Numerical, Approximate Solutions, and Optimal Control on the Deathly Lassa Hemorrhagic Fever Disease in Pregnant Women

Abstract

This paper is devoted to the model of Lassa hemorrhagic fever (LHF) disease in pregnant women. This disease is a biocidal fever and epidemic. LHF disease in pregnant women has negative impacts that were initially appeared in Africa. In the present study, we find an approximate solution to the fractional-order model that describes the fatal LHF disease. Laplace transforms coupled with the Adomian decomposition method (ADM) are applied. In addition, the fractional-order LHF model is numerically simulated in terms of a varied fractional order. Furthermore, a fractional order optimal control for the LHF model is studied.

Influential nodes identification in complex networks: a comprehensive literature review

“…In addition, network theory has recently proven useful in identifying bottlenecks in urban traffic. Network science is the subject of many conferences in a variety of different fields [ 22 ].…”

Global Stability with Lyapunov Function and Dynamics of SEIR-Modified Lassa Fever Model in Sight Power Law Kernel

“…Te dynamics of LF transmission were shown using a nonautonomous system of nonlinear ordinary diferential equations that took seasonal fuctuation in the occurrence of Mastomys into account [8,9], as well as other mathematical studies connected to the Lassa virus [10][11][12]. Pregnant women who have LHF disease sufer harmful efects that frst surfaced in Africa [13,14].…”

Modelling the transmission dynamics of Lassa fever with nonlinear incidence rate and vertical transmission

“…Since the application of optimal control theory to disease modelling, there is a significant number of researches in the literature of mathematical modelling of infectious diseases that make use of optimal control theory concept (Falowo et al, 2022;Asamoah et al, 2020Asamoah et al, , 2022Cantor and Ganiats, 1999). However, despite that optimal control theory has provided useful epidemiological insights in ascertaining the optimal control interventions needed to minimize the dynamics of disease transmission in the community at minimum cost of implementation, the number of studies that have made use of mathematical modelling approach to investigate the optimal control of LF transmission dynamics in the literature of mathematical epidemiology is limited (Peter et al, 2020;Higazy et al, 2021;Onah et al, 2020;Ojo et al, 2022;Ibrahim et al, 2021;Musa et al, 2022). For instance, Peter et al (2020) developed seven-dimensional non-optimal control and optimal control compartmental models for LF transmission dynamics.…”

“…To explicitly derive the necessary conditions for the optimal control quadruple, Pontryagin's maximum principle (PMP) was employed by the authors. Higazy et al (2021) constructed a 4-dimensional deterministic fractional-order optimal control model to describe the dynamics of LF in pregnant woman population. Furthermore, the authors in Onah et al (2020) have presented and analysed both non-optimal control and optimal control mathematical models describing the transmission dynamics of LF in the interacting human and rodent populations.…”