JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2024, Vol. 59 ›› Issue (6): 116-121, 126.doi: 10.6040/j.issn.1671-9352.0.2022.664

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Continuous dependence of attractive-repulsive chemotactic systems

Yanping WANG(),Yuanfei LI*()   

  1. School of Data Science, Guangzhou Huashang College, Guangzhou 511300, Guangdong, China
  • Received:2022-12-13 Online:2024-06-20 Published:2024-06-17
  • Contact: Yuanfei LI E-mail:li20201101@126.com;liqfd@163.com

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Abstract:

The chemotaxis system simulating the early plaque formation of Alzheimer's disease is considered, which is defined in a truncated convex region with smooth boundary. Assuming that the initial value of the system satisfies certain constraints, a priori estimates of the solutions is derived. Using these a prior estimates, it is proved that the solutions of the chemotaxis system are continuously dependent on the parameter in the equation. The result shows that small changes of the parameters in the equation will not cause great impact to the system.

Key words: chemotaxis system, continuous dependence, a priori bounds

CLC Number: 

  • O175.29
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