| dc.creator |
Mgonja, Daniel S. |
|
| dc.creator |
Massawe, Estomih S. |
|
| dc.creator |
Makinde, Oluwole D. |
|
| dc.date |
2016-06-26T17:13:46Z |
|
| dc.date |
2016-06-26T17:13:46Z |
|
| dc.date |
2015 |
|
| dc.date.accessioned |
2018-03-27T08:57:54Z |
|
| dc.date.available |
2018-03-27T08:57:54Z |
|
| dc.identifier |
Mgonja, D.S., Massawe, E.S. and Makinde, O.D., 2015. Computational Modelling of Cholera Bacteriophage with Treatment. Open Journal of Epidemiology, 5(03), p.172. |
|
| dc.identifier |
http://hdl.handle.net/20.500.11810/2718 |
|
| dc.identifier |
10.4236/ojepi.2015.53022 |
|
| dc.identifier.uri |
http://hdl.handle.net/20.500.11810/2718 |
|
| dc.description |
This paper examines the computational modelling of cholera bacteriophage with treatment. A
nonlinear mathematical model for cholera bacteriophage and treatment is formulated and analysed.
The effective reproduction number of the nonlinear model system is calculated by next
generation operator method. By using the next generation matrix approach, the disease-free equilibrium
is found to be locally stable at threshold parameter less than unity and unstable at threshold
parameter greater than unity. Globally, the disease free equilibrium point is not stable due to
existence of forward bifurcation at threshold parameter equal to unity. Stability analysis and numerical
simulations suggest that the combination of bacteriophage and treatment may contribute
to lessening the severity of cholera epidemics by reducing the number of Vibrio cholerae in the environment.
Hence with the presence of bacteriophage virus and treatment, cholera is self-limiting
in nature. |
|
| dc.language |
en |
|
| dc.publisher |
Scientific Research |
|
| dc.subject |
Cholera |
|
| dc.subject |
Bacteriophage |
|
| dc.subject |
Treatment |
|
| dc.subject |
Vibrio cholerae |
|
| dc.subject |
Equilibrium |
|
| dc.subject |
Stability |
|
| dc.subject |
Effective Reproduction Number |
|
| dc.title |
Computational Modelling of Cholera Bacteriophage with Treatment |
|
| dc.type |
Journal Article, Peer Reviewed |
|