@article{Du2024, 
author = {Wanjuan Du},
title = {A further study on an attraction-repulsion chemotaxis system with logistic source},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {7},
pages = {16924-16930},
keywords = {attraction-repulsion, boundedness, logistic source, chemotaxis},
url = {https://www.sciopen.com/article/10.3934/math.2024822},
doi = {10.3934/math.2024822},
abstract = {This paper is concerned with the attraction-repulsion chemotaxis system (1.1) define on a bounded domain    Ω  ⊂            R        N    (  N  ≥  1  ) with no-flux boundary conditions. The source function    f in this system is a smooth function    f that satisfies    f  (  u  )  ≤  a  −  b      u    η   for    u  ≥  0. It is proven that    η  ≥  1 is sufficient to ensure the boundedness of the solution when    r  <            4      (      N      +      1      )              N      (      N      +      2      )       is in the balance case    χ  α  =  ξ  γ, which improve the relevant results presented in papers such as Li and Xiang (2016), Xu and Zheng (2018), Xie and Zheng (2021), and Tang, Zheng and Li (2023).}
}