Journal of Guangxi Normal University(Natural Science Edition) ›› 2023, Vol. 41 ›› Issue (1): 17-23.doi: 10.16088/j.issn.1001-6600.2022061703

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Logistic Diffusion Problem and Its Analysis on Three Types of Domains

ZHANG Mengyun1, GE Jing2, LIN Zhigui3*   

  1. 1. School of Applied Mathematics, Nanjing University of Finance Economics, Nanjing Jiangsu 210003, China;
    2. School of Mathematics and Statistics, Huaiyin Normal University, Huaian Jiangsu 223300, China;
    3. School of Mathematical Science, Yangzhou University, Yangzhou Jiangsu 225002, China
  • Received:2022-06-17 Revised:2022-07-18 Online:2023-01-25 Published:2023-03-07

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Abstract: Reaction-diffusion problems in several different types of domains are investigated in this paper, which describes spatial expansion of population. Compared with the classical Cauchy problem, diffusion problems are presented in fixed domains, evolving domains and free boundaries. According to the theoretical results of the corresponding problems, the differences and connections of diffusion in different domains are analyzed.

Key words: reaction-diffusion, free boundary, evolving domain, expansion and extinction

CLC Number: 

  • O29
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