Berti, Diego; Corli, Andrea; Malaguti, Luisa The role of convection in the existence of wavefronts for biased movements. (English) Zbl 07822440 Math. Methods Appl. Sci. 47, No. 1, 491-515 (2024). MSC: 35K65 35C07 35K57 92D25 PDFBibTeX XMLCite \textit{D. Berti} et al., Math. Methods Appl. Sci. 47, No. 1, 491--515 (2024; Zbl 07822440) Full Text: DOI arXiv OA License
Wu, Chun; Huang, Xiaojie Boundedness and large time behavior for flux limitation in a two-species chemotaxis system. (English) Zbl 07820018 Qual. Theory Dyn. Syst. 23, No. 3, Paper No. 116, 14 p. (2024). MSC: 35A01 35B40 35K55 35Q92 92C17 PDFBibTeX XMLCite \textit{C. Wu} and \textit{X. Huang}, Qual. Theory Dyn. Syst. 23, No. 3, Paper No. 116, 14 p. (2024; Zbl 07820018) Full Text: DOI
Ayazoglu, Rabil; Kadakal, Mahir; Akkoyunlu, Ebubekir Dynamics in a parabolic-elliptic chemotaxis system with logistic source involving exponents depending on the spatial variables. (English) Zbl 07815392 Discrete Contin. Dyn. Syst., Ser. B 29, No. 5, 2110-2122 (2024). MSC: 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{R. Ayazoglu} et al., Discrete Contin. Dyn. Syst., Ser. B 29, No. 5, 2110--2122 (2024; Zbl 07815392) Full Text: DOI
Jung, Gerhard Mobility, response and transport in non-equilibrium coarse-grained models. (English) Zbl 07814451 J. Phys. A, Math. Theor. 57, No. 9, Article ID 095004, 16 p. (2024). MSC: 82-XX 70-XX PDFBibTeX XMLCite \textit{G. Jung}, J. Phys. A, Math. Theor. 57, No. 9, Article ID 095004, 16 p. (2024; Zbl 07814451) Full Text: DOI arXiv
Freingruber, Viktoria; Painter, Kevin J.; Ptashnyk, Mariya; Schumacher, Linus J. A biased random walk approach for modeling the collective chemotaxis of neural crest cells. (English) Zbl 07813262 J. Math. Biol. 88, No. 3, Paper No. 32, 32 p. (2024). MSC: 92C17 60G50 PDFBibTeX XMLCite \textit{V. Freingruber} et al., J. Math. Biol. 88, No. 3, Paper No. 32, 32 p. (2024; Zbl 07813262) Full Text: DOI arXiv OA License
Li, Yue; Chen, Li; Zhang, Zhipeng Convergence towards the population cross-diffusion system from stochastic many-particle system. (English) Zbl 07812206 Commun. Math. Res. 40, No. 1, 43-63 (2024). MSC: 35Q92 35K45 60J70 82C22 PDFBibTeX XMLCite \textit{Y. Li} et al., Commun. Math. Res. 40, No. 1, 43--63 (2024; Zbl 07812206) Full Text: DOI arXiv
Na, Jungkyoung Global well-posedness for a two-dimensional Keller-Segel-Euler system of consumption type. (English) Zbl 07808367 J. Differ. Equations 388, 188-214 (2024). MSC: 35Q92 35Q31 92C17 76B03 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{J. Na}, J. Differ. Equations 388, 188--214 (2024; Zbl 07808367) Full Text: DOI arXiv
Yang, Li; Xu, Lu; Pan, Xu Improvement of conditions for global boundedness in a predator-prey system with pursuit-evasion interaction. (English) Zbl 07805426 Discrete Contin. Dyn. Syst., Ser. B 29, No. 3, 1187-1205 (2024). MSC: 35A09 35K51 35K57 92C17 PDFBibTeX XMLCite \textit{L. Yang} et al., Discrete Contin. Dyn. Syst., Ser. B 29, No. 3, 1187--1205 (2024; Zbl 07805426) Full Text: DOI
Le, Minh Global existence of solutions in some chemotaxis systems with sub-logistic source under nonlinear Neumann boundary conditions in 2d. (English) Zbl 07804836 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 241, Article ID 113491, 12 p. (2024). MSC: 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{M. Le}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 241, Article ID 113491, 12 p. (2024; Zbl 07804836) Full Text: DOI
Geng, Dongxu; Wang, Hao; Jiang, Weihua; Wang, Hongbin Double-Hopf bifurcation and pattern formation of a Gause-Kolmogorov-type system with indirect prey-taxis and direct predator-taxis. (English) Zbl 07784293 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107647, 22 p. (2024). MSC: 35B32 35B15 35K51 35K57 92D25 PDFBibTeX XMLCite \textit{D. Geng} et al., Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107647, 22 p. (2024; Zbl 07784293) Full Text: DOI
Jaiswal, Anjali; Tyagi, Jagmohan Finite time blow-up in a parabolic-elliptic Keller-Segel system with flux dependent chemotactic coefficient. (English) Zbl 1526.35086 Nonlinear Anal., Real World Appl. 75, Article ID 103985, 33 p. (2024). MSC: 35B44 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{A. Jaiswal} and \textit{J. Tyagi}, Nonlinear Anal., Real World Appl. 75, Article ID 103985, 33 p. (2024; Zbl 1526.35086) Full Text: DOI
Chen, Yi-ren; Zou, Feifei Nonlinear stability of strong traveling waves for a chemotaxis model with logarithmic sensitivity and periodic perturbations. (English) Zbl 07793763 Math. Methods Appl. Sci. 46, No. 14, 15123-15146 (2023). MSC: 35B40 35C07 35K40 35K59 46N60 92C17 PDFBibTeX XMLCite \textit{Y.-r. Chen} and \textit{F. Zou}, Math. Methods Appl. Sci. 46, No. 14, 15123--15146 (2023; Zbl 07793763) Full Text: DOI
