@article{MAKHILLJEAS2020151119315,
    title = {Asymptotic Properties and Sensitivity Analysis for Lymphatic Filariasis Model},
    journal = {Journal of Engineering and Applied Sciences},
    volume = {15},
    number = {11},
    pages = {2442-2451},
    year = {2020},
    issn = {1816-949x},
    doi = {jeasci.2020.2442.2451},
    url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2020.2442.2451},
    author = {W. and},
    keywords = {Lymphatic filariasis,lyapunov function,global stability,sensitivity analysis,transmission},
    abstract = {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.}
    }