Stabilization in three-dimensional chemotaxis-growth model with indirect attractant production |
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Authors: | Ya Tian Dan Li Chunlai Mu |
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Institution: | 1. Key Lab of Intelligent Analysis and Decision on Complex Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;2. School of Mathematics, South China University of Technology, Guangzhou 510641, China;3. College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China |
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Abstract: | This paper deals with the chemotaxis-growth system: , , in a smooth bounded domain with zero-flux boundary conditions, where μ, δ, and τ are given positive parameters. It is shown that the solution exponentially stabilizes to the constant stationary solution in the norm of as provided that and any given nonnegative and suitably smooth initial data fulfills , which extends the condition in 8]. |
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