Eckmann, Jean-Pierre (ed.); Kruse, Karsten (ed.); Young, Lai-Sang (ed.) Mathematical foundations of biological organisation. Abstracts from the workshop held April 23–28, 2023. (English) Zbl 1528.92003 Oberwolfach Rep. 20, No. 2, 1085-1104 (2023). MSC: 92-06 00B05 00B25 92Bxx PDFBibTeX XMLCite \textit{J.-P. Eckmann} (ed.) et al., Oberwolfach Rep. 20, No. 2, 1085--1104 (2023; Zbl 1528.92003) Full Text: DOI
López, José Luis A repertoire of repulsive Keller-Segel models with logarithmic sensitivity: derivation, traveling waves, and quasi-stationary dynamics. (English) Zbl 07781297 Math. Methods Appl. Sci. 46, No. 2, 2197-2221 (2023). MSC: 35C07 35C08 35K40 35K59 92C17 PDFBibTeX XMLCite \textit{J. L. López}, Math. Methods Appl. Sci. 46, No. 2, 2197--2221 (2023; Zbl 07781297) Full Text: DOI OA License
Fu, Jingyi; Liang, Jiuyang; Perthame, Benoit; Tang, Min; Zhong, Chuhan Confined run-and-tumble model with boundary aggregation: long-time behavior and convergence to the confined Fokker-Planck model. (English) Zbl 07778947 Math. Models Methods Appl. Sci. 33, No. 13, 2743-2783 (2023). MSC: 35Q92 35Q84 92C17 35B40 65C05 65M06 65N06 60J99 35R60 PDFBibTeX XMLCite \textit{J. Fu} et al., Math. Models Methods Appl. Sci. 33, No. 13, 2743--2783 (2023; Zbl 07778947) Full Text: DOI arXiv
Gyllingberg, Linnéa; Sumpter, David J. T.; Brännström, Åke Finding analytical approximations for discrete, stochastic, individual-based models of ecology. (English) Zbl 07776295 Math. Biosci. 365, Article ID 109084, 13 p. (2023). Reviewer: Andrey Zahariev (Plovdiv) MSC: 92D40 93D25 39A60 PDFBibTeX XMLCite \textit{L. Gyllingberg} et al., Math. Biosci. 365, Article ID 109084, 13 p. (2023; Zbl 07776295) Full Text: DOI arXiv
Lin, Ke On the global existence of solutions to chemotaxis system for two populations in dimension two. (English) Zbl 07768299 Proc. R. Soc. Edinb., Sect. A, Math. 153, No. 6, 2106-2128 (2023). Reviewer: Neng Zhu (Nanchang) MSC: 35A01 92C17 PDFBibTeX XMLCite \textit{K. Lin}, Proc. R. Soc. Edinb., Sect. A, Math. 153, No. 6, 2106--2128 (2023; Zbl 07768299) Full Text: DOI
Glasner, Karl Segregation and domain formation in non-local multi-species aggregation equations. (English) Zbl 1527.35459 Physica D 456, Article ID 133936, 11 p. (2023). MSC: 35R09 35R35 PDFBibTeX XMLCite \textit{K. Glasner}, Physica D 456, Article ID 133936, 11 p. (2023; Zbl 1527.35459) Full Text: DOI
Evans, Josephine A.; Yoldaş, Havva On the asymptotic behavior of a run and tumble equation for bacterial chemotaxis. (English) Zbl 1527.35438 SIAM J. Math. Anal. 55, No. 6, 7635-7664 (2023). MSC: 35Q92 35Q20 92C17 35B40 PDFBibTeX XMLCite \textit{J. A. Evans} and \textit{H. Yoldaş}, SIAM J. Math. Anal. 55, No. 6, 7635--7664 (2023; Zbl 1527.35438) Full Text: DOI arXiv
Painter, Kevin J.; Winkler, Michael Phenotype switching in chemotaxis aggregation models controls the spontaneous emergence of large densities. (English) Zbl 07763815 SIAM J. Appl. Math. 83, No. 5, 2096-2117 (2023). Reviewer: Chunhua Jin (Guangzhou) MSC: 35B44 35B36 35B45 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{K. J. Painter} and \textit{M. Winkler}, SIAM J. Appl. Math. 83, No. 5, 2096--2117 (2023; Zbl 07763815) Full Text: DOI arXiv
Xu, Guangyu Emergence of large densities in a chemotaxis system with signaling loops, nonlinear signal productions and competitions sources under nonradial symmetry case. (English) Zbl 1526.35087 Discrete Contin. Dyn. Syst. 43, No. 12, 4361-4392 (2023). MSC: 35B44 35B25 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{G. Xu}, Discrete Contin. Dyn. Syst. 43, No. 12, 4361--4392 (2023; Zbl 1526.35087) Full Text: DOI
Le, Minh Global existence of solutions to the chemotaxis system with logistic source under nonlinear Neumann boundary conditions. (English) Zbl 1528.35071 J. Differ. Equations 377, 1-37 (2023). Reviewer: Philippe Laurençot (Chambéry) MSC: 35K51 35K61 35K57 PDFBibTeX XMLCite \textit{M. Le}, J. Differ. Equations 377, 1--37 (2023; Zbl 1528.35071) Full Text: DOI arXiv
Jiang, Chao; Lei, Yuzhu; Liu, Zuhan; Zhou, Ling Existence and asymptotic stability in a fractional chemotaxis system with competitive kinetics. (English) Zbl 1523.35045 Appl. Anal. 102, No. 12, 3283-3314 (2023). MSC: 35B40 35K51 35K59 35R11 92C17 PDFBibTeX XMLCite \textit{C. Jiang} et al., Appl. Anal. 102, No. 12, 3283--3314 (2023; Zbl 1523.35045) Full Text: DOI
Yu, Hao; Xue, Bingqian; Zhao, Lifen Critical mass curves for a short-ranged chemical signaling loop. (English) Zbl 1522.35112 Z. Angew. Math. Phys. 74, No. 5, Paper No. 191, 22 p. (2023). MSC: 35B44 35B51 35K59 92C17 PDFBibTeX XMLCite \textit{H. Yu} et al., Z. Angew. Math. Phys. 74, No. 5, Paper No. 191, 22 p. (2023; Zbl 1522.35112) Full Text: DOI
Heinze, Georg; Pietschmann, Jan-Frederik; Schmidtchen, Markus Nonlocal cross-interaction systems on graphs: energy landscape and dynamics. (English) Zbl 1522.35533 Kinet. Relat. Models 16, No. 6, 795-827 (2023). MSC: 35R02 35A15 49Q20 PDFBibTeX XMLCite \textit{G. Heinze} et al., Kinet. Relat. Models 16, No. 6, 795--827 (2023; Zbl 1522.35533) Full Text: DOI arXiv
