Asymptotic behaviour of a conservative reaction-diffusion system associated with a Markov process algebra model

Jie Ding; Ruiming Ma; Zhigui Lin; Zhi Ling

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arXiv · 2211.09298

Asymptotic behaviour of a conservative reaction-diffusion system associated with a Markov process algebra model

Jie Ding·Ruiming Ma·Zhigui Lin·Zhi Ling

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Abstract

This paper demonstrates a lower and upper solution method to investigate the asymptotic behaviour of the conservative reaction-diffusion systems associated with Markovian process algebra models. In particular, we have proved the uniform convergence of the solution to its constant equilibrium for a case study as time tends to infinity, together with experimental results illustrations.

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Jie Ding, Ruiming Ma, Zhigui Lin, Zhi Ling. 2022-11-17. Asymptotic behaviour of a conservative reaction-diffusion system associated with a Markov process algebra model. https://arxiv.org/abs/2211.09298

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