Articolul precedent |
Articolul urmator |
![]() |
![]() ![]() |
![]() ZHANG, Hong, HARVIM, Prince, GEORGESCU, Paul. Schistosomiasis in Ghana: modelling and prevention. In: Conference on Applied and Industrial Mathematics: CAIM 2017, 14-17 septembrie 2017, Iași. Chișinău: Casa Editorial-Poligrafică „Bons Offices”, 2017, Ediţia 25, p. 36. ISBN 978-9975-76-247-2. |
EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
Conference on Applied and Industrial Mathematics Ediţia 25, 2017 |
||||||
Conferința "Conference on Applied and Industrial Mathematics" Iași, Romania, 14-17 septembrie 2017 | ||||||
|
||||||
Pag. 36-36 | ||||||
|
||||||
![]() |
||||||
Rezumat | ||||||
The goal of a future free from schistosomiasis in Ghana can be achieved through integrated strategies, targeting simultaneously several stages of the life cycle of the schistosome parasite. In this presentation, the transmission of schistosomiasis is modeled as a multi-scale 12-dimensional system of ODEs that includes vector-host and within-host dynamics of infection. An explicit expression for the basic reproduction number R0 is obtained via the next generation method, this expression being interpreted in biological terms, as well as in terms of reproductive numbers for each type of interaction involved. After discussing the stability of the disease-free equilibrium and the existence and uniqueness of the endemic equilibrium, the Center Manifold Theory is used to show that for values of R0 larger than 1, but close to 1, the unique endemic equilibrium is locally asymptotically stable. A sensitivity analysis indicates that R0 is most sensitive to the natural death rate of the vector population, while the most e ective strategy for the control and possible elimination of schistosomiasis should combine sanitary measures (access to safe water, improved sanitation and hygiene education), large-scale treatment of infected population and vector control measures (via the use of molluscicides), for a signi cant amount of time. |
||||||
|