Valencia-Guevara, Julio C.; Pérez, John; Abreu, Eduardo On the well-posedness via the JKO approach and a study of blow-up of solutions for a multispecies Keller-Segel chemotaxis system with no mass conservation. (English) Zbl 1522.35522 J. Math. Anal. Appl. 528, No. 2, Article ID 127602, 32 p. (2023). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35A15 35B40 35B44 PDFBibTeX XMLCite \textit{J. C. Valencia-Guevara} et al., J. Math. Anal. Appl. 528, No. 2, Article ID 127602, 32 p. (2023; Zbl 1522.35522) Full Text: DOI
Negreanu, M.; Tello, J. I.; Vargas, A. M. On a parabolic-ODE chemotaxis system with periodic asymptotic behavior. (English) Zbl 1521.35037 Dutta, Hemen (ed.), Mathematical modelling. Theory and application. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 787, 55-91 (2023). MSC: 35B40 35B10 35B25 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{M. Negreanu} et al., Contemp. Math. 787, 55--91 (2023; Zbl 1521.35037) Full Text: DOI
Favre, Gianluca; Pirner, Marlies; Schmeiser, Christian Hypocoercivity and reaction-diffusion limit for a nonlinear generation-recombination model. (English) Zbl 07727496 Arch. Ration. Mech. Anal. 247, No. 4, Paper No. 72, 15 p. (2023). MSC: 82Cxx 35Qxx 35Kxx PDFBibTeX XMLCite \textit{G. Favre} et al., Arch. Ration. Mech. Anal. 247, No. 4, Paper No. 72, 15 p. (2023; Zbl 07727496) Full Text: DOI arXiv
Fan, Xiuzhen; Zhou, Feng; Li, Yan Stationary pattern and Hopf bifurcation of a diffusive predator-prey model. (English) Zbl 1520.35006 Appl. Anal. 102, No. 8, 2141-2159 (2023). MSC: 35B32 35B35 35B36 35K51 35K57 37L10 92D25 PDFBibTeX XMLCite \textit{X. Fan} et al., Appl. Anal. 102, No. 8, 2141--2159 (2023; Zbl 1520.35006) Full Text: DOI
Zeng, Yanni Convergence to a diffusive contact wave for solutions to a system of hyperbolic balance laws. (English) Zbl 1518.35489 J. Hyperbolic Differ. Equ. 20, No. 1, 219-257 (2023). MSC: 35L65 35B40 35L45 92C17 PDFBibTeX XMLCite \textit{Y. Zeng}, J. Hyperbolic Differ. Equ. 20, No. 1, 219--257 (2023; Zbl 1518.35489) Full Text: DOI
Bailo, Rafael; Carrillo, José A.; Hu, Jingwei Bound-preserving finite-volume schemes for systems of continuity equations with saturation. (English) Zbl 1519.65026 SIAM J. Appl. Math. 83, No. 3, 1315-1339 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N08 92D25 35Q92 45K05 35R09 35B09 PDFBibTeX XMLCite \textit{R. Bailo} et al., SIAM J. Appl. Math. 83, No. 3, 1315--1339 (2023; Zbl 1519.65026) Full Text: DOI arXiv
Kiselev, Alexander; Nazarov, Fedor; Ryzhik, Lenya; Yao, Yao Chemotaxis and reactions in biology. (English) Zbl 1519.92032 J. Eur. Math. Soc. (JEMS) 25, No. 7, 2641-2696 (2023). MSC: 92C17 35K57 35K40 35K55 PDFBibTeX XMLCite \textit{A. Kiselev} et al., J. Eur. Math. Soc. (JEMS) 25, No. 7, 2641--2696 (2023; Zbl 1519.92032) Full Text: DOI arXiv
Chevyrev, Ilya; Hambly, Ben; Mayorcas, Avi A stochastic model of chemorepulsion with additive noise and nonlinear sensitivity. (English) Zbl 1519.92027 Stoch. Partial Differ. Equ., Anal. Comput. 11, No. 2, 730-772 (2023). MSC: 92C17 60H15 35K45 PDFBibTeX XMLCite \textit{I. Chevyrev} et al., Stoch. Partial Differ. Equ., Anal. Comput. 11, No. 2, 730--772 (2023; Zbl 1519.92027) Full Text: DOI arXiv
Wieczorek, Radosław Hydrodynamic limit of a stochastic model of proliferating cells with chemotaxis. (English) Zbl 07705745 Kinet. Relat. Models 16, No. 3, 373-393 (2023). MSC: 92C17 60K35 35Q70 60H30 PDFBibTeX XMLCite \textit{R. Wieczorek}, Kinet. Relat. Models 16, No. 3, 373--393 (2023; Zbl 07705745) Full Text: DOI arXiv
Fournier, Nicolas; Tomašević, Milica Particle approximation of the doubly parabolic Keller-Segel equation in the plane. (English) Zbl 07704847 J. Funct. Anal. 285, No. 7, Article ID 110064, 35 p. (2023). MSC: 60K35 60H30 35K57 PDFBibTeX XMLCite \textit{N. Fournier} and \textit{M. Tomašević}, J. Funct. Anal. 285, No. 7, Article ID 110064, 35 p. (2023; Zbl 07704847) Full Text: DOI arXiv
He, Fen; Wang, Zhen; Chen, Tingting The shock waves for a mixed-type system from chemotaxis. (English) Zbl 1524.35383 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 4, 1717-1734 (2023). MSC: 35L65 35M10 92C17 PDFBibTeX XMLCite \textit{F. He} et al., Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 4, 1717--1734 (2023; Zbl 1524.35383) Full Text: DOI
Beck, Lisa; Matthes, Daniel; Zizza, Martina Exponential convergence to equilibrium for coupled systems of nonlinear degenerate drift diffusion equations. (English) Zbl 1517.35036 SIAM J. Math. Anal. 55, No. 3, 1766-1809 (2023). MSC: 35B40 35A15 35K40 35K59 35Q92 PDFBibTeX XMLCite \textit{L. Beck} et al., SIAM J. Math. Anal. 55, No. 3, 1766--1809 (2023; Zbl 1517.35036) Full Text: DOI arXiv
Black, Tobias; Fuest, Mario; Lankeit, Johannes; Mizukami, Masaaki Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source. (English) Zbl 1517.35062 Nonlinear Anal., Real World Appl. 73, Article ID 103868, 14 p. (2023). MSC: 35B44 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{T. Black} et al., Nonlinear Anal., Real World Appl. 73, Article ID 103868, 14 p. (2023; Zbl 1517.35062) Full Text: DOI arXiv
