Gao, Daozhou; Lei, Chengxia; Peng, Rui; Zhang, Benben A diffusive SIS epidemic model with saturated incidence function in a heterogeneous environment. (English) Zbl 07789593 Nonlinearity 37, No. 2, Article ID 025002, 40 p. (2024). MSC: 35B40 35K51 35K57 92D30 PDFBibTeX XMLCite \textit{D. Gao} et al., Nonlinearity 37, No. 2, Article ID 025002, 40 p. (2024; Zbl 07789593) Full Text: DOI
Winkler, Michael Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration-consumption interaction. (English) Zbl 1525.35040 Nonlinearity 36, No. 8, 4438-4469 (2023). Reviewer: Philippe Laurençot (Chambéry) MSC: 35B40 35K65 35K20 35B35 35Q92 PDFBibTeX XMLCite \textit{M. Winkler}, Nonlinearity 36, No. 8, 4438--4469 (2023; Zbl 1525.35040) Full Text: DOI
Zhao, Xiangdong Boundedness in a logistic chemotaxis system with weakly singular sensitivity in dimension two. (English) Zbl 1522.92008 Nonlinearity 36, No. 7, 3909-3938 (2023). Reviewer: Christian Stinner (Darmstadt) MSC: 92C17 35Q92 35B45 PDFBibTeX XMLCite \textit{X. Zhao}, Nonlinearity 36, No. 7, 3909--3938 (2023; Zbl 1522.92008) Full Text: DOI
Hou, Qianqian Global solutions to the free boundary value problem of a chemotaxis-Navier-Stokes system. (English) Zbl 1512.35689 Nonlinearity 36, No. 5, 2310-2370 (2023). Reviewer: Yuanyuan Ke (Beijing) MSC: 35R35 35G61 35Q30 76D05 92C17 PDFBibTeX XMLCite \textit{Q. Hou}, Nonlinearity 36, No. 5, 2310--2370 (2023; Zbl 1512.35689) Full Text: DOI arXiv
Heihoff, Frederic Global solutions to a haptotaxis system with a potentially degenerate diffusion tensor in two and three dimensions. (English) Zbl 1512.35391 Nonlinearity 36, No. 2, 1245-1278 (2023). Reviewer: Johannes Lankeit (Hannover) MSC: 35K65 35D30 35K51 35K55 35Q92 92C17 PDFBibTeX XMLCite \textit{F. Heihoff}, Nonlinearity 36, No. 2, 1245--1278 (2023; Zbl 1512.35391) Full Text: DOI arXiv
Li, Yuxiang; Wang, Wanwan Finite-time blow-up and boundedness in a 2D Keller-Segel system with rotation. (English) Zbl 1505.35054 Nonlinearity 36, No. 1, 287-318 (2023). MSC: 35B44 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{Y. Li} and \textit{W. Wang}, Nonlinearity 36, No. 1, 287--318 (2023; Zbl 1505.35054) Full Text: DOI
Yomgne Diebou, Gael Well-posedness for chemotaxis-fluid models in arbitrary dimensions. (English) Zbl 1510.92039 Nonlinearity 35, No. 12, 6241-6283 (2022). Reviewer: Lingeshwaran Shangerganesh (Ponda) MSC: 92C17 35Q35 35K55 PDFBibTeX XMLCite \textit{G. Yomgne Diebou}, Nonlinearity 35, No. 12, 6241--6283 (2022; Zbl 1510.92039) Full Text: DOI arXiv
Hong, Liang; Wang, Jinhuan; Wang, Wei Critical curve for a two-species chemotaxis model with two chemicals in \(\mathbb{R}^2\). (English) Zbl 1500.35281 Nonlinearity 35, No. 10, 5530-5552 (2022). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35K55 35B40 PDFBibTeX XMLCite \textit{L. Hong} et al., Nonlinearity 35, No. 10, 5530--5552 (2022; Zbl 1500.35281) Full Text: DOI
