Research Outputs (Mathematical Sciences)https://hdl.handle.net/10500/37562024-03-28T09:36:21Z2024-03-28T09:36:21ZModeling, analyzing and simulating the dynamics of Lassa fever in NigeriaOjo, Mayowa M.Goufo, Emile F. D.https://hdl.handle.net/10500/284932022-03-31T10:32:26Z2022-01-25T00:00:00ZModeling, analyzing and simulating the dynamics of Lassa fever in Nigeria
Ojo, Mayowa M.; Goufo, Emile F. D.
Abstract
Lassa fever is an infectious and zoonotic disease with incidence ranging between a hundred to three hundred thousand cases, with approximately five thousand deaths reported yearly in West Africa. This disease has become endemic in the Lassa belt of Sub-Saharan Africa, thus increasing the health burden in these regions including Nigeria. A deterministic mathematical model is presented to study the dynamics of Lassa fever in Nigeria. The model describes the transmission between two interacting hosts, namely the human and rodent populations. Using the cumulative number of cases reported by the Nigerian Centre for Disease Control within the first week of January 2020 through the eleventh week in 2021, we performed the model fitting and parameterization using the nonlinear least square method. The reproduction number
$${\mathcal {R}}_{0}$$
R
0
which measures the potential spread of Lassa fever in the population is used to investigate the local and global stability of the system. The result shows that the model system is locally and globally asymptomatically stable whenever
$${\mathcal {R}}_{0}<1$$
R
0
<
1
, otherwise it is unstable. Furthermore, the endemic equilibrium stability is investigated and the criteria for the existence of the phenomenon of bifurcation is presented. We performed the sensitivity analysis of each reproduction number parameter and solutions of the developed model are derived through an iterative numerical technique, a six-stage fifth-order Runge–Kutta method. Numerical simulations of the total infected human population
$$(E_{h}+I_{h})$$
(
E
h
+
I
h
)
under different numerical values (controlled parameters) are presented. The result from this study shows that combined controlled parameters made the total infected human population decline faster and thus reduces Lassa fever’s burden on the population.
2022-01-25T00:00:00ZOperational matrices based on the shifted fifth-kind Chebyshev polynomials for solving nonlinear variable order integro-differential equationsJafari, H.Nemati, S.Ganji, R. M.https://hdl.handle.net/10500/282232022-03-31T11:31:28Z2021-10-02T00:00:00ZOperational matrices based on the shifted fifth-kind Chebyshev polynomials for solving nonlinear variable order integro-differential equations
Jafari, H.; Nemati, S.; Ganji, R. M.
Abstract
In this research, we study a general class of variable order integro-differential equations (VO-IDEs). We propose a numerical scheme based on the shifted fifth-kind Chebyshev polynomials (SFKCPs). First, in this scheme, we expand the unknown function and its derivatives in terms of the SFKCPs. To carry out the proposed scheme, we calculate the operational matrices depending on the SFKCPs to find an approximate solution of the original problem. These matrices, together with the collocation points, are used to transform the original problem to form a system of linear or nonlinear algebraic equations. We discuss the convergence of the method and then give an estimation of the error. We end by solving numerical tests, which show the high accuracy of our results.
2021-10-02T00:00:00ZNew general integral transform via Atangana–Baleanu derivativesMeddahi, M.Jafari, HosseinNcube, M. N.https://hdl.handle.net/10500/278812022-03-31T11:39:06Z2021-08-19T00:00:00ZNew general integral transform via Atangana–Baleanu derivatives
Meddahi, M.; Jafari, Hossein; Ncube, M. N.
Abstract
The current paper is about the investigation of a new integral transform introduced recently by Jafari. Specifically, we explore the applicability of this integral transform on Atangana–Baleanu derivative and the associated fractional integral. It is shown that by applying specific conditions on this integral transform, other integral transforms are deduced. We provide examples to reinforce the applicability of this new integral transform.
2021-08-19T00:00:00ZLie symmetry and μ-symmetry methods for nonlinear generalized Camassa–Holm equationJafari, H.Goodarzi, K.Khorshidi, M.Parvaneh, V.Hammouch, Z.https://hdl.handle.net/10500/277472021-08-20T14:37:40Z2021-07-08T00:00:00ZLie symmetry and μ-symmetry methods for nonlinear generalized Camassa–Holm equation
Jafari, H.; Goodarzi, K.; Khorshidi, M.; Parvaneh, V.; Hammouch, Z.
Abstract
In this paper, a Lie symmetry method is used for the nonlinear generalized Camassa–Holm equation and as a result reduction of the order and computing the conservation laws are presented. Furthermore, μ-symmetry and μ-conservation laws of the generalized Camassa–Holm equation are obtained.
2021-07-08T00:00:00Z