Winkler, Michael \(L^1\) solutions to parabolic Keller-Segel systems involving arbitrary superlinear degradation. (English) Zbl 1517.35096 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 24, No. 1, 141-172 (2023). MSC: 35D30 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{M. Winkler}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 24, No. 1, 141--172 (2023; Zbl 1517.35096) Full Text: DOI
Li, Min; Xiang, Zhaoyin Convergence analysis from the indirect signal production to the direct one. (English) Zbl 1518.35040 J. Differ. Equations 367, 834-889 (2023). MSC: 35B25 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{M. Li} and \textit{Z. Xiang}, J. Differ. Equations 367, 834--889 (2023; Zbl 1518.35040) Full Text: DOI
Rosenzweig, Matthew; Serfaty, Sylvia Global-in-time mean-field convergence for singular Riesz-type diffusive flows. (English) Zbl 1516.35414 Ann. Appl. Probab. 33, No. 2, 954-998 (2023). MSC: 35Q83 35Q35 60H30 41A25 35R60 PDFBibTeX XMLCite \textit{M. Rosenzweig} and \textit{S. Serfaty}, Ann. Appl. Probab. 33, No. 2, 954--998 (2023; Zbl 1516.35414) Full Text: DOI arXiv
Ding, Weiwei; Huang, Rui; Yu, Xiao Bistable pulsating wave of a competition model in rapidly varying media and its homogenization limit. (English) Zbl 1514.35084 Discrete Contin. Dyn. Syst. 43, No. 6, 2337-2370 (2023). MSC: 35C07 35B27 35K45 35K57 92D25 PDFBibTeX XMLCite \textit{W. Ding} et al., Discrete Contin. Dyn. Syst. 43, No. 6, 2337--2370 (2023; Zbl 1514.35084) Full Text: DOI
Xu, Fuyi; Li, Xinliang On the global existence and time-decay rates for a parabolic-hyperbolic model arising from chemotaxis. (English) Zbl 1512.35596 Commun. Contemp. Math. 25, No. 3, Article ID 2150078, 28 p. (2023). MSC: 35Q92 92C17 35G55 35M31 35A01 35B65 PDFBibTeX XMLCite \textit{F. Xu} and \textit{X. Li}, Commun. Contemp. Math. 25, No. 3, Article ID 2150078, 28 p. (2023; Zbl 1512.35596) Full Text: DOI
Jin, Hai-Yang; Zou, Feifei Nonlinear stability of traveling waves to a parabolic-hyperbolic system modeling chemotaxis with periodic perturbations. (English) Zbl 1509.35093 J. Differ. Equations 352, 23-66 (2023). MSC: 35C07 35B35 35G55 46N60 62P10 92C17 PDFBibTeX XMLCite \textit{H.-Y. Jin} and \textit{F. Zou}, J. Differ. Equations 352, 23--66 (2023; Zbl 1509.35093) Full Text: DOI
Baghaei, khadijeh Blow-up of nonradial solutions to the hyperbolic-elliptic chemotaxis system with logistic source. (English) Zbl 1507.35044 C. R., Math., Acad. Sci. Paris 361, 207-215 (2023). MSC: 35B44 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{k. Baghaei}, C. R., Math., Acad. Sci. Paris 361, 207--215 (2023; Zbl 1507.35044) Full Text: DOI
Tao, Xueyan; Fang, Zhong Bo Global boundedness of solutions to a quasilinear chemotaxis system with nonlocal nonlinear reaction. (English) Zbl 1507.92015 Appl. Math. Optim. 87, No. 2, Paper No. 20, 20 p. (2023). Reviewer: Piotr Biler (Wrocław) MSC: 92C17 35Q92 35B40 35K59 PDFBibTeX XMLCite \textit{X. Tao} and \textit{Z. B. Fang}, Appl. Math. Optim. 87, No. 2, Paper No. 20, 20 p. (2023; Zbl 1507.92015) Full Text: DOI
Li, Jinlu; Yu, Yanghai; Zhu, Weipeng Ill-posedness issue on a multidimensional chemotaxis equations in the critical Besov spaces. (English) Zbl 1506.35276 J. Geom. Anal. 33, No. 3, Paper No. 84, 22 p. (2023). MSC: 35R25 35K45 35K59 92C17 PDFBibTeX XMLCite \textit{J. Li} et al., J. Geom. Anal. 33, No. 3, Paper No. 84, 22 p. (2023; Zbl 1506.35276) Full Text: DOI arXiv
Cai, Yuanyuan; Li, Zhongping A quasilinear attraction-repulsion chemotaxis system with logistic source. (English) Zbl 1505.35062 Nonlinear Anal., Real World Appl. 70, Article ID 103796, 16 p. (2023). MSC: 35B45 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{Y. Cai} and \textit{Z. Li}, Nonlinear Anal., Real World Appl. 70, Article ID 103796, 16 p. (2023; Zbl 1505.35062) Full Text: DOI
Mason, James; Jack, Robert L.; Bruna, Maria Macroscopic behaviour in a two-species exclusion process via the method of matched asymptotics. (English) Zbl 1502.60159 J. Stat. Phys. 190, No. 3, Paper No. 47, 38 p. (2023). MSC: 60K35 82C22 35K51 PDFBibTeX XMLCite \textit{J. Mason} et al., J. Stat. Phys. 190, No. 3, Paper No. 47, 38 p. (2023; Zbl 1502.60159) Full Text: DOI arXiv
Xu, Lu; Xin, Qiao; Yang, Hongying Boundedness in a three-component chemotaxis system with nonlinear diffusion for Alopecia areata. (English) Zbl 1505.35341 J. Math. Anal. Appl. 520, No. 2, Article ID 126893, 19 p. (2023). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35B40 35K65 PDFBibTeX XMLCite \textit{L. Xu} et al., J. Math. Anal. Appl. 520, No. 2, Article ID 126893, 19 p. (2023; Zbl 1505.35341) Full Text: DOI
Xue, Ling; Zhang, Min; Zhao, Kun; Zheng, Xiaoming Global stability under dynamic boundary conditions of a nonlinear PDE model arising from reinforced random walks. (English) Zbl 1502.35183 Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106913, 14 p. (2023). MSC: 35Q92 35B35 PDFBibTeX XMLCite \textit{L. Xue} et al., Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106913, 14 p. (2023; Zbl 1502.35183) Full Text: DOI