Liu, Changfeng; Guo, Shangjiang Dynamics of a predator-prey system with nonlinear prey-taxis. (English) Zbl 1495.35172 Nonlinearity 35, No. 8, 4283-4316 (2022). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35K57 35B32 35B35 PDFBibTeX XMLCite \textit{C. Liu} and \textit{S. Guo}, Nonlinearity 35, No. 8, 4283--4316 (2022; Zbl 1495.35172) Full Text: DOI
Fujie, Kentaro; Senba, Takasi Global boundedness of solutions to a parabolic-parabolic chemotaxis system with local sensing in higher dimensions. (English) Zbl 1497.35475 Nonlinearity 35, No. 7, 3777-3811 (2022). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35K55 35B40 92C17 PDFBibTeX XMLCite \textit{K. Fujie} and \textit{T. Senba}, Nonlinearity 35, No. 7, 3777--3811 (2022; Zbl 1497.35475) Full Text: DOI arXiv
Li, Guanlin; Yao, Yao Two-species competition model with chemotaxis: well-posedness, stability and dynamics. (English) Zbl 1483.35034 Nonlinearity 35, No. 3, 1329-1359 (2022). MSC: 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{G. Li} and \textit{Y. Yao}, Nonlinearity 35, No. 3, 1329--1359 (2022; Zbl 1483.35034) Full Text: DOI arXiv
Fuest, Mario Global weak solutions to fully cross-diffusive systems with nonlinear diffusion and saturated taxis sensitivity. (English) Zbl 1481.35253 Nonlinearity 35, No. 1, 608-657 (2022). MSC: 35K51 35K59 35B45 35D30 92C17 PDFBibTeX XMLCite \textit{M. Fuest}, Nonlinearity 35, No. 1, 608--657 (2022; Zbl 1481.35253) Full Text: DOI arXiv
Lankeit, Johannes; Winkler, Michael Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary. (English) Zbl 1481.35023 Nonlinearity 35, No. 1, 719-749 (2022). MSC: 35B07 35K51 35K59 35J61 92C17 PDFBibTeX XMLCite \textit{J. Lankeit} and \textit{M. Winkler}, Nonlinearity 35, No. 1, 719--749 (2022; Zbl 1481.35023) Full Text: DOI arXiv
Fuest, Mario Blow-up profiles in quasilinear fully parabolic Keller-Segel systems. (English) Zbl 1481.35084 Nonlinearity 33, No. 5, 2306-2334 (2020). MSC: 35B44 35K51 35K59 35K65 92C17 35Q92 PDFBibTeX XMLCite \textit{M. Fuest}, Nonlinearity 33, No. 5, 2306--2334 (2020; Zbl 1481.35084) Full Text: DOI arXiv
Winkler, Michael Can simultaneous density-determined enhancement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities? (English) Zbl 1454.35224 Nonlinearity 33, No. 12, 6590-6623 (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35K65 35K57 35B40 92C17 35K51 PDFBibTeX XMLCite \textit{M. Winkler}, Nonlinearity 33, No. 12, 6590--6623 (2020; Zbl 1454.35224) Full Text: DOI
Lee, Chiun-Chang; Wang, Zhi-An; Yang, Wen Boundary-layer profile of a singularly perturbed nonlocal semi-linear problem arising in chemotaxis. (English) Zbl 1454.35151 Nonlinearity 33, No. 10, 5111-5141 (2020). MSC: 35J61 35J25 35J15 35B20 PDFBibTeX XMLCite \textit{C.-C. Lee} et al., Nonlinearity 33, No. 10, 5111--5141 (2020; Zbl 1454.35151) Full Text: DOI arXiv
Jin, Chunhua Global solvability and stabilization to a cancer invasion model with remodelling of ECM. (English) Zbl 1451.35236 Nonlinearity 33, No. 10, 5049-5079 (2020). MSC: 35Q92 35M13 92C17 35A09 35B40 PDFBibTeX XMLCite \textit{C. Jin}, Nonlinearity 33, No. 10, 5049--5079 (2020; Zbl 1451.35236) Full Text: DOI
