Efficient methods for studying stochastic disease and population dynamics

DOI10.1016/j.tpb.2009.01.003zbMath1211.92048OpenAlexW2051514539WikidataQ51617379 ScholiaQ51617379MaRDI QIDQ615588

Sumit K. Garg

Publication date: 5 January 2011

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tpb.2009.01.003

zbMATH Keywords

parameter estimationMarkov processescatastrophesdisease dynamicsstate space reduction

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Ecology (92D40) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Related Items (9)

Computationally exact methods for stochastic periodic dynamics: spatiotemporal dispersal and temporally forced transmission ⋮ Global stability for a \({2 n + 1}\) dimensional HIV/AIDS epidemic model with treatments ⋮ Computation of epidemic final size distributions ⋮ An exact and implementable computation of the final outbreak size distribution under Erlang distributed infectious period ⋮ When can a deterministic model of a population system reveal what will happen on average? ⋮ Deterministic epidemic models on contact networks: correlations and unbiological terms ⋮ A multiscale maximum entropy moment closure for locally regulated space-time point process models of population dynamics ⋮ Deterministic epidemic models on contact networks: correlations and unbiological terms ⋮ Markovian dynamics on complex reaction networks

Uses Software

• Expokit

Cites Work

• Unnamed Item
• Extinction dynamics in mainland-island metapopulations: an \(N\)-patch stochastic model
• On parameter estimation in population models. II: Multi-dimensional processes and transient dynamics
• On parameter estimation in population models
• A stochastic model for head lice infections
• Reduced dimensional population transition matrices: Extinction distributions from Markovian dynamics
• The use of Markovian metapopulation models: A comparison of three methods reducing the dimensionality of transition matrices.
• Stochastic epidemic models and their statistical analysis
• Modelling Biological Populations in Space and Time
• Expokit
• Markov Chains
• The analysis of hospital infection data using hidden Markov models

This page was built for publication: Efficient methods for studying stochastic disease and population dynamics