Kim, Yangjin; Lee, Junho; Lee, Chaeyoung; Lawler, Sean Role of senescent tumor cells in building a cytokine shield in the tumor microenvironment: mathematical modeling. (English) Zbl 1505.92049 J. Math. Biol. 86, No. 1, Paper No. 14, 42 p. (2023). MSC: 92C32 92C37 92C17 92C45 92C50 PDFBibTeX XMLCite \textit{Y. Kim} et al., J. Math. Biol. 86, No. 1, Paper No. 14, 42 p. (2023; Zbl 1505.92049) Full Text: DOI
Granero-Belinchón, Rafael A nonlocal model describing tumor angiogenesis. (English) Zbl 1503.35237 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 227, Article ID 113180, 15 p. (2023). MSC: 35Q92 92C17 92C37 35B44 35A01 35A02 92-08 PDFBibTeX XMLCite \textit{R. Granero-Belinchón}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 227, Article ID 113180, 15 p. (2023; Zbl 1503.35237) Full Text: DOI arXiv
Liu, Xu; Zheng, Jiashan Convergence rates of solutions in a predator-prey system with indirect pursuit-evasion interaction in domains of arbitrary dimension. (English) Zbl 1502.35019 Discrete Contin. Dyn. Syst., Ser. B 28, No. 3, 2269-2293 (2023). MSC: 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{X. Liu} and \textit{J. Zheng}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 3, 2269--2293 (2023; Zbl 1502.35019) Full Text: DOI
Wang, Chang-Jian; Zhao, Li-Xin; Zhu, Xin-Cai A blow-up result for attraction-repulsion system with nonlinear signal production and generalized logistic source. (English) Zbl 1505.35059 J. Math. Anal. Appl. 518, No. 1, Article ID 126679, 28 p. (2023). Reviewer: Christian Stinner (Darmstadt) MSC: 35B44 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{C.-J. Wang} et al., J. Math. Anal. Appl. 518, No. 1, Article ID 126679, 28 p. (2023; Zbl 1505.35059) Full Text: DOI
Xu, Guangyu Emergence of lager densities in chemotaxis system with indirect signal production and non-radial symmetry case. (English) Zbl 1498.35117 Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 722-747 (2023). MSC: 35B44 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{G. Xu}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 722--747 (2023; Zbl 1498.35117) Full Text: DOI arXiv
Zhang, Weiyi; Liu, Zuhan; Zhou, Ling Persistence phenomena of classical solutions to a fractional Keller-Segel model with time-space dependent logistic source. (English) Zbl 07812796 Math. Methods Appl. Sci. 45, No. 17, 11683-11713 (2022). MSC: 35K51 35R35 92B05 35B40 PDFBibTeX XMLCite \textit{W. Zhang} et al., Math. Methods Appl. Sci. 45, No. 17, 11683--11713 (2022; Zbl 07812796) Full Text: DOI
Wang, Zhi-An; Xu, Xin Radial spiky steady states of a flux-limited Keller-Segel model: existence, asymptotics, and stability. (English) Zbl 07776523 Stud. Appl. Math. 148, No. 3, 1251-1273 (2022). MSC: 35B32 35J57 35J61 92C17 PDFBibTeX XMLCite \textit{Z.-A. Wang} and \textit{X. Xu}, Stud. Appl. Math. 148, No. 3, 1251--1273 (2022; Zbl 07776523) Full Text: DOI
Xue, Ling; Zhang, Min; Zhao, Kun; Zheng, Xiaoming Controlled dynamics of a chemotaxis model with logarithmic sensitivity by physical boundary conditions. (English) Zbl 1512.35098 Electron. Res. Arch. 30, No. 12, 4530-4552 (2022). MSC: 35B40 35K51 35K58 92C17 PDFBibTeX XMLCite \textit{L. Xue} et al., Electron. Res. Arch. 30, No. 12, 4530--4552 (2022; Zbl 1512.35098) Full Text: DOI
Karmakar, Debabrata; Wolansky, Gershon On the critical mass Patlak-Keller-Segel system for multi-species populations: global existence and infinite time aggregation. (On the critical mass Patlak-Keller-Segel system for multi-species populations: global existence and infinte time aggregation.) (English) Zbl 1509.35047 Indiana Univ. Math. J. 71, No. 6, 2477-2527 (2022). Reviewer: Philippe Laurençot (Toulouse) MSC: 35B40 35K15 47J30 35B44 92C17 PDFBibTeX XMLCite \textit{D. Karmakar} and \textit{G. Wolansky}, Indiana Univ. Math. J. 71, No. 6, 2477--2527 (2022; Zbl 1509.35047) Full Text: DOI arXiv
Ojer, Jaume; López, Álvaro G.; Used, Javier; Sanjuán, Miguel A. F. A stochastic hybrid model with a fast concentration bias for chemotactic cellular attraction. (English) Zbl 1506.92009 Chaos Solitons Fractals 156, Article ID 111792, 8 p. (2022). MSC: 92C17 35Q92 PDFBibTeX XMLCite \textit{J. Ojer} et al., Chaos Solitons Fractals 156, Article ID 111792, 8 p. (2022; Zbl 1506.92009) Full Text: DOI
Guo, Liujie; Gao, Fei; Zhan, Hui Existence, uniqueness and \(L^\infty\)-bound for weak solutions of a time fractional Keller-Segel system. (English) Zbl 1504.35620 Chaos Solitons Fractals 160, Article ID 112185, 17 p. (2022). MSC: 35R11 35Q92 35D30 26A33 PDFBibTeX XMLCite \textit{L. Guo} et al., Chaos Solitons Fractals 160, Article ID 112185, 17 p. (2022; Zbl 1504.35620) Full Text: DOI
