Critical multitype branching processes on a graph and the model of the HIV infection development

DOI10.33048/semi.2023.20.027zbMATH Open1542.92177MaRDI QIDQ6587390

N. V. Pertsev, Valentin Topchii

Publication date: 14 August 2024

Published in: Sibirskie Elektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

zbMATH Keywords

Crump-Mode-Jagers branching process on an oriented grapheigenvectors for mean matrix of high dimensionstochastic model of HIV-1 infectionYaglom type limit theorem for critical branching process

Mathematics Subject Classification ID

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

Cites Work

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• Dynamics of HIV infection in lymphoid tissue network
• Stochastic modelling of the eradication of the HIV-1 infection by stimulation of latently infected cells in patients under highly active anti-retroviral therapy
• Direct statistical modeling of HIV-1 infection based on a non-Markovian stochastic model
• Numerical modelling of the transition of infected cells and virions between two lymph nodes in a stochastic model of HIV-1 infection
• Critical multitype branching processes
• Human Immunodeficiency Virus Infection : from Biological Observations to Mechanistic Mathematical Modelling
• Stochastic Analog of the Dynamic Model of HIV-1 Infection Described by Delay Differential Equations

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Numerical stochastic modeling of a spatially heterogeneous population

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