Liu, Ji Global weak solutions in a three-dimensional degenerate chemotaxis-Navier-Stokes system modeling coral fertilization. (English) Zbl 1440.35331 Nonlinearity 33, No. 7, 3237-3267 (2020). MSC: 35Q92 35K55 35Q35 76D05 92C17 35A01 PDFBibTeX XMLCite \textit{J. Liu}, Nonlinearity 33, No. 7, 3237--3267 (2020; Zbl 1440.35331) Full Text: DOI
Wang, Jianping; Wang, Mingxin A predator-prey model with taxis mechanisms and stage structure for the predator. (English) Zbl 1440.35334 Nonlinearity 33, No. 7, 3134-3172 (2020). MSC: 35Q92 35A01 35A09 35B10 35B35 35B36 35K57 92C17 92D25 PDFBibTeX XMLCite \textit{J. Wang} and \textit{M. Wang}, Nonlinearity 33, No. 7, 3134--3172 (2020; Zbl 1440.35334) Full Text: DOI
Xiang, Tian; Zheng, Jiashan A new result for 2D boundedness of solutions to a chemotaxis-haptotaxis model with/without sub-logistic source. (English) Zbl 1425.35110 Nonlinearity 32, No. 12, 4890-4911 (2019). MSC: 35K59 35Q92 35K55 35K20 92C17 PDFBibTeX XMLCite \textit{T. Xiang} and \textit{J. Zheng}, Nonlinearity 32, No. 12, 4890--4911 (2019; Zbl 1425.35110) Full Text: DOI arXiv
Hong, Liang; Wang, Jinhuan; Yu, Hao; Zhang, Ying Critical mass for a two-species chemotaxis model with two chemicals in \(\mathbb{R}^2\). (English) Zbl 1442.35472 Nonlinearity 32, No. 12, 4762-4778 (2019). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35B44 92C17 35A01 PDFBibTeX XMLCite \textit{L. Hong} et al., Nonlinearity 32, No. 12, 4762--4778 (2019; Zbl 1442.35472) Full Text: DOI
Li, Jing; Pang, Peter Y. H.; Wang, Yifu Global boundedness and decay property of a three-dimensional Keller-Segel-Stokes system modeling coral fertilization. (English) Zbl 1419.35109 Nonlinearity 32, No. 8, 2815-2847 (2019). MSC: 35K57 35B65 35B40 92C17 35Q92 PDFBibTeX XMLCite \textit{J. Li} et al., Nonlinearity 32, No. 8, 2815--2847 (2019; Zbl 1419.35109) Full Text: DOI arXiv
Lankeit, Elisa; Lankeit, Johannes On the global generalized solvability of a chemotaxis model with signal absorption and logistic growth terms. (English) Zbl 1414.35240 Nonlinearity 32, No. 5, 1569-1596 (2019). MSC: 35Q92 35K51 35A01 92C17 PDFBibTeX XMLCite \textit{E. Lankeit} and \textit{J. Lankeit}, Nonlinearity 32, No. 5, 1569--1596 (2019; Zbl 1414.35240) Full Text: DOI arXiv
Ahn, Jaewook; Yoon, Changwook Global well-posedness and stability of constant equilibria in parabolic-elliptic chemotaxis systems without gradient sensing. (English) Zbl 1409.35104 Nonlinearity 32, No. 4, 1327-1351 (2019); corrigendum ibid. 33, No. 5, C5-C6 (2020). MSC: 35K55 92C17 PDFBibTeX XMLCite \textit{J. Ahn} and \textit{C. Yoon}, Nonlinearity 32, No. 4, 1327--1351 (2019; Zbl 1409.35104) Full Text: DOI
Ke, Yuanyuan; Zheng, Jiashan A note for global existence of a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant. (English) Zbl 1396.92009 Nonlinearity 31, No. 10, 4602-4620 (2018). MSC: 92C17 35K55 35K59 35K20 35Q92 PDFBibTeX XMLCite \textit{Y. Ke} and \textit{J. Zheng}, Nonlinearity 31, No. 10, 4602--4620 (2018; Zbl 1396.92009) Full Text: DOI
