A Deterministic Model for Q Fever Transmission Dynamics within Dairy Cattle Herds: Using Sensitivity Analysis and Optimal Controls
Joint Authors
Sun, Gui-Quan
Asamoah, Joshua Kiddy K.
Li, Michael Y.
Jin, Zhen
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-01-31
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
This paper presents a differential equation model which describes a possible transmission route for Q fever dynamics in cattle herds.
The model seeks to ascertain epidemiological and theoretical inferences in understanding how to avert an outbreak of Q fever in dairy cattle herds (livestock).
To prove the stability of the model’s equilibria, we use a matrix-theoretic method and a Lyapunov function which establishes the local and global asymptotic behaviour of the model.
We introduce time-dependent vaccination, environmental hygiene, and culling and then solve for optimal strategies.
The optimal control strategies are necessary management practices that may increase animal health in a Coxiella burnetii-induced environment and may also reduce the transmission of the disease from livestock into the human population.
The sensitivity analysis presents the relative importance of the various generic parameters in the model.
We hope that the description of the results and the optimality trajectories provides some guidelines for animal owners and veterinary officers on how to effectively minimize the bacteria and control cost before/during an outbreak.
American Psychological Association (APA)
Asamoah, Joshua Kiddy K.& Jin, Zhen& Sun, Gui-Quan& Li, Michael Y.. 2020. A Deterministic Model for Q Fever Transmission Dynamics within Dairy Cattle Herds: Using Sensitivity Analysis and Optimal Controls. Computational and Mathematical Methods in Medicine،Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1139532
Modern Language Association (MLA)
Asamoah, Joshua Kiddy K.…[et al.]. A Deterministic Model for Q Fever Transmission Dynamics within Dairy Cattle Herds: Using Sensitivity Analysis and Optimal Controls. Computational and Mathematical Methods in Medicine No. 2020 (2020), pp.1-18.
https://search.emarefa.net/detail/BIM-1139532
American Medical Association (AMA)
Asamoah, Joshua Kiddy K.& Jin, Zhen& Sun, Gui-Quan& Li, Michael Y.. A Deterministic Model for Q Fever Transmission Dynamics within Dairy Cattle Herds: Using Sensitivity Analysis and Optimal Controls. Computational and Mathematical Methods in Medicine. 2020. Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1139532
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1139532