Branching random walks and their applications for epidemic modeling

DOI10.1080/15326349.2019.1572519zbMath1479.60182arXiv1901.09623OpenAlexW2963035903MaRDI QIDQ5231290

Polina Makhmutova, E. B. Yarovaya, Elizaveta Ermakova

Publication date: 26 August 2019

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.09623

zbMATH Keywords

momentslimit theoremsbranching random walksduality, epidemic models

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of branching processes (60J85)

Related Items (3)

Steady states of lattice population models with immigration ⋮ Structure of the population of particles for a branching random walk in a homogeneous environment ⋮ Impact of incubation delay and stochastic perturbation on Dengue fever virus transmission model

Cites Work

• Stochastic monotonicity and continuity properties of functions defined on Crump-Mode-Jagers branching processes, with application to vaccination in epidemic modelling
• Generalization of the formula of Faa di Bruno for a composite function with a vector argument
• Mathematical modelling, simulation, and optimal control of the 2014 ebola outbreak in west africa
• Stochastic Monotonicity and Continuity Properties of the Extinction Time of Bellman-Harris Branching Processes: An Application to Epidemic Modelling
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