Modelling the Impact of Bemisia Tabaci in Dynamics of Tomato Yellow Leaf Curl Virus
| dc.creator | Ngalya, Christopher | |
| dc.creator | Kuznetsov, Dmitry | |
| dc.date | 2019-07-31T04:18:31Z | |
| dc.date | 2019-07-31T04:18:31Z | |
| dc.date | 2017-09-04 | |
| dc.date.accessioned | 2021-05-05T13:34:58Z | |
| dc.date.available | 2021-05-05T13:34:58Z | |
| dc.description | Mathematical model has been developed and analysed for the interaction between tomato yellow leaf curl virus (TYLCV) 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 we computed the basic reproductive number using the next generation matrix method. Also, both local and global stability analysis at the disease free equilibrium points of the model has been done. By constructing suitable Lyapunov functional and using LaSalle's invariance principle, global stability of endemic disease equilibrium was obtained. The results show that the disease free equilibrium point (DFE) will be both locally and globally asymptotically stable if but unstable if and the endemic equilibrium point (EE) will be globally asymptotically stable if and unstable if . Finally some numerical simulations were done to validate our theoretical outcomes, and the epidemiological implications of the key outcomes were briefly discussed in the last section. | |
| dc.format | application/vnd.openxmlformats-officedocument.wordprocessingml.document | |
| dc.identifier | http://dspace.cbe.ac.tz:8080/xmlui/handle/123456789/346 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/74368 | |
| dc.language | en | |
| dc.publisher | College of Business Education | |
| dc.subject | Mathematics and Applications | |
| dc.title | Modelling the Impact of Bemisia Tabaci in Dynamics of Tomato Yellow Leaf Curl Virus | |
| dc.type | Article |