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On the mathematical analysis of Ebola hemorrhagic fever: deathly infection disease in West African countries.

Atangana A, Goufo EF - Biomed Res Int (2014)

Bottom Line: The model was first constructed using the classical derivative and then converted to the generalized version using the beta-derivative.The simulations were done in terms of time and beta.The study showed that, for small portion of infected individuals, the whole country could die out in a very short period of time in case there is not good prevention.

View Article: PubMed Central - PubMed

Affiliation: Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein 9300, South Africa.

ABSTRACT
For a given West African country, we constructed a model describing the spread of the deathly disease called Ebola hemorrhagic fever. The model was first constructed using the classical derivative and then converted to the generalized version using the beta-derivative. We studied in detail the endemic equilibrium points and provided the Eigen values associated using the Jacobian method. We furthered our investigation by solving the model numerically using an iteration method. The simulations were done in terms of time and beta. The study showed that, for small portion of infected individuals, the whole country could die out in a very short period of time in case there is not good prevention.

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Related in: MedlinePlus

Prediction for beta = 1.
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fig3: Prediction for beta = 1.

Mentions: In order to show the efficiency and applicability of this method for handling the system nonlinear equations we shall present some numerical solution in Figures 3, 4, 5, 6, and 7.


On the mathematical analysis of Ebola hemorrhagic fever: deathly infection disease in West African countries.

Atangana A, Goufo EF - Biomed Res Int (2014)

Prediction for beta = 1.
© Copyright Policy
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4321856&req=5

fig3: Prediction for beta = 1.
Mentions: In order to show the efficiency and applicability of this method for handling the system nonlinear equations we shall present some numerical solution in Figures 3, 4, 5, 6, and 7.

Bottom Line: The model was first constructed using the classical derivative and then converted to the generalized version using the beta-derivative.The simulations were done in terms of time and beta.The study showed that, for small portion of infected individuals, the whole country could die out in a very short period of time in case there is not good prevention.

View Article: PubMed Central - PubMed

Affiliation: Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein 9300, South Africa.

ABSTRACT
For a given West African country, we constructed a model describing the spread of the deathly disease called Ebola hemorrhagic fever. The model was first constructed using the classical derivative and then converted to the generalized version using the beta-derivative. We studied in detail the endemic equilibrium points and provided the Eigen values associated using the Jacobian method. We furthered our investigation by solving the model numerically using an iteration method. The simulations were done in terms of time and beta. The study showed that, for small portion of infected individuals, the whole country could die out in a very short period of time in case there is not good prevention.

Show MeSH
Related in: MedlinePlus