title: On the mathematical analysis of Ebola hemorrhagic fever: deathly infection disease in West African countries.
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.
authors: Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein 9300, South Africa.
authors: Abdon
authors: A
authors: Atangana
authors: Department of Mathematical Sciences, University of South Africa, Florida Sciences Campus, Florida 0003, South Africa.
authors: Emile Franc Doungmo
authors: EF
authors: Goufo
mesh_terms: D000354:Africa, Western / Q000453:epidemiology; D005260:Female; D019142:Hemorrhagic Fever, Ebola / Q000453:epidemiology* / Q000517:prevention & control / Q000635:transmission*; D006801:Humans; D008297:Male; D008954:Models, Biological