Modeling and analyzing the effects of seasonality on brucellosis infection. (November 2017)

• Record Type: Journal Article
• Authors: Lolika, Paride O.; Mushayabasa, Steady; Bhunu, Claver P.; Modnak, Chairat; Wang, Jin
• Is Part Of: Chaos, solitons and fractals. Volume 104(2017)
• Page Start: 338
• Page End: 349
• Publication Date: 2017-11
• Subjects: Brucellosis -- Mathematical models -- Seasonal variations -- Optimal control theory; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2017.08.027
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: We present a mathematical model for the transmission dynamics of brucellosis that incorporates the effects of seasonality. We analyze the basic reproduction number associated with the time-periodic model and establish results on the threshold dynamics. Meanwhile, we perform an optimal control study on the use of animal vaccination and environmental decontamination as disease control measures against brucellosis infection. Our results show that seasonality plays an important role in shaping the long-term dynamics of brucellosis, which subsequently impacts the design of its optimal control strategies.