Nonlinear master equation of multitype particle systems

DOI10.1016/0304-4149(94)00055-XzbMath0821.60098MaRDI QIDQ1893862

Shui Feng

Publication date: 18 September 1995

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

couplingLotka-Volterra modelmean field interactionnonlinear master equationpure jump Markov processexistence and uniqueness of solutions of the nonlinear martingale problems

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (4)

Critical phenomenon of a two component nonlinear stochastic system ⋮ Reaction-diffusion processes ⋮ Balancing queues by mean field interaction ⋮ Phase transitions for a class of time-inhomogeneous diffusion processes

Cites Work

• Periodic behavior of the stochastic Brusselator in the mean-field limit
• The diffusion approximation of the spatially homogeneous Boltzmann equation
• Law of large numbers and central limit theorem for unbounded jump mean- field models
• Solutions of a class of nonlinear master equations
• Large deviations for Markov processes with mean field interaction and unbounded jumps
• Large deviations for empirical process of mean-field interacting particle system with unbounded jumps
• A certain class of diffusion processes associated with nonlinear parabolic equations
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