Stability Analysis of the Rift Valley Fever Dynamical Model

Saul C. Mpeshe, Livingstone S. Luboobi, Yaw Nkansah-Gyekye

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.

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How to Cite this Article:

Saul C. Mpeshe, Livingstone S. Luboobi, Yaw Nkansah-Gyekye, Stability Analysis of the Rift Valley Fever Dynamical Model, Journal of Mathematical and Computational Science, Vol 4, No 4 (2014), 740-762

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.

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