全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用：99美元
投递稿件

查看量下载量

相关文章

更多...

具有间接信号吸收和Logistic源的生物趋化模型解的有界性
Boundedness of Solution for the Chemotaxis Model with Indirect Signal Absorption and Logistic Source

DOI: 10.12677/PM.2021.113048, PP. 362-370

Keywords: 间接信号吸收，拟线性，趋化，Logistic源，有界性
Indirect Signal Absorption, Quasilinear, Chemotaxis, Logistic Source, Boundednes

Full-Text   Cite this paper   Add to My Lib

Abstract:

本文考虑具有二维间接信号吸收的拟线性趋化模型：其中Ω∈Rn(n=2)是一个有界区域且具有光滑边界，μ,l>0，非线性扩散系数D(u)和趋化敏感系数S(u)分别满足D(u)≥（u+1）m-1，S(u)≤（u+1）q-1且D(?),S(?)∈C1+l([0,∞))。本文利用能量方法和半群理论证明在和0In this paper, we consider the following two-dimensional quasilinear chemotaxis model with in-direct signal absorption:？ on a bounded domain Ω∈Rn(n=2), with smooth boundary？ , μ and l are positive constants, the nonlinear diffusivity D(u) and chemosensitivity S(u) are supposed to satisfy D(u)≥（u+1）m-1, S(u)≤（u+1）q-1 and D(?),S(?)∈C1+l([0,∞)). Finally, we use the energy method and the semigroup theory to prove that the solution of the biologicalchemotaxis model is globally bounded under the conditions？ and 0

References

[1]  Hu, B.R. and Tao, Y. (2016) To the Exclusion of Blow-Up in a Three-Dimensional Chemotaxis-Growth Model with Indirect Attractant Production. Mathematical Models and Methods in Applied Sciences, 26, 2111-2128.
https://doi.org/10.1142/S0218202516400091
[2]  Li, H. and Tao, Y.S. (2017) Boundedness in a Chemotaxis System with Indirect Signal Production and Generalized Logistic Source. Applied Mathematics Letters, 77, 108-113.
https://doi.org/10.1016/j.aml.2017.10.006
[3]  Tang, Q., Xin, Q. and Mu, C. (2020) Boundedness of the High-er-Dimensional Quasilinear Chemotaxis System with Generalized Logistic Source. Acta Mathematica Scientia, 40, 713-722.
https://doi.org/10.1007/s10473-020-0309-0
[4]  Tao, Y.S. (2011) Boundedness in a Chemotaxis Model with Oxygen Consumption by Bacteria. Journal of Mathematical Analysis and Applications, 381, 521-529.
https://doi.org/10.1016/j.jmaa.2011.02.041
[5]  Tao, Y.S. and Winkler, M. (2012) Eventual Smoothness and Sta-bilization of Large-Data Solutions in a Three-Dimensional Chemotaxis System with Consumption of Chemoattractant. Journal of Differential Equations, 252, 2520-2543.
https://doi.org/10.1016/j.jde.2011.07.010
[6]  Lankeit, J. and Wang, Y.L. (2016) Global Existence, Boundedness and Stabilization in a High-Dimensional Chemotaxis System with Consumption. Discrete & Continuous Dynamical Systems, 37, 6099-6121.
https://doi.org/10.3934/dcds.2017262
[7]  Zheng, J. (2018) Global Solvability and Boundedness in the N-Dimensional Quasilinear Chemotaxis Model with Logistic Source and Consumption of Chemoattractant.
[8]  Fuest, M. (2019) Analysis of a Chemotaxis Model with Indirect Signal Absorption. Journal of Differential Equations, 267, 4778-4806.
https://doi.org/10.1016/j.jde.2019.05.015
[9]  Liu, Y., Li, Z. and Huang, J. (2020) Global Boundedness and Large Time Behavior of a Chemotaxis System with Indirect Signal Absorption. Journal of Differential Equations, 269, 6365-6399.
https://doi.org/10.1016/j.jde.2020.05.008
[10]  Zheng, P. and Xing, J. (2020) Boundedness and Large-Time Behavior for a Two-Dimensional Quasilinear Chemotaxis-Growth System with Indirect Signal Consumption. Ztschrift für angewandte Mathematik und Physik ZAMP, 71, Article No. 98.
https://doi.org/10.1007/s00033-020-01320-w
[11]  Song, X. and Zheng, J. (2019) A New Result for Global Solv-ability and Boundedness in the N-Dimensional Quasilinear Chemotaxis Model with Logistic Source and Consumption of Chemoattractant. Journal of Mathematical Analysis and Applications, 475, 895-917.
https://doi.org/10.1016/j.jmaa.2019.03.002

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133