Mathematical Modeling of Echinococcosis in Humans, Dogs, and Sheep
Joint Authors
Birhan, Getachew Bitew
Munganga, Justin Manango W.
Hassan, Adamu Shitu
Source
Journal of Applied Mathematics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-02
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
In this paper, a model for the transmission dynamics of cystic echinococcosis in the dog, sheep, and human populations is developed and analyzed.
We first model and analyze the predator-prey interaction model in these populations; then, we propose a mathematical model of the transmission dynamics of cystic echinococcosis.
We calculate the basic reproduction number R0 and prove that the disease-free equilibrium is globally asymptotically stable, and hence, the disease dies out if R0<1.
We further show that the endemic equilibrium is globally asymptotically stable, and hence, the disease persists if R0>1.
Numerical simulations are performed to illustrate our analytic results.
We give sensitivity analysis of the key parameters and give strategies that are helpful to control the transmission of cystic echinococcosis, from which the most sensitive parameter is the transmission rate of Echinococcus’ eggs from the environment to sheep (βes).
Thus, the effective controlling strategies are associated with this parameter.
American Psychological Association (APA)
Birhan, Getachew Bitew& Munganga, Justin Manango W.& Hassan, Adamu Shitu. 2020. Mathematical Modeling of Echinococcosis in Humans, Dogs, and Sheep. Journal of Applied Mathematics،Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1174592
Modern Language Association (MLA)
Birhan, Getachew Bitew…[et al.]. Mathematical Modeling of Echinococcosis in Humans, Dogs, and Sheep. Journal of Applied Mathematics No. 2020 (2020), pp.1-18.
https://search.emarefa.net/detail/BIM-1174592
American Medical Association (AMA)
Birhan, Getachew Bitew& Munganga, Justin Manango W.& Hassan, Adamu Shitu. Mathematical Modeling of Echinococcosis in Humans, Dogs, and Sheep. Journal of Applied Mathematics. 2020. Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1174592
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174592