Publication Cover
Applicable Analysis
An International Journal
Volume 99, 2020 - Issue 14
255
Views
27
CrossRef citations to date
0
Altmetric
Articles

Solvability of a Keller–Segel system with signal-dependent sensitivity and essentially sublinear production

ORCID Icon & ORCID Icon
Pages 2507-2525 | Received 26 Jul 2018, Accepted 04 Jan 2019, Published online: 21 Jan 2019

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (1)

Zain Ul Abadin Zafar, Cemil Tunç, Nigar Ali, Gul Zaman & Phatiphat Thounthong. (2021) Dynamics of an arbitrary order model of toxoplasmosis ailment in human and cat inhabitants. Journal of Taibah University for Science 15:1, pages 882-896.
Read now

Articles from other publishers (26)

. (2023) Uniform in time <inline-formula><tex-math id="M1">$ L^\infty $</tex-math></inline-formula>-estimates for an attraction-repulsion chemotaxis model with double saturation. Discrete and Continuous Dynamical Systems - B 28:3, pages 1886-1904.
Crossref
聪 牛. (2023) Global Boundedness of the Solution for Chemotaxis Model with Singular Sensitivity. Pure Mathematics 13:11, pages 3185-3192.
Crossref
Shyam Sundar Santra, Apurba Ghosh & Ioannis Dassios. (2021) Second‐order impulsive differential systems with mixed delays: Oscillation theorems. Mathematical Methods in the Applied Sciences 45:18, pages 12184-12195.
Crossref
Gnanasekaran Shanmugasundaram, Gurusamy Arumugam, André H. Erhardt & Nithyadevi Nagarajan. (2022) Global existence of solutions to a two-species predator–prey parabolic chemotaxis system. International Journal of Biomathematics 15:08.
Crossref
Shyam Sundar Santra, Andrea Scapellato & Osama Moaaz. (2022) Second-order impulsive differential systems of mixed type: oscillation theorems. Boundary Value Problems 2022:1.
Crossref
Shan Shi & Zhenlai Han. (2021) A new approach to the oscillation for the difference equations with several variable advanced arguments. Journal of Applied Mathematics and Computing 68:3, pages 2083-2096.
Crossref
Anwar Zeb, Sunil Kumar, Almaz Tesfay & Anil Kumar. (2021) A stability analysis on a smoking model with stochastic perturbation. International Journal of Numerical Methods for Heat & Fluid Flow 32:3, pages 915-930.
Crossref
Shyam Sundar Santra, Apurba Ghosh, Omar Bazighifan, Khaled Mohamed Khedher & Taher A. Nofal. (2021) Second-order impulsive differential systems with mixed and several delays. Advances in Difference Equations 2021:1.
Crossref
Shyam Sundar Santra, Dumitru Baleanu, Khaled Mohamed Khedher & Osama Moaaz. (2021) First-order impulsive differential systems: sufficient and necessary conditions for oscillatory or asymptotic behavior. Advances in Difference Equations 2021:1.
Crossref
Adsadang Himakalasa & Suttida Wongkaew. (2021) Stability analysis of swarming model with time delays. Advances in Difference Equations 2021:1.
Crossref
Silvia Frassu & Giuseppe Viglialoro. (2021) Boundedness in a chemotaxis system with consumed chemoattractant and produced chemorepellent. Nonlinear Analysis 213, pages 112505.
Crossref
Ahmed M. Elshenhab & Xing Tao Wang. (2021) Representation of solutions of linear differential systems with pure delay and multiple delays with linear parts given by non-permutable matrices. Applied Mathematics and Computation 410, pages 126443.
Crossref
Giuseppe Viglialoro. (2021) Influence of nonlinear production on the global solvability of an attraction‐repulsion chemotaxis system. Mathematische Nachrichten 294:12, pages 2441-2454.
Crossref
Shyam Sundar Santra, Hammad Alotaibi, Samad Noeiaghdam & Denis Sidorov. (2021) On Nonlinear Forced Impulsive Differential Equations under Canonical and Non-Canonical Conditions. Symmetry 13:11, pages 2066.
Crossref
Osman Tunç. (2021) On the behaviors of solutions of systems of non-linear differential equations with multiple constant delays. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 115:4.
Crossref
Desamparados Fernández-Ternero, Víctor M. Gómez-Sousa & Juan Núñez-Valdés. (2021) Using the Evolution Operator to Classify Evolution Algebras. Mathematical and Computational Applications 26:3, pages 57.
Crossref
Fátima Cruz, Ricardo Almeida & Natália Martins. (2021) Variational Problems with Time Delay and Higher-Order Distributed-Order Fractional Derivatives with Arbitrary Kernels. Mathematics 9:14, pages 1665.
Crossref
Shyam Sundar Santra, Omar Bazighifan & Mihai Postolache. (2021) New Conditions for the Oscillation of Second-Order Differential Equations with Sublinear Neutral Terms. Mathematics 9:11, pages 1159.
Crossref
E. Ahmed & M. A. Sohaly. (2021) Cell Resistance and in Antimicrobial Resistance with Waning Vaccination. Biophysical Reviews and Letters, pages 1-14.
Crossref
Shyam Sundar Santra, Khaled Mohamed Khedher & Shao-Wen Yao. (2021) New Aspects for Oscillation of Differential Systems with Mixed Delays and Impulses. Symmetry 13:5, pages 780.
Crossref
Yue Liu, Ioannis Magouras & Wing-Cheong Lo. (2021) Modelling and Analyzing the Potential Controls for Neospora caninum Infection in Dairy Cattle Using an Epidemic Approach. Complexity 2021, pages 1-15.
Crossref
Pulak Konar, Sumit Chandok, Shrutinil Dutta & Manuel De la Sen. (2021) Coupled Optimal Results with an Application to Nonlinear Integral Equations. Axioms 10:2, pages 73.
Crossref
Silvia Frassu & Giuseppe Viglialoro. (2021) Boundedness for a Fully Parabolic Keller–Segel Model with Sublinear Segregation and Superlinear Aggregation. Acta Applicandae Mathematicae 171:1.
Crossref
Gurusamy Arumugam & Jagmohan Tyagi. (2020) Keller-Segel Chemotaxis Models: A Review. Acta Applicandae Mathematicae 171:1.
Crossref
Jorge Rebaza. (2021) A General Multipatch Model of Ebola Dynamics. Nonautonomous Dynamical Systems 8:1, pages 125-135.
Crossref
Monica Marras & Stella Vernier‐Piro. (2020) Finite time collapse in chemotaxis systems with logistic‐type superlinear source. Mathematical Methods in the Applied Sciences 43:17, pages 10027-10040.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.