Abstract
We study the exact formal solution to the simplified Keller-Segel system modelling chemotaxis. The method we use is series expanding. The main result is to attain the formal solution to the simplified Keller-Segel system.
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References
Keller K F, Segel L A. Intiation of Slime Mold Aggregation Viewed as An Instability.J Theoret Biol, 1970,26: 399–415.
Toshitaka Nagai, Takasi Senba. Global Existence and Blow-up of Radial Solutions to a Parabolic-Elliptic System of Chemotaxis.Advances in Mathematical Sciences and Applications Gakkotosho, 1998,8(1): 145–156.
Takasi Senba. Blow-up of Radially Symmetric Solutions to Some Systems of Partial Differential Equations Modelling Chemotaxis.Advances in Mathematical Sciences and Applications Gakkotosho, 1997,7: 79–92.
Toshitaka Nagai. Blow-up of Radially Symmetric Solutions to a Chemotaxis System.Advances in Mathematical Sciences and Applications Gakkotosho, 1995,5: 581–601.
Ince E L.Ordinary Differential Equations. Heliopolis: Press of Egyptian University, 1926, 208.
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Foundation item: Supported by the National Natural Science Foundation of China(No. 10025107)
Biography: Chen Hua(1956-), male, Professor, research direction: partial differential equations.
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Hua, C., Jin-chun, H. An exact formal solution to reaction-diffusion equations from biomathematics. Wuhan Univ. J. Nat. Sci. 7, 127–132 (2002). https://doi.org/10.1007/BF02830298
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DOI: https://doi.org/10.1007/BF02830298