Perthame, Benoît; Yasuda, Shugo Stiff-response-induced instability for chemotactic bacteria and flux-limited Keller-Segel equation. (English) Zbl 1397.92101 Nonlinearity 31, No. 9, 4065-4089 (2018). MSC: 92C17 92C15 PDFBibTeX XMLCite \textit{B. Perthame} and \textit{S. Yasuda}, Nonlinearity 31, No. 9, 4065--4089 (2018; Zbl 1397.92101) Full Text: DOI arXiv
He, Siming Suppression of blow-up in parabolic-parabolic Patlak-Keller-Segel via strictly monotone shear flows. (English) Zbl 1395.35114 Nonlinearity 31, No. 8, 3651-3688 (2018). MSC: 35K51 92C17 35Q92 PDFBibTeX XMLCite \textit{S. He}, Nonlinearity 31, No. 8, 3651--3688 (2018; Zbl 1395.35114) Full Text: DOI arXiv
Winkler, Michael A critical blow-up exponent in a chemotaxis system with nonlinear signal production. (English) Zbl 1391.35240 Nonlinearity 31, No. 5, 2031-2056 (2018). MSC: 35K65 35Q92 35B44 35B33 92C17 PDFBibTeX XMLCite \textit{M. Winkler}, Nonlinearity 31, No. 5, 2031--2056 (2018; Zbl 1391.35240) Full Text: DOI Link
Horstmann, D.; Meinlschmidt, H.; Rehberg, J. The full Keller-Segel model is well-posed on nonsmooth domains. (English) Zbl 1421.35003 Nonlinearity 31, No. 4, 1560-1592 (2018). Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk) MSC: 35A01 35K59 35K45 35K57 35Q92 92C17 PDFBibTeX XMLCite \textit{D. Horstmann} et al., Nonlinearity 31, No. 4, 1560--1592 (2018; Zbl 1421.35003) Full Text: DOI arXiv
Espejo, Elio; Winkler, Michael Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier-Stokes system modeling coral fertilization. (English) Zbl 1392.35042 Nonlinearity 31, No. 4, 1227-1259 (2018). Reviewer: Piotr Biler (Wrocław) MSC: 35B40 35Q92 35Q30 35B65 35K55 92C17 PDFBibTeX XMLCite \textit{E. Espejo} and \textit{M. Winkler}, Nonlinearity 31, No. 4, 1227--1259 (2018; Zbl 1392.35042) Full Text: DOI
Yu, Hao; Wang, Wei; Zheng, Sining Criteria on global boundedness versus finite time blow-up to a two-species chemotaxis system with two chemicals. (English) Zbl 1382.35057 Nonlinearity 31, No. 2, 502-514 (2018). MSC: 35B44 35K57 35Q92 92C17 PDFBibTeX XMLCite \textit{H. Yu} et al., Nonlinearity 31, No. 2, 502--514 (2018; Zbl 1382.35057) Full Text: DOI
Chae, Myeongju; Kang, Kyungkeun; Lee, Jihoon; Lee, Ki-Ahm A regularity condition and temporal asymptotics for chemotaxis-fluid equations. (English) Zbl 1387.35448 Nonlinearity 31, No. 2, 351-387 (2018). MSC: 35Q30 35Q35 76D05 92C17 35B65 PDFBibTeX XMLCite \textit{M. Chae} et al., Nonlinearity 31, No. 2, 351--387 (2018; Zbl 1387.35448) Full Text: DOI
Winkler, Michael Global existence and slow grow-up in a quasilinear Keller-Segel system with exponentially decaying diffusivity. (English) Zbl 1382.35048 Nonlinearity 30, No. 2, 735-764 (2017). Reviewer: Christian Stinner (Darmstadt) MSC: 35B40 35B65 35B44 92C17 35Q92 35K51 35K59 PDFBibTeX XMLCite \textit{M. Winkler}, Nonlinearity 30, No. 2, 735--764 (2017; Zbl 1382.35048) Full Text: DOI
Jin, Hai-Yang; Xiang, Tian Boundedness and exponential convergence in a chemotaxis model for tumor invasion. (English) Zbl 1364.35127 Nonlinearity 29, No. 12, 3579-3596 (2016). MSC: 35K51 35B40 35B44 35K57 35Q92 92C17 PDFBibTeX XMLCite \textit{H.-Y. Jin} and \textit{T. Xiang}, Nonlinearity 29, No. 12, 3579--3596 (2016; Zbl 1364.35127) Full Text: DOI arXiv