Global boundedness of an N-D chemotactic tumor immune evasion system

Global boundedness of an N-D chemotactic tumor immune evasion system | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 21 October 2025 V1 Latest version Share on Global boundedness of an N-D chemotactic tumor immune evasion system Authors : Kaiqiang Li 0000-0002-5176-8402 , Yingying Li 0009-0004-6433-2693 [email protected] , and jiashan zheng 0000-0002-1304-9853 Authors Info & Affiliations https://doi.org/10.22541/au.176103046.61114085/v1 Published Discrete and Continuous Dynamical Systems - B Version of record Peer review timeline 175 views 217 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract This paper establishes the global existence of classical solutions to the initial-boundary value problem for a system of four reaction-diffusion-chemotaxis equations in smooth bounded domains. The model is governed by the following equations { u t = ∆ u − ∇ · ( u ∇ v ), x ∈ Ω, t > 0, 0 = ∆ v − v + w, x ∈ Ω, t > 0, w t = d ∆ w − w + ρuz k u + θu, x ∈ Ω, t > 0, z t = ∆ z − uz k u + θu + w, x ∈ Ω, t > 0, where d, ρ, k u, θ are positive constants, and Ω ⊂ R N ( N ≤ 5 ) denotes a bounded domain with smooth boundary. Under homogeneous Neumann boundary conditions, we establish the existence and uniqueness of global classical solution for this system. AMS subject classifications: 35B45, 35Q92, 92C17 Supplementary Material File (20251003.pdf) Download 260.97 KB Information & Authors Information Version history V1 Version 1 21 October 2025 Peer review timeline Published Discrete and Continuous Dynamical Systems - B Version of Record 1 Jan 2026 Published Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords a priori estimates boundedness chemotaxis Authors Affiliations Kaiqiang Li 0000-0002-5176-8402 Yantai University View all articles by this author Yingying Li 0009-0004-6433-2693 [email protected] Yantai University View all articles by this author jiashan zheng 0000-0002-1304-9853 Yantai University View all articles by this author Metrics & Citations Metrics Article Usage 175 views 217 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Kaiqiang Li, Yingying Li, jiashan zheng. Global boundedness of an N-D chemotactic tumor immune evasion system. Authorea . 21 October 2025. DOI: https://doi.org/10.22541/au.176103046.61114085/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu . 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