| dc.creator |
Simon, Joel |
|
| dc.creator |
Mirau, Silas |
|
| dc.creator |
Luboobi, Livingstone |
|
| dc.date |
2022-01-27T06:09:20Z |
|
| dc.date |
2022-01-27T06:09:20Z |
|
| dc.date |
2020-09-25 |
|
| dc.date.accessioned |
2022-10-25T09:15:55Z |
|
| dc.date.available |
2022-10-25T09:15:55Z |
|
| dc.identifier |
http://dx.doi.org/10.22457/jmi.v19a09181 |
|
| dc.identifier |
https://dspace.nm-aist.ac.tz/handle/20.500.12479/1417 |
|
| dc.identifier.uri |
http://hdl.handle.net/123456789/94689 |
|
| dc.description |
This research article published by Journal of Mathematics and Informatics Vol. 19, 2020 |
|
| dc.description |
Prosopis juliflora plants are the most aggressive invasive species in the world.
They spread by animal movement crossing from one place land to another. In this paper a
deterministic model to examine the dynamics of Prosopis julifrola plants is formulated and
presented by adopting a similar approach of a dynamical system as used in epidemiological
modeling. The local and global stability analyses of the equilibrium points of the model
performed by using next-generation for the basic reproduction number R0
computation and
Lypunov function method. The finding from the study showed that the Prosopis free
equilibrium of the model is both locally and globally asymptotically stable if and only if
the number of secondary infections, is less than unit, that is R0 < 1. Furthermore, the study
showed that there exist Prosopis endemic equilibrium for the spread when 0 R >1. The
numerical simulation implemented in MATLAB ODE45 algorithm for solving linear
ordinary differential equations. The study findings showed that as the number of ingested
animals increase, the plant spread increases on land. Based on the findings, the study
recommend the application of the model on endemic areas to improve through: Awareness
on animal feeding the plant, provision of insight on plant invasion to policy makers and
environmental stakeholders to include in environment framework, seminars and
environment clubs by visiting community groups an educating them on plant invasion,
through this the plant eradication could be achieved. |
|
| dc.format |
application/pdf |
|
| dc.language |
en |
|
| dc.publisher |
Journal of Mathematics and Informatics |
|
| dc.subject |
Prosopis juliflora plants |
|
| dc.subject |
Mathematical model |
|
| dc.subject |
Numerical simulation |
|
| dc.title |
A Deterministic Mathematical Model for the Control of Spread of Prosopis Juliflora Plants |
|
| dc.type |
Article |
|