A mathematical model for coinfection of listeriosis and anthrax diseases
Date
2018
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi
Abstract
Listeriosis and Anthrax are fatal zoonotic diseases caused by Listeria monocytogene and Bacillus Anthracis, respectively. In this paper, we proposed and analysed a compartmental Listeriosis-Anthrax coinfection model describing the transmission dynamics of Listeriosis and Anthrax epidemic in human population using the stability theory of differential equations. Our model revealed that the disease-free equilibrium of the Anthrax model only is locally stable when the basic reproduction number is less than one. Sensitivity analysis was carried out on the model parameters in order to determine their impact on the disease dynamics. Numerical simulation of the coinfection model was carried out and the results are displayed graphically and discussed. We simulate the Listeriosis-Anthrax coinfection model by varying the human contact rate to see its effects on infected Anthrax population, infected Listeriosis population, and Listeriosis-Anthrax coinfected population.
Description
CITATION: Osman, S. & Makinde, O. D. 2018. A mathematical model for coinfection of listeriosis and anthrax diseases. International Journal of Mathematics and Mathematical Sciences, 2018 (Article ID 1725671), doi:10.1155/2018/1725671.
The original publication is available at https://www.hindawi.com
The original publication is available at https://www.hindawi.com
Keywords
Infectious diseases -- Mathematical models, Infectious diseases -- Statistical methods, Communicable diseases -- Statistical methods, Communicable diseases -- Mathematical models, Listeriosis -- Mathematical models, Anthrax -- Mathematical models, Anthrax -- Statistical methods, Listeriosis -- Statistical methods, Listeria monocytogenes, Bacillus anthracis, Zoonoses -- Mathematical models, Zoonoses -- Statistical methods, Zoonotic diseases -- Statistical methods, Zoonotic diseases -- Mathematical models
Citation
Osman, S. & Makinde, O. D. 2018. A mathematical model for coinfection of listeriosis and anthrax diseases. International Journal of Mathematics and Mathematical Sciences, 2018 (Article ID 1725671), doi:10.1155/2018/1725671