zhao, Meng; Zhang, Yang; Li, Wan-Tong; Du, Yihong The dynamics of a degenerate epidemic model with nonlocal diffusion and free boundaries. (English) Zbl 1442.35486 J. Differ. Equations 269, No. 4, 3347-3386 (2020). MSC: 35Q92 92D30 35K51 45G15 PDFBibTeX XMLCite \textit{M. Zhao} et al., J. Differ. Equations 269, No. 4, 3347--3386 (2020; Zbl 1442.35486) Full Text: DOI arXiv
Cao, Jia-Feng; Du, Yihong; Li, Fang; Li, Wan-Tong The dynamics of a Fisher-KPP nonlocal diffusion model with free boundaries. (English) Zbl 1418.35229 J. Funct. Anal. 277, No. 8, 2772-2814 (2019). MSC: 35K57 35R20 35Q92 92D25 PDFBibTeX XMLCite \textit{J.-F. Cao} et al., J. Funct. Anal. 277, No. 8, 2772--2814 (2019; Zbl 1418.35229) Full Text: DOI arXiv
Du, Yihong; Wu, Chang-Hong Spreading with two speeds and mass segregation in a diffusive competition system with free boundaries. (English) Zbl 1396.35028 Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 52, 36 p. (2018). Reviewer: Andrey Zahariev (Plovdiv) MSC: 35K51 35J87 35Q92 92B05 PDFBibTeX XMLCite \textit{Y. Du} and \textit{C.-H. Wu}, Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 52, 36 p. (2018; Zbl 1396.35028) Full Text: DOI arXiv
Lei, Chengxia; Nie, Hua; Dong, Wei; Du, Yihong Spreading of two competing species governed by a free boundary model in a shifting environment. (English) Zbl 1390.35377 J. Math. Anal. Appl. 462, No. 2, 1254-1282 (2018). MSC: 35Q92 35R35 92D25 35B40 PDFBibTeX XMLCite \textit{C. Lei} et al., J. Math. Anal. Appl. 462, No. 2, 1254--1282 (2018; Zbl 1390.35377) Full Text: DOI
Ai, Shangbing; Du, Yihong; Peng, Rui Traveling waves for a generalized Holling-Tanner predator-prey model. (English) Zbl 1375.34070 J. Differ. Equations 263, No. 11, 7782-7814 (2017). MSC: 34C37 35C07 35K10 35Q92 92D25 92D30 PDFBibTeX XMLCite \textit{S. Ai} et al., J. Differ. Equations 263, No. 11, 7782--7814 (2017; Zbl 1375.34070) Full Text: DOI
Du, Yihong; Wang, Mingxin; Zhou, Maolin Semi-wave and spreading speed for the diffusive competition model with a free boundary. (English. French summary) Zbl 1377.35136 J. Math. Pures Appl. (9) 107, No. 3, 253-287 (2017). MSC: 35K51 35R35 35B40 92D25 92B05 35Q92 PDFBibTeX XMLCite \textit{Y. Du} et al., J. Math. Pures Appl. (9) 107, No. 3, 253--287 (2017; Zbl 1377.35136) Full Text: DOI arXiv
Du, Yihong; Lin, Zhigui The diffusive competition model with a free boundary: invasion of a superior or inferior competitor. (English) Zbl 1310.35245 Discrete Contin. Dyn. Syst., Ser. B 19, No. 10, 3105-3132 (2014). MSC: 35R35 35K20 35J60 92B05 PDFBibTeX XMLCite \textit{Y. Du} and \textit{Z. Lin}, Discrete Contin. Dyn. Syst., Ser. B 19, No. 10, 3105--3132 (2014; Zbl 1310.35245) Full Text: DOI arXiv
Du, Yihong; Guo, Zongming; Peng, Rui A diffusive logistic model with a free boundary in time-periodic environment. (English) Zbl 1282.35419 J. Funct. Anal. 265, No. 9, 2089-2142 (2013). MSC: 35R35 35K20 PDFBibTeX XMLCite \textit{Y. Du} et al., J. Funct. Anal. 265, No. 9, 2089--2142 (2013; Zbl 1282.35419) Full Text: DOI