A stochastic model for disease transmission in a managed herd, motivated by \textit{Neospora caninum} amongst dairy cattle

DOI10.1016/S0025-5564(01)00047-5zbMath1006.92027OpenAlexW1997660690WikidataQ44989819 ScholiaQ44989819MaRDI QIDQ5951682

Damian Clancy, Nigel P. French

Publication date: 6 February 2003

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0025-5564(01)00047-5

zbMATH Keywords

stationary distributiondiffusion approximationsOrnstein-Uhlenbeck processesconstrained herd sizedairy cattledensity-dependent processesneospora caninum

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (2)

Dynamics of infection with multiple transmission mechanisms in unmanaged/managed animal populations ⋮ Stochastic dynamics of immunity in small populations: a general framework

Cites Work

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• On a model for interference between searching insect parasites
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• An Efficient Procedure for Computing Quasi-Stationary Distributions of Markov Chains by Sparse Transition Structure
• Solutions of ordinary differential equations as limits of pure jump markov processes
• Limit theorems for sequences of jump Markov processes approximating ordinary differential processes

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