Loy, N.; Hillen, T.; Painter, K. J. Direction-dependent turning leads to anisotropic diffusion and persistence. (English) Zbl 1503.35239 Eur. J. Appl. Math. 33, No. 4, 729-765 (2022). MSC: 35Q92 35Q20 92C17 46N60 92C37 PDFBibTeX XMLCite \textit{N. Loy} et al., Eur. J. Appl. Math. 33, No. 4, 729--765 (2022; Zbl 1503.35239) Full Text: DOI arXiv
Jiang, Jie On a repulsion Keller-Segel system with a logarithmic sensitivity. (English) Zbl 1504.35054 Eur. J. Appl. Math. 33, No. 1, 153-181 (2022). MSC: 35B35 35D30 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{J. Jiang}, Eur. J. Appl. Math. 33, No. 1, 153--181 (2022; Zbl 1504.35054) Full Text: DOI arXiv
Burger, Martin; Pietschmann, Jan-Frederik; Ranetbauer, Helene; Schmeiser, Christian; Wolfram, Marie-Therese Mean-field models for segregation dynamics. (English) Zbl 1504.35140 Eur. J. Appl. Math. 33, No. 1, 111-132 (2022). MSC: 35G61 35B35 35B40 35R09 45K05 65N08 PDFBibTeX XMLCite \textit{M. Burger} et al., Eur. J. Appl. Math. 33, No. 1, 111--132 (2022; Zbl 1504.35140) Full Text: DOI arXiv
Ariel, G.; Ayali, A.; Be’er, A.; Knebel, D. Variability and heterogeneity in natural swarms: experiments and modeling. (English) Zbl 1504.92178 Bellomo, Nicola (ed.) et al., Active particles. Volume 3. Advances in theory, models, and applications. Cham: Birkhäuser. Model. Simul. Sci. Eng. Technol., 1-33 (2022). MSC: 92D50 35Q92 PDFBibTeX XMLCite \textit{G. Ariel} et al., in: Active particles. Volume 3. Advances in theory, models, and applications. Cham: Birkhäuser. 1--33 (2022; Zbl 1504.92178) Full Text: DOI
Giunta, Valeria; Hillen, Thomas; Lewis, Mark A.; Potts, Jonathan R. Detecting minimum energy states and multi-stability in nonlocal advection-diffusion models for interacting species. (English) Zbl 1501.35050 J. Math. Biol. 85, No. 5, Paper No. 56, 44 p. (2022). MSC: 35B36 35B38 35K51 35K59 35R09 92D25 92D40 PDFBibTeX XMLCite \textit{V. Giunta} et al., J. Math. Biol. 85, No. 5, Paper No. 56, 44 p. (2022; Zbl 1501.35050) Full Text: DOI arXiv
Macfarlane, Fiona R.; Lorenzi, Tommaso; Painter, Kevin J. The impact of phenotypic heterogeneity on chemotactic self-organisation. (English) Zbl 1508.92030 Bull. Math. Biol. 84, No. 12, Paper No. 143, 35 p. (2022). Reviewer: Takashi Suzuki (Osaka) MSC: 92C17 92C15 35B36 35B35 PDFBibTeX XMLCite \textit{F. R. Macfarlane} et al., Bull. Math. Biol. 84, No. 12, Paper No. 143, 35 p. (2022; Zbl 1508.92030) Full Text: DOI arXiv
Ma, Yu; Mu, Chunlai; Qiu, Shuyan Boundedness and asymptotic stability in a two-species predator-prey chemotaxis model. (English) Zbl 1500.35045 Discrete Contin. Dyn. Syst., Ser. B 27, No. 7, 4077-4095 (2022). MSC: 35B40 35K51 35K59 92C17 92D25 PDFBibTeX XMLCite \textit{Y. Ma} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 7, 4077--4095 (2022; Zbl 1500.35045) Full Text: DOI
Hassan, Sattar M.; Harfash, Akil J. Finite element analysis of a two-species chemotaxis system with two chemicals. (English) Zbl 1500.65060 Appl. Numer. Math. 182, 148-175 (2022). MSC: 65M60 65M06 65N30 35D30 35B65 92C17 92-08 35Q92 PDFBibTeX XMLCite \textit{S. M. Hassan} and \textit{A. J. Harfash}, Appl. Numer. Math. 182, 148--175 (2022; Zbl 1500.65060) Full Text: DOI
Hu, Runlin; Zheng, Pan; Gao, Zhangqin Boundedness of solutions in a quasilinear chemo-repulsion system with nonlinear signal production. (English) Zbl 1500.35027 Evol. Equ. Control Theory 11, No. 6, 2209-2219 (2022). MSC: 35B35 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{R. Hu} et al., Evol. Equ. Control Theory 11, No. 6, 2209--2219 (2022; Zbl 1500.35027) Full Text: DOI
Tian, Yu Approaching constant steady states in a Keller-Segel-Stokes system with subquadratic logistic growth. (English) Zbl 1503.35039 Discrete Contin. Dyn. Syst., Ser. B 27, No. 12, 7125-7150 (2022). Reviewer: Neng Zhu (Nanchang) MSC: 35B40 35K51 35K59 35Q35 92C17 PDFBibTeX XMLCite \textit{Y. Tian}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 12, 7125--7150 (2022; Zbl 1503.35039) Full Text: DOI
Winkler, Michael Approaching logarithmic singularities in quasilinear chemotaxis-consumption systems with signal-dependent sensitivities. (English) Zbl 1503.35051 Discrete Contin. Dyn. Syst., Ser. B 27, No. 11, 6565-6587 (2022). Reviewer: Neng Zhu (Nanchang) MSC: 35B45 35B65 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{M. Winkler}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 11, 6565--6587 (2022; Zbl 1503.35051) Full Text: DOI
Zhao, Jijie; Chen, Xiaoyu; Zhang, Qian Global existence of weak solutions for the 2D incompressible Keller-Segel-Navier-Stokes equations with partial diffusion. (English) Zbl 1504.35132 Acta Appl. Math. 181, Paper No. 8, 24 p. (2022). Reviewer: Chunhua Jin (Guangzhou) MSC: 35D30 35K51 35K59 35Q30 92C17 PDFBibTeX XMLCite \textit{J. Zhao} et al., Acta Appl. Math. 181, Paper No. 8, 24 p. (2022; Zbl 1504.35132) Full Text: DOI
Tello, J. Ignacio Radially symmetric solutions for a Keller-Segel system with flux limitation and nonlinear diffusion. (English) Zbl 1510.35022 Discrete Contin. Dyn. Syst., Ser. S 15, No. 10, 3003-3023 (2022). Reviewer: Anna Zhigun (Belfast) MSC: 35B07 35K51 35K92 92C17 35K59 35K65 PDFBibTeX XMLCite \textit{J. I. Tello}, Discrete Contin. Dyn. Syst., Ser. S 15, No. 10, 3003--3023 (2022; Zbl 1510.35022) Full Text: DOI
