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On reaction–diffusion equations derived from a PEPA model

✍ Scribed by Jie Ding; Zhigui Lin; Ting Yu

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
534 KB
Volume
24
Category
Article
ISSN
0893-9659

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✦ Synopsis

This work presents an extension of the fluid approximation to the diffusion approximation for a PEPA model. The diffusion approximation leads to a reaction-diffusion system in which the spatial or location information is considered, while it is ignored in the fluid approximation approach. The fundamental results for the solution of the reaction-diffusion equations, such as the existence, uniqueness, positivity and convergence, have been established. Numerical simulations are also given to illustrate the analytical results.

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