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A Mathematical Model for the Dynamics of Tomato Yellow Leaf Curl Disease in Tanzania

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dc.creator Ngalya, Christopher David
dc.date 2019-10-07T11:38:41Z
dc.date 2019-10-07T11:38:41Z
dc.date 2017-12
dc.date.accessioned 2021-05-05T13:34:57Z
dc.date.available 2021-05-05T13:34:57Z
dc.identifier http://dspace.cbe.ac.tz:8080/xmlui/handle/123456789/386
dc.identifier.uri http://hdl.handle.net/123456789/74304
dc.description Tomato yellow leaf curl virus (TYLCV) is among the greatest destructive pathogens of tomato. TYLCV is transmitted from whitefly vector to the host plant and vice versa. A mathematical model has been developed and analysed for the interaction between tomato yellow leaf curl disease (TYLCD) and tomato plants under the influence of bemisia tabaci. Positivity and boundedness of the solution has been checked to ensure our model being well posed and then the basic reproductive number (R0) were computed using the next generation matrix method. The stability analysis of our model equilibria were done using various methods. Local and global disease free equilibrium points were analysed using Routh-Hurwitz criteria and the method proposed by Castillo-Chavez et al. (2002) respectively while local and global endemic equilibrium points were analysed using Routh-Hurwitz criteria and Lyapunov direct method respectively. We computed the sensitivity indices of the each parameter in relating to R0 of the model. Numerical simulations were done to validate our theoretical results, and the epidemiological meaning of the key outcomes were briefly discussed. Results indicate that the increase of number of vectors around the field lead to decrease of amount of tomato yield in that field due to TYLCV also as transmission rates decrease, the TYLCD incidence and prevalence also decrease. This study recommends, providing seminars, mass education and other different ways to farmers on transmission and spread of TYLCD and advise them proper method of controlling it.
dc.format application/pdf
dc.language en
dc.publisher College of Business Education
dc.title A Mathematical Model for the Dynamics of Tomato Yellow Leaf Curl Disease in Tanzania
dc.type Thesis


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