Kurt, Halil Ibrahim; Shen, Wenxian Chemotaxis systems with singular sensitivity and logistic source: boundedness, persistence, absorbing set, and entire solutions. (English) Zbl 1501.35066 Nonlinear Anal., Real World Appl. 69, Article ID 103762, 27 p. (2023). MSC: 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{H. I. Kurt} and \textit{W. Shen}, Nonlinear Anal., Real World Appl. 69, Article ID 103762, 27 p. (2023; Zbl 1501.35066) Full Text: DOI arXiv
Shen, Wenxian; Xue, Shuwen Spreading speeds of a parabolic-parabolic chemotaxis model with logistic source on \(\mathbb{R}^N\). (English) Zbl 1501.35073 Discrete Contin. Dyn. Syst., Ser. S 15, No. 10, 2981-3002 (2022). Reviewer: Mario Fuest (Hannover) MSC: 35B40 35B09 35K55 92C17 PDFBibTeX XMLCite \textit{W. Shen} and \textit{S. Xue}, Discrete Contin. Dyn. Syst., Ser. S 15, No. 10, 2981--3002 (2022; Zbl 1501.35073) Full Text: DOI arXiv
Kurt, Halil Ibrahim; Shen, Wenxian Finite-time blow-up prevention by logistic source in parabolic-elliptic chemotaxis models with singular sensitivity in any dimensional setting. (English) Zbl 1455.35269 SIAM J. Math. Anal. 53, No. 1, 973-1003 (2021). MSC: 35Q92 92C17 35K55 35B44 35K51 35K57 PDFBibTeX XMLCite \textit{H. I. Kurt} and \textit{W. Shen}, SIAM J. Math. Anal. 53, No. 1, 973--1003 (2021; Zbl 1455.35269) Full Text: DOI arXiv
Salako, Rachidi B.; Shen, Wenxian Traveling wave solutions for fully parabolic Keller-Segel chemotaxis systems with a logistic source. (English) Zbl 1447.35101 Electron. J. Differ. Equ. 2020, Paper No. 53, 18 p. (2020). MSC: 35C07 35B35 35B40 35K57 35K45 92C17 PDFBibTeX XMLCite \textit{R. B. Salako} and \textit{W. Shen}, Electron. J. Differ. Equ. 2020, Paper No. 53, 18 p. (2020; Zbl 1447.35101) Full Text: Link
Issa, Tahir Bachar; Shen, Wenxian Pointwise persistence in full chemotaxis models with logistic source on bounded heterogeneous environments. (English) Zbl 1443.35058 J. Math. Anal. Appl. 490, No. 1, Article ID 124204, 29 p. (2020). MSC: 35K51 35B08 35B51 35Q92 92C17 PDFBibTeX XMLCite \textit{T. B. Issa} and \textit{W. Shen}, J. Math. Anal. Appl. 490, No. 1, Article ID 124204, 29 p. (2020; Zbl 1443.35058) Full Text: DOI arXiv
Salako, Rachidi B.; Shen, Wenxian Existence of traveling wave solutions to parabolic-elliptic-elliptic chemotaxis systems with logistic source. (English) Zbl 1439.35120 Discrete Contin. Dyn. Syst., Ser. S 13, No. 2, 293-319 (2020). MSC: 35C07 35B35 35B40 35K57 92C17 PDFBibTeX XMLCite \textit{R. B. Salako} and \textit{W. Shen}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 2, 293--319 (2020; Zbl 1439.35120) Full Text: DOI arXiv
Issa, Tahir Bachar; Shen, Wenxian Uniqueness and stability of coexistence states in two species models with/without chemotaxis on bounded heterogeneous environments. (English) Zbl 1439.35492 J. Dyn. Differ. Equations 31, No. 4, 2305-2338 (2019). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35B40 92C17 35K51 35K57 35A02 PDFBibTeX XMLCite \textit{T. B. Issa} and \textit{W. Shen}, J. Dyn. Differ. Equations 31, No. 4, 2305--2338 (2019; Zbl 1439.35492) Full Text: DOI arXiv
Issa, Tahir Bachar; Shen, Wenxian Persistence, coexistence and extinction in two species chemotaxis models on bounded heterogeneous environments. (English) Zbl 1439.35491 J. Dyn. Differ. Equations 31, No. 4, 1839-1871 (2019). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35B40 92C17 35K57 35K51 PDFBibTeX XMLCite \textit{T. B. Issa} and \textit{W. Shen}, J. Dyn. Differ. Equations 31, No. 4, 1839--1871 (2019; Zbl 1439.35491) Full Text: DOI arXiv
Salako, Rachidi B.; Shen, Wenxian; Xue, Shuwen Can chemotaxis speed up or slow down the spatial spreading in parabolic-elliptic Keller-Segel systems with logistic source? (English) Zbl 1479.35116 J. Math. Biol. 79, No. 4, 1455-1490 (2019). Reviewer: Evangelos Latos (Graz) MSC: 35B40 35B35 35K57 92C17 35K45 35K59 35C07 PDFBibTeX XMLCite \textit{R. B. Salako} et al., J. Math. Biol. 79, No. 4, 1455--1490 (2019; Zbl 1479.35116) Full Text: DOI arXiv
Salako, Rachidi B.; Shen, Wenxian Parabolic-elliptic chemotaxis model with space-time-dependent logistic sources on \(\mathbb{R}^N\). I: Persistence and asymptotic spreading. (English) Zbl 1426.35034 Math. Models Methods Appl. Sci. 28, No. 11, 2237-2273 (2018). Reviewer: Piotr Biler (Wrocław) MSC: 35B40 35Q92 92C17 35K55 PDFBibTeX XMLCite \textit{R. B. Salako} and \textit{W. Shen}, Math. Models Methods Appl. Sci. 28, No. 11, 2237--2273 (2018; Zbl 1426.35034) Full Text: DOI arXiv
Salako, Rachidi B.; Shen, Wenxian Parabolic-elliptic chemotaxis model with space-time dependent logistic sources on \(\mathbb{R}^N\). II: Existence, uniqueness, and stability of strictly positive entire solutions. (English) Zbl 1390.35379 J. Math. Anal. Appl. 464, No. 1, 883-910 (2018). MSC: 35Q92 92C17 35B40 35B35 35B08 PDFBibTeX XMLCite \textit{R. B. Salako} and \textit{W. Shen}, J. Math. Anal. Appl. 464, No. 1, 883--910 (2018; Zbl 1390.35379) Full Text: DOI arXiv
Issa, Tahir Bachar; Shen, Wenxian Dynamics in chemotaxis models of parabolic-elliptic type on bounded domain with time and space dependent logistic sources. (English) Zbl 1368.35017 SIAM J. Appl. Dyn. Syst. 16, No. 2, 926-973 (2017). MSC: 35B08 35B10 35B15 35B35 35B40 35K57 35Q92 92C17 PDFBibTeX XMLCite \textit{T. B. Issa} and \textit{W. Shen}, SIAM J. Appl. Dyn. Syst. 16, No. 2, 926--973 (2017; Zbl 1368.35017) Full Text: DOI arXiv