Mathematical Modeling of Echinococcosis in Humans, Dogs, and Sheep

Autor: Getachew Bitew Birhan, Justin Manango W. Munganga, Adamu Shitu Hassan
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Journal of Applied Mathematics, Vol 2020 (2020)
Druh dokumentu: article
ISSN: 1110-757X
1687-0042
DOI: 10.1155/2020/8482696
Popis: 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 R01. 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.
Databáze: Directory of Open Access Journals
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