| dc.creator |
Massawe, Laurencia N. |
|
| dc.creator |
Massawe, Estomih S. |
|
| dc.creator |
Makinde, Oluwole D. |
|
| dc.date |
2016-06-26T17:16:14Z |
|
| dc.date |
2016-06-26T17:16:14Z |
|
| dc.date |
2015 |
|
| dc.date.accessioned |
2018-03-27T08:57:55Z |
|
| dc.date.available |
2018-03-27T08:57:55Z |
|
| dc.identifier |
Massawe, L.N., Massawe, E.S. and Makinde, O.D., 2015. Temporal Model for Dengue Disease with Treatment. Advances in Infectious Diseases, 5(01), p.21. |
|
| dc.identifier |
http://hdl.handle.net/20.500.11810/2740 |
|
| dc.identifier |
10.4236/aid.2015.51003 |
|
| dc.identifier.uri |
http://hdl.handle.net/20.500.11810/2740 |
|
| dc.description |
This paper examines the effect of treatment of Dengue fever disease. A non linear mathematical
model for the problem is proposed and analysed quantitatively using the stability theory of the
differential equations. The results show that the disease-free equilibrium point is locally andglobally
asymptotically stable if the reproduction number (R ) 0 is less than unity. The additive
compound matrices approach is used to show that the dengue fever model’s endemic equilibrium
point is locally asymptotically stable when trace, determinant and determinant of second additive
compound matrix of the Jacobian matrix are all negative. However, treatment will have a control
of dengue fever disease. Numerical simulation of the model is implemented to investigate the sensitivity
of certain key parameters on the dengue fever disease with treatment. |
|
| dc.language |
en |
|
| dc.publisher |
Scientific Research |
|
| dc.subject |
Dengue Fever Disease |
|
| dc.subject |
Treatment of Dengue Fever Disease |
|
| dc.subject |
Equilibrium Stability |
|
| dc.subject |
Reproduction Number |
|
| dc.subject |
Sensitivity Index |
|
| dc.title |
Temporal Model for Dengue Disease with Treatment |
|
| dc.type |
Journal Article, Peer Reviewed |
|