TY  - JOUR
T1  - Asymptotic Properties and Sensitivity Analysis for Lymphatic Filariasis Model
AU - Chinviriyasit, W. AU - Jaichuang, A. 
JO  - Journal of Engineering and Applied Sciences
VL  - 15
IS  - 11
SP  - 2442
EP  - 2451
PY  - 2020
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2020.2442.2451
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2020.2442.2451
KW  - Lymphatic filariasis
KW  -lyapunov function
KW  -global stability
KW  -sensitivity analysis
KW  -transmission
AB  - A deterministic model for the transmission
dynamics of Lymphatic Fifilariasis (LF) is formulated and
analyszed. By using suitable Lyapunov functions and
LaSalles invariance principle, we prove the global
asymptotic stability of the all equilibria of the model. It is
shown that the model has a globally-asymptotically stable
disease-free equilibrium whenever the threshold value
called the reproductive number (R<sub>0</sub>) is less than unity. If
R<sub>0</sub>>1, the model has a unique endemic equilibrium and it
is locally asymptotically stable in the interior of the
feasible region and the disease will persist at the endemic
equilibrium if it is initially present. The sensitivity
analysis based on the mathematical technique has been
performed to determine the importance of the model
parameters in making strategies for controlling LF.
ER  -