Stochastic modelling of age-structured population with time and size dependence of immigration rate

DOI10.1515/rnam-2018-0024zbMath1405.92237OpenAlexW2899131292MaRDI QIDQ1633487

Boris J. Pichugin, Nikolay Viktorovitch Pertsev, Konstantin Konstantinovich Loginov, Valentin Alekseevich Topchiĭ

Publication date: 20 December 2018

Published in: Russian Journal of Numerical Analysis and Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/rnam-2018-0024

zbMATH Keywords

Monte Carlo simulationbranching stochastic processes with immigrationnon-exponential distribution of the lifespan of individualsnonlinear immigration ratesize-dependent population modelstochastic age-structured

Mathematics Subject Classification ID

Applications of branching processes (60J85) Population dynamics (general) (92D25) Software, source code, etc. for problems pertaining to biology (92-04)

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Uses Software

• PARMONC

Cites Work

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• Dynamics of HIV infection in lymphoid tissue network
• A hierarchical kinetic theory of birth, death and fission in age-structured interacting populations
• Stochastic modelling of the eradication of the HIV-1 infection by stimulation of latently infected cells in patients under highly active anti-retroviral therapy
• Reproduction numbers for epidemic models with households and other social structures. I: Definition and calculation of \(R_{0}\)
• Threshold dynamics in an SEIRS model with latency and temporary immunity
• Individual and patch behaviour in structured metapopulation models
• Delay differential systems for tick population dynamics
• Stochastic modeling of stress erythropoiesis using a two-type age-dependent branching process with immigration
• Supercritical age-dependent branching processes with immigration
• Limit theorems for the integrals of some branching processes
• Structured population models, conservation laws, and delay equations
• Investigation of solutions to one family of mathematical models of living systems
• Global stability analysis of HIV-1 infection model with three time delays
• Some properties of solutions to a family of integral equations arising in the models of living systems
• Evolution of branching processes in a random environment
• The stochastic dance of early HIV infection
• Algorithms for exact and approximate statistical simulation of Poisson ensembles
• Parallel realization of statistical simulation and random number generators
• Human Immunodeficiency Virus Infection : from Biological Observations to Mechanistic Mathematical Modelling