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Applicable Analysis
An International Journal
Volume 97, 2018 - Issue 13
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Articles

Critical mass for an attraction–repulsion chemotaxis system

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Pages 2349-2354 | Received 25 Oct 2016, Accepted 02 Aug 2017, Published online: 01 Sep 2017

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Read on this site (2)

Alessandro Columbu, Silvia Frassu & Giuseppe Viglialoro. (2024) Refined criteria toward boundedness in an attraction–repulsion chemotaxis system with nonlinear productions. Applicable Analysis 103:2, pages 415-431.
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Articles from other publishers (12)

Hua Zhong. (2024) Critical mass phenomenon for a parabolic–elliptic multispecies chemotaxis system in a two‐dimensional disk. Mathematical Methods in the Applied Sciences.
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Chang-Jian Wang, Zi-Han Zheng & Xin-Cai Zhu. (2024) Dynamic behavior analysis to a generalized chemotaxis-consumption system. Journal of Mathematical Physics 65:1.
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Yuzhu Lei, Zuhan Liu & Ling Zhou. (2023) Critical mass phenomenon in a chemotaxis fluid system. Nonlinear Analysis: Real World Applications 74, pages 103955.
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Alessandro Columbu, Silvia Frassu & Giuseppe Viglialoro. (2023) Properties of given and detected unbounded solutions to a class of chemotaxis models. Studies in Applied Mathematics 151:4, pages 1349-1379.
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Tongxing Li, Silvia Frassu & Giuseppe Viglialoro. (2023) Combining effects ensuring boundedness in an attraction–repulsion chemotaxis model with production and consumption. Zeitschrift für angewandte Mathematik und Physik 74:3.
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Liang Hong, Jinhuan Wang & Wei Wang. (2022) Critical curve for a two-species chemotaxis model with two chemicals in R2 *. Nonlinearity 35:10, pages 5530-5552.
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Aichao Liu, Binxiang Dai & Yuming Chen. (2022) Boundedness in a two species attraction-repulsion chemotaxis system with two chemicals. Discrete and Continuous Dynamical Systems - B 27:10, pages 6037.
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Silvia Frassu & Giuseppe Viglialoro. (2021) Boundedness in a chemotaxis system with consumed chemoattractant and produced chemorepellent. Nonlinear Analysis 213, pages 112505.
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Silvia Frassu, Cornelis van der Mee & Giuseppe Viglialoro. (2021) Boundedness in a nonlinear attraction-repulsion Keller–Segel system with production and consumption. Journal of Mathematical Analysis and Applications 504:2, pages 125428.
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Johannes Lankeit. (2021) Finite-time blow-up in the three-dimensional fully parabolic attraction-dominated attraction-repulsion chemotaxis system. Journal of Mathematical Analysis and Applications 504:2, pages 125409.
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Giuseppe Viglialoro. (2021) Influence of nonlinear production on the global solvability of an attraction‐repulsion chemotaxis system. Mathematische Nachrichten 294:12, pages 2441-2454.
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Giuseppe Viglialoro. (2019) Explicit lower bound of blow–up time for an attraction–repulsion chemotaxis system. Journal of Mathematical Analysis and Applications 479:1, pages 1069-1077.
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