Fundamental results on the reactionâdiffusion equations associated with a PEPA model

DOI10.1016/J.APM.2012.02.034zbMath1351.35075OpenAlexW2003406785MaRDI QIDQ350350

Jie Ding, Zhigui Lin, Hong Gu

Publication date: 7 December 2016

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2012.02.034

zbMATH Keywords

convergencereaction-diffusion equationsPEPA

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for second-order parabolic systems (35K51)

Uses Software

• Bio-PEPA

Cites Work

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• An approximate solution of nonlinear fractional reaction-diffusion equation
• Turing pattern formation for reaction-convection-diffusion systems in fixed domains submitted to toroidal velocity fields
• Analysing distributed internet worm attacks using continuous state-space approximation of process algebra models
• Bio-PEPA: A framework for the modelling and analysis of biological systems
• Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary
• Stochastic Process Algebras
• Improved Continuous Approximation of PEPA Models through Epidemiological Examples
• Relating PDEs in Cylindrical Coordinates and CTMCs with Levels of Concentration

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