A stochastic multi-host model for West Nile virus transmission

When initially introduced into a susceptible population, a disease may die out or result in a major outbreak. We present a Continuous-Time Markov Chain model for enzootic WNV transmission between two avian host species and a single vector, and use multitype branching process theory to determine the...

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Main Authors: Emily B. Horton, Suzanne L. Robertson
Format: Article
Language:English
Published: Taylor & Francis Group 2024-12-01
Series:Journal of Biological Dynamics
Subjects:
Online Access:https://www.tandfonline.com/doi/10.1080/17513758.2023.2293780
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author Emily B. Horton
Suzanne L. Robertson
author_facet Emily B. Horton
Suzanne L. Robertson
author_sort Emily B. Horton
collection DOAJ
description When initially introduced into a susceptible population, a disease may die out or result in a major outbreak. We present a Continuous-Time Markov Chain model for enzootic WNV transmission between two avian host species and a single vector, and use multitype branching process theory to determine the probability of disease extinction based upon the type of infected individual initially introducing the disease into the population – an exposed vector, infectious vector, or infectious host of either species. We explore how the likelihood of disease extinction depends on the ability of each host species to transmit WNV, vector biting rates on host species, and the relative abundance of host species, as well as vector abundance. Theoretical predictions are compared to the outcome of stochastic simulations. We find the community composition of hosts and vectors, as well as the means of disease introduction, can greatly affect the probability of disease extinction.
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spelling doaj.art-83a4e09b40eb4096b01c3ba9b6b9bf3b2023-12-28T13:33:13ZengTaylor & Francis GroupJournal of Biological Dynamics1751-37581751-37662024-12-0118110.1080/17513758.2023.2293780A stochastic multi-host model for West Nile virus transmissionEmily B. Horton0Suzanne L. Robertson1SYSM PhD Program, Virginia Commonwealth University, Richmond, VA, USADepartment of Mathematics and Applied Mathematics, Virginia Commonwealth University, Richmond, VA, USAWhen initially introduced into a susceptible population, a disease may die out or result in a major outbreak. We present a Continuous-Time Markov Chain model for enzootic WNV transmission between two avian host species and a single vector, and use multitype branching process theory to determine the probability of disease extinction based upon the type of infected individual initially introducing the disease into the population – an exposed vector, infectious vector, or infectious host of either species. We explore how the likelihood of disease extinction depends on the ability of each host species to transmit WNV, vector biting rates on host species, and the relative abundance of host species, as well as vector abundance. Theoretical predictions are compared to the outcome of stochastic simulations. We find the community composition of hosts and vectors, as well as the means of disease introduction, can greatly affect the probability of disease extinction.https://www.tandfonline.com/doi/10.1080/17513758.2023.2293780West Nile viruscontinuous-time Markov chainmultitype branching processprobability of disease extinctionhost heterogeneity60J80
spellingShingle Emily B. Horton
Suzanne L. Robertson
A stochastic multi-host model for West Nile virus transmission
Journal of Biological Dynamics
West Nile virus
continuous-time Markov chain
multitype branching process
probability of disease extinction
host heterogeneity
60J80
title A stochastic multi-host model for West Nile virus transmission
title_full A stochastic multi-host model for West Nile virus transmission
title_fullStr A stochastic multi-host model for West Nile virus transmission
title_full_unstemmed A stochastic multi-host model for West Nile virus transmission
title_short A stochastic multi-host model for West Nile virus transmission
title_sort stochastic multi host model for west nile virus transmission
topic West Nile virus
continuous-time Markov chain
multitype branching process
probability of disease extinction
host heterogeneity
60J80
url https://www.tandfonline.com/doi/10.1080/17513758.2023.2293780
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