Zeng, Yanni; Zhao, Kun Asymptotic behavior of solutions to a chemotaxis-logistic model with transitional end-states. (English) Zbl 1496.35095 J. Differ. Equations 336, 1-43 (2022). MSC: 35B40 35K45 35L45 35K59 92C17 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{K. Zhao}, J. Differ. Equations 336, 1--43 (2022; Zbl 1496.35095) Full Text: DOI
Degond, Pierre; Hecht, Sophie; Romanos, Michèle; Trescases, Ariane Multi-species viscous models for tissue growth: incompressible limit and qualitative behaviour. (English) Zbl 1495.35146 J. Math. Biol. 85, No. 2, Paper No. 16, 47 p. (2022). MSC: 35Q35 35Q92 35R35 92C15 92C37 PDFBibTeX XMLCite \textit{P. Degond} et al., J. Math. Biol. 85, No. 2, Paper No. 16, 47 p. (2022; Zbl 1495.35146) Full Text: DOI arXiv
Alasio, Luca; Bruna, Maria; Fagioli, Simone; Schulz, Simon Existence and regularity for a system of porous medium equations with small cross-diffusion and nonlocal drifts. (English) Zbl 1510.35162 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 223, Article ID 113064, 49 p. (2022). Reviewer: Pierre-Étienne Druet (Darmstadt) MSC: 35K61 35K59 35K51 35D30 35Q92 PDFBibTeX XMLCite \textit{L. Alasio} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 223, Article ID 113064, 49 p. (2022; Zbl 1510.35162) Full Text: DOI arXiv
Berti, Diego; Corli, Andrea; Malaguti, Luisa Diffusion-convection reaction equations with sign-changing diffusivity and bistable reaction term. (English) Zbl 1491.35109 Nonlinear Anal., Real World Appl. 67, Article ID 103579, 29 p. (2022). MSC: 35C07 35K59 PDFBibTeX XMLCite \textit{D. Berti} et al., Nonlinear Anal., Real World Appl. 67, Article ID 103579, 29 p. (2022; Zbl 1491.35109) Full Text: DOI arXiv
Carrillo, J. A.; Delgadino, M. G.; Frank, R. L.; Lewin, M. Fast diffusion leads to partial mass concentration in Keller-Segel type stationary solutions. (English) Zbl 1495.35108 Math. Models Methods Appl. Sci. 32, No. 4, 831-850 (2022). Reviewer: Philippe Laurençot (Toulouse) MSC: 35K67 26D15 47J20 92C17 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Math. Models Methods Appl. Sci. 32, No. 4, 831--850 (2022; Zbl 1495.35108) Full Text: DOI arXiv
Tello, J. Ignacio On a comparison method for a parabolic-elliptic system of chemotaxis with density-suppressed motility and logistic growth. (English) Zbl 1490.35065 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 109, 23 p. (2022). MSC: 35B51 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{J. I. Tello}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 109, 23 p. (2022; Zbl 1490.35065) Full Text: DOI arXiv
Menci, Marta; Papi, Marco Existence of solutions for hybrid systems of differential equations under exogenous information with discontinuous source term. (English) Zbl 1505.34029 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 221, Article ID 112885, 20 p. (2022). MSC: 34A38 35K15 34A36 34A12 PDFBibTeX XMLCite \textit{M. Menci} and \textit{M. Papi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 221, Article ID 112885, 20 p. (2022; Zbl 1505.34029) Full Text: DOI
Shi, Weixuan; Zhang, Jianzhong; Xie, Mingfeng Optimal time-decay estimates in the critical framework for a chemotaxis model. (English) Zbl 1492.35379 Bull. Malays. Math. Sci. Soc. (2) 45, No. 3, 1003-1026 (2022). MSC: 35Q92 92C17 35G55 35M31 PDFBibTeX XMLCite \textit{W. Shi} et al., Bull. Malays. Math. Sci. Soc. (2) 45, No. 3, 1003--1026 (2022; Zbl 1492.35379) Full Text: DOI
Gomez, Justin; Holmes, Nathanael; Hansen, Austin; Adhikarla, Vikram; Gutova, Margarita; Rockne, Russell C.; Cho, Heyrim Mathematical modeling of therapeutic neural stem cell migration in mouse brain with and without brain tumors. (English) Zbl 1486.92083 Math. Biosci. Eng. 19, No. 3, 2592-2615 (2022). MSC: 92C50 92C37 92C17 PDFBibTeX XMLCite \textit{J. Gomez} et al., Math. Biosci. Eng. 19, No. 3, 2592--2615 (2022; Zbl 1486.92083) Full Text: DOI
Xie, Li; Ruan, Shigui On a macrophage and tumor cell chemotaxis system with both paracrine and autocrine loops. (English) Zbl 1487.35380 Commun. Pure Appl. Anal. 21, No. 4, 1447-1479 (2022). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35K55 35B40 PDFBibTeX XMLCite \textit{L. Xie} and \textit{S. Ruan}, Commun. Pure Appl. Anal. 21, No. 4, 1447--1479 (2022; Zbl 1487.35380) Full Text: DOI
Tu, Xinyu; Mu, Chunlai; Qiu, Shuyan Global asymptotic stability in a parabolic-elliptic chemotaxis system with competitive kinetics and loop. (English) Zbl 1487.35093 Appl. Anal. 101, No. 4, 1532-1551 (2022). MSC: 35B40 35B35 35B34 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{X. Tu} et al., Appl. Anal. 101, No. 4, 1532--1551 (2022; Zbl 1487.35093) Full Text: DOI
Wang, Zhi-An A kinetic chemotaxis model with internal states and temporal sensing. (English) Zbl 1486.35407 Kinet. Relat. Models 15, No. 1, 27-48 (2022). MSC: 35R09 35Q49 45K05 92C17 PDFBibTeX XMLCite \textit{Z.-A. Wang}, Kinet. Relat. Models 15, No. 1, 27--48 (2022; Zbl 1486.35407) Full Text: DOI arXiv
