A stochastic SIR model with contact-tracing: large population limits and statistical inference

DOI10.1080/17513750801993266zbMath1315.92075arXiv0807.3462OpenAlexW3102551429WikidataQ84759761 ScholiaQ84759761MaRDI QIDQ5258024

Héctor de Arazoza, Viet Chi Tran, Stéphan Clémençon

Publication date: 25 June 2015

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.3462

zbMATH Keywords

maximum likelihood estimationcentral limit theoremHIVmathematical epidemiologystochastic SIR modelmeasure-valued Markov processlarge population approximationcontact-tracing

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of statistics to biology and medical sciences; meta analysis (62P10) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)

Related Items

Resistance to antibiotics: limit theorems for a stochastic SIS model structured by level of resistance ⋮ Large graph limit for an SIR process in random network with heterogeneous connectivity ⋮ A spatial stochastic epidemic model: law of large numbers and central limit theorem ⋮ Functional law of large numbers and PDEs for epidemic models with infection-age dependent infectivity ⋮ A NEW INFERENCE STRATEGY FOR GENERAL POPULATION MORTALITY TABLES ⋮ Unnamed Item ⋮ A general stochastic model for sporophytic self-incompatibility ⋮ HIV with contact tracing: a case study in approximate Bayesian computation ⋮ Stochastic epidemic models revisited: analysis of some continuous performance measures ⋮ Nonparametric adaptive inference of birth and death models in a large population limit ⋮ An edge-based model of SEIR epidemics on static random networks ⋮ COVID-19 pandemic control: balancing detection policy and lockdown intervention under ICU sustainability

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stochastic models for epidemics with special reference to AIDS
• Stopping times and tightness
• Contact tracing in stochastic and deterministic epidemic models
• Stochastic epidemic models and their statistical analysis
• A microscopic probabilistic description of a locally regulated population and macroscopic approximations
• Modeling the impact of random screening and contact tracing in reducing the spread of HIV.
• Mathematical epidemiology of HIV/AIDS in Cuba during the period 1986--2000
• On inference for partially observed nonlinear diffusion models using the Metropolis-Hastings algorithm
• Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes
• Exact and Computationally Efficient Likelihood-Based Estimation for Discretely Observed Diffusion Processes (with Discussion)
• Weak convergence of sequences of semimartingales with applications to multitype branching processes
• A criterion of convergence of measure‐valued processes: application to measure branching processes
• Quasi-stationary distributions and convergence to quasi-stationarity of birth-death processes
• Convergence of the fluctuations for interacting diffusions with jumps associated with boltzmann equations