Stability Analysis of the Rift Valley Fever Dynamical Model
Abstract
Stability analysis of a deterministic SEIR model of Rift Valley Fever with climate change parameters has been considered. The computational results show that the disease-free equilibrium point (DFE) is locally asymptotically stable, and using the Metzler stability theory, we find that the DFE is globally asymptotically stable when R0< 1. Using the Lyaponuv stability theory and LaSalle’s Invariant Principle we find that the endemic equilibrium point (EE) is globally asymptotically stable when R0> 1. These results are in conjecture with the results obtained from numerical simulations.
Copyright © 2014 Saul C. Mpeshe, Livingstone S. Luboobi, Yaw Nkansah-Gyekye. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
S. C. Mpeshe, L. S. Luboobi, Y. Nkansah-Gyekye, Stability Analysis of the Rift Valley Fever Dynamical Model, J. Math. Comput. Sci. 4 (2014), 740–762.
BibTeX
@article{Mpeshe2014,
author = {Mpeshe, Saul C. and Luboobi, Livingstone S. and Nkansah-Gyekye, Yaw},
title = {Stability Analysis of the Rift Valley Fever Dynamical Model},
journal = {J. Math. Comput. Sci.},
volume = {4},
year = {2014},
pages = {740--762},
doi = {}
}