Li, Tong; Mathur, Nitesh Riemann problem for a non-strictly hyperbolic system in chemotaxis. (English) Zbl 1485.35287 Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 2173-2187 (2022). MSC: 35L45 35L60 35L65 35L67 35M31 92C17 PDFBibTeX XMLCite \textit{T. Li} and \textit{N. Mathur}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 2173--2187 (2022; Zbl 1485.35287) Full Text: DOI
Conte, Martina; Loy, Nadia Multi-cue kinetic model with non-local sensing for cell migration on a fiber network with chemotaxis. (English) Zbl 1489.35286 Bull. Math. Biol. 84, No. 3, Paper No. 42, 46 p. (2022). Reviewer: Philippe Laurençot (Toulouse) MSC: 35Q92 45K05 92C17 82C40 PDFBibTeX XMLCite \textit{M. Conte} and \textit{N. Loy}, Bull. Math. Biol. 84, No. 3, Paper No. 42, 46 p. (2022; Zbl 1489.35286) Full Text: DOI arXiv
Jeong, In-Jee; Kang, Kyungkeun Well-posedness and singularity formation for inviscid Keller-Segel-fluid system of consumption type. (English) Zbl 1508.35194 Commun. Math. Phys. 390, No. 3, 1175-1217 (2022). MSC: 35Q92 92C17 76B03 35B50 35B44 35A01 35A02 PDFBibTeX XMLCite \textit{I.-J. Jeong} and \textit{K. Kang}, Commun. Math. Phys. 390, No. 3, 1175--1217 (2022; Zbl 1508.35194) Full Text: DOI arXiv
Fernández-Romero, Antonio; Guillén-González, Francisco; Suárez, Antonio A glioblastoma PDE-ODE model including chemotaxis and vasculature. (English) Zbl 1485.35052 ESAIM, Math. Model. Numer. Anal. 56, No. 2, 407-431 (2022). MSC: 35B40 35Q92 47J35 65M60 92B05 92C17 PDFBibTeX XMLCite \textit{A. Fernández-Romero} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 2, 407--431 (2022; Zbl 1485.35052) Full Text: DOI arXiv
Peng, Hongyun; Wang, Zhi-An; Zhu, Changjiang Global weak solutions and asymptotics of a singular PDE-ODE chemotaxis system with discontinuous data. (English) Zbl 1484.35062 Sci. China, Math. 65, No. 2, 269-290 (2022). MSC: 35B40 35K51 35K59 35R05 92C17 PDFBibTeX XMLCite \textit{H. Peng} et al., Sci. China, Math. 65, No. 2, 269--290 (2022; Zbl 1484.35062) Full Text: DOI arXiv
Hashim, Mohammed H.; Harfash, Akil J. Finite element analysis of a Keller-Segel model with additional cross-diffusion and logistic source. II: Time convergence and numerical simulation. (English) Zbl 1524.35081 Comput. Math. Appl. 109, 216-234 (2022). MSC: 35B40 92C17 82C31 82D60 35Q30 PDFBibTeX XMLCite \textit{M. H. Hashim} and \textit{A. J. Harfash}, Comput. Math. Appl. 109, 216--234 (2022; Zbl 1524.35081) Full Text: DOI
Tuan, Nguyen Huy; Caraballo, Tomás; Van, Phan Thi Khanh; Au, Vo Van On a terminal value problem for parabolic reaction-diffusion systems with nonlocal coupled diffusivity terms. (English) Zbl 1483.35336 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106248, 29 p. (2022). MSC: 35R25 35R30 35K51 35K57 35R09 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106248, 29 p. (2022; Zbl 1483.35336) Full Text: DOI
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
Winkler, Michael Reaction-driven relaxation in three-dimensional Keller-Segel-Navier-Stokes interaction. (English) Zbl 1486.35102 Commun. Math. Phys. 389, No. 1, 439-489 (2022). Reviewer: Christian Stinner (Darmstadt) MSC: 35B65 35K51 35K59 35Q30 92C17 35B45 PDFBibTeX XMLCite \textit{M. Winkler}, Commun. Math. Phys. 389, No. 1, 439--489 (2022; Zbl 1486.35102) Full Text: DOI
Hausenblas, Erika; Mukherjee, Debopriya; Tran, Thanh The one-dimensional stochastic Keller-Segel model with time-homogeneous spatial Wiener processes. (English) Zbl 1479.60129 J. Differ. Equations 310, 506-554 (2022). MSC: 60H15 92C17 35A01 35B65 35K87 35K51 35Q92 PDFBibTeX XMLCite \textit{E. Hausenblas} et al., J. Differ. Equations 310, 506--554 (2022; Zbl 1479.60129) Full Text: DOI arXiv
Daus, Esther S.; Ptashnyk, Mariya; Raithel, Claudia Derivation of a fractional cross-diffusion system as the limit of a stochastic many-particle system driven by Lévy noise. (English) Zbl 1502.35177 J. Differ. Equations 309, 386-426 (2022). MSC: 35Q92 92B05 60G60 60J60 60G51 60G22 35B65 35A01 35A02 47H10 26A33 35R11 35R60 PDFBibTeX XMLCite \textit{E. S. Daus} et al., J. Differ. Equations 309, 386--426 (2022; Zbl 1502.35177) Full Text: DOI arXiv
Winkler, Michael Unlimited growth in logarithmic Keller-Segel systems. (English) Zbl 1480.35383 J. Differ. Equations 309, 74-97 (2022). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35B44 35B25 35K59 92C17 PDFBibTeX XMLCite \textit{M. Winkler}, J. Differ. Equations 309, 74--97 (2022; Zbl 1480.35383) Full Text: DOI
Park, Jeungeun; Aminzare, Zahra A mathematical description of bacterial chemotaxis in response to two stimuli. (English) Zbl 1476.92011 Bull. Math. Biol. 84, No. 1, Paper No. 9, 35 p. (2022). MSC: 92C17 92C70 92D25 35Q84 PDFBibTeX XMLCite \textit{J. Park} and \textit{Z. Aminzare}, Bull. Math. Biol. 84, No. 1, Paper No. 9, 35 p. (2022; Zbl 1476.92011) Full Text: DOI arXiv