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Boundedness and stabilization in a two-species chemotaxis system with logistic source

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Abstract

In this work, we consider the two-species chemotaxis system with logistic source in a two-dimensional bounded domain. We present the global existence of classical solutions under appropriate regularity assumptions on the initial data. In addition, the asymptotic behavior of the solutions is studied, and our results generalize and improve some well-known results in the literature.

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Acknowledgements

This work is partially supported by NSFC No. 11971185. The author would like to express his gratitude to Professor Bin Liu for helpful discussions during the preparation of the paper and express their gratitude to the anonymous reviewers and editors for their valuable comments and suggestions which led to the improvement of the original manuscript.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, 430074, Hubei, People’s Republic of China

    Guoqiang Ren

  2. Hubei Key Laboratory of Engineering Modeling and Scientific Computing, Huazhong University of Science and Technology, Wuhan, 430074, Hubei, People’s Republic of China

    Guoqiang Ren

  3. Institute of Artificial Intelligence, Huazhong University of Science and Technology, Wuhan, 430074, Hubei, People’s Republic of China

    Guoqiang Ren

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  1. Guoqiang Ren
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Correspondence to Guoqiang Ren.

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This work was partially supported by NNSF of China (No. 12001214) and China Postdoctoral Science Foundation (Nos. 2020M672319, 2020TQ0111).

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Ren, G. Boundedness and stabilization in a two-species chemotaxis system with logistic source. Z. Angew. Math. Phys. 71, 177 (2020). https://doi.org/10.1007/s00033-020-01410-9

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  • DOI: https://doi.org/10.1007/s00033-020-01410-9

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