Abstract
This paper deals with a chemotaxis model with nonlinear signal production in a smoothly bounded domain. When there is no logistic growth source, the solutions of the system are globally bounded. This is also true if the logistic damping effect is strong enough. We extend recent research on single-species and one stimulus obtained by Tao et al. (2019, J. Math. Anal. Appl.) to two species chemotaxis system with two chemicals by creating an extra subtle inequality. We also partially extended some other related work.
Funding Statement
This research is supported by the National Natural Science Foundation of China (No. 11871475).
Acknowledgments
The authors are grateful to the anonymous referees' attentive reading of this manuscript and valuable suggestions which help to significantly improve the paper.
Citation
Aichao Liu. Binxiang Dai. "Boundedness of Solutions in a Fully Parabolic Quasilinear Chemotaxis Model with Two Species and Two Chemicals." Taiwanese J. Math. 26 (2) 285 - 315, April, 2022. https://doi.org/10.11650/tjm/211002
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