The bison–human–environment dynamics of brucellosis infection with prevention and control studies

Brucellosis is an infectious disease caused by bacteria Brucella, and it is difficult to detect since its incubation period could be from about two weeks to one year. The most common sources of infection are from farms, raw dairy products, bison, horses, and chickens. Humans can acquire the disease...

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Bibliographic Details
Published in:International journal of dynamics and control 2024-02, Vol.12 (2), p.551-570
Main Authors: Thongtha, Adison, Modnak, Chairat
Format: Article
Language:English
Subjects:
Bacteria
Brucellosis
Buffalo
Complexity
Control
Control and Systems Theory
Dairy products
Disease control
Dynamical Systems
Engineering
Epidemics
Infectious diseases
Mathematical models
Optimal control
Vibration
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Summary:Brucellosis is an infectious disease caused by bacteria Brucella, and it is difficult to detect since its incubation period could be from about two weeks to one year. The most common sources of infection are from farms, raw dairy products, bison, horses, and chickens. Humans can acquire the disease from these animals or animal products contaminated with the bacteria. There are studies about the disease transmission among bison and sometimes from bison to humans. Person-to-person transmission is rare but possible. In this study, we formulate an interact bison–human–environment mathematical model that involves the influence of human transmission, chronic brucellosis, and control strategy on the brucellosis dynamics. We conduct both epidemic and endemic analysis and also represent the threshold dynamics characterized by the basic reproduction number. Numerical simulations are carried out to investigate the stability of the equilibrium points and the reproduction numbers for different optimal settings. An optimal control study is applied to seek a control strategy to maintain the disease outbreaks.
ISSN:2195-268X
2195-2698
DOI:10.1007/s40435-023-01194-6