Compartmental limit of discrete Bass models on networks

DOI10.3934/dcdsb.2022203OpenAlexW4311185367MaRDI QIDQ2697237

Steven Schochet, Gadi Fibich, Amit Golan

Publication date: 18 April 2023

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.04011

zbMATH Keywords

convergencerate of convergenceordinary differential equationsheterogeneitystochastic modelscompartmental modelsmaster equationsdiffusion in networks

Mathematics Subject Classification ID

Social networks; opinion dynamics (91D30) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exact epidemic models on graphs using graph-automorphism driven lumping
• A stochastic formulation of the Bass model of new-product diffusion
• Elementary proof of convergence to the mean-field model for the SIR process
• From exact stochastic to mean-field ODE models: a new approach to prove convergence results
• Aggregate Diffusion Dynamics in Agent-Based Models with a Spatial Structure
• An elementary proof of convergence to the mean-field equations for an epidemic model
• Boundary Effects in the Discrete Bass Model
• Diffusion of New Products with Recovering Consumers
• Solutions of ordinary differential equations as limits of pure jump markov processes
• Limit theorems for sequences of jump Markov processes approximating ordinary differential processes