Individual-based multiscale model for foot-and-mouth disease

The study of infectious disease dynamics across various hierarchical levels and scales of organization has gained significant attention in the realm of mathematical biology. We develop an individual-based network multiscale model of foot-and-mouth disease (FMD) in cattle based on the replication-transmission relativity theory at whole living organism level. An important feature of individual-based network multiscale models is that they incorporate heterogeneity in [i.] host susceptibility to infection, [ii.] the ability of hosts to transmit pathogen to other hosts, [iii.] host immune response, and [iv.] host behaviour. Numerical simulations are conducted to demonstrate the influence of model parameters designated for controlling, eliminating, and eradicating FMD. Results indicate that microscale parameters such as the clearance rate of virus, ω i and the macroscale parameters like the transmission rate between the cattle, β ij are crucial for implementing interventions (vaccination and quarantine respectively). Additionally, the analysis of the network degree distribution indicates the absence of hubs due to lack of a heavy tail on the histogram.

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Publication Details

Journal
Frontiers in Applied Mathematics and Statistics
Published
2025-07-18
DOI
https://doi.org/10.3389/fams.2025.1608265
Primary Topic
Animal Disease Management and Epidemiology
Type
article
Field-Weighted Citation Impact
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article

Individual-based multiscale model for foot-and-mouth disease

Dephney Mathebula, Winston Garira, Blessings Mufoya
Frontiers in Applied Mathematics and Statistics
Animal Disease Management and Epidemiology
article

Individual-based multiscale model for foot-and-mouth disease

Dephney Mathebula, Winston Garira, Blessings Mufoya
article en

Abstract

The study of infectious disease dynamics across various hierarchical levels and scales of organization has gained significant attention in the realm of mathematical biology. We develop an individual-based network multiscale model of foot-and-mouth disease (FMD) in cattle based on the replication-transmission relativity theory at whole living organism level. An important feature of individual-based network multiscale models is that they incorporate heterogeneity in [i.] host susceptibility to infection, [ii.] the ability of hosts to transmit pathogen to other hosts, [iii.] host immune response, and [iv.] host behaviour. Numerical simulations are conducted to demonstrate the influence of model parameters designated for controlling, eliminating, and eradicating FMD. Results indicate that microscale parameters such as the clearance rate of virus, ω i and the macroscale parameters like the transmission rate between the cattle, β ij are crucial for implementing interventions (vaccination and quarantine respectively). Additionally, the analysis of the network degree distribution indicates the absence of hubs due to lack of a heavy tail on the histogram.

Frontiers in Applied Mathematics and StatisticsVol. 11
University of Fort Hare (ZA), National University of Science and Technology (ZW), Sol Plaatje University (ZA), National Institute for Theoretical Physics (ZA)
Good health and well-being
Openalex Percentile: Top 73%
Animal Disease Management and Epidemiology
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