scholarly journals Numerical computing with Levenberg–Marquardt backpropagation networks for nonlinear SEIR Ebola virus epidemic model

AIP Advances ◽  
2021 ◽  
Vol 11 (9) ◽  
pp. 095205
Author(s):  
Tahir Nawaz Cheema ◽  
Shafaq Naz
Keyword(s):  
Epidemic Model ◽  
Ebola Virus ◽  
Levenberg Marquardt ◽  
Numerical Computing

scholarly journals Cooperative system analysis of the Ebola virus epidemic model

2018 ◽  
Vol 3 ◽  
pp. 145-159 ◽  
Author(s):  
Karima Kabli ◽  
Soumia El Moujaddid ◽  
Khadija Niri ◽  
Abdessamad Tridane
Keyword(s):  
Epidemic Model ◽  
Ebola Virus ◽  
System Analysis ◽  
Cooperative System

A Discontinuous Dual Reciprocity Method in Conjunction with a Regularized Levenberg–Marquardt Method for Source Term Recovery in Inhomogeneous Anisotropic Materials

2020 ◽  
Vol 17 (10) ◽  
pp. 2050002
Author(s):  
Abdellatif Ellabib ◽  
Abdessamad El Madkouri
Keyword(s):  
Additional Data ◽  
Source Term ◽  
Nonlinear Least Squares ◽  
New Approach ◽  
Marquardt Method ◽  
Nonlinear Least Squares Problem ◽  
Levenberg Marquardt ◽  
Numerical Computing ◽  
Numerical Performance ◽  
Good Agreement

This paper outlines a new approach to identify a source term of a [Formula: see text]D elliptic equation for anisotropic nonhomogenous media. The proposed methodology is based on the minimization of an objective function representing differences between the measured potential and those calculated by using the discontinuous dual reciprocity boundary element method, the measurements are required to render a unique solution and supposed to be pointwise in the problem domain. Since the additional data may be contaminated by measurement noises or the numerical computing errors, we adopt a regularizing Levenberg–Marquardt method to solve the nonlinear least-squares problem attained from the inverse source problem. The numerical performance of the proposed approach is studied at the end for both geometries: smooth and piecewise smooth one. The results show a very good agreement with the analytical solutions under exact and noisy data.

scholarly journals Computational Intelligent Paradigms to Solve the Nonlinear SIR System for Spreading Infection and Treatment Using Levenberg–Marquardt Backpropagation

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 618
Author(s):  
Muhammad Umar ◽  
Zulqurnain Sabir ◽  
Muhammad Asif Zahoor Raja ◽  
Manoj Gupta ◽  
Dac-Nhuong Le ◽  
...  
Keyword(s):  
Neural Network ◽  
Numerical Scheme ◽  
System Of Differential Equations ◽  
Reference Dataset ◽  
Testing Procedures ◽  
The Neural Network ◽  
Levenberg Marquardt ◽  
Numerical Computing ◽  
The Mean ◽  
Computational Intelligent

The current study aims to design an integrated numerical computing-based scheme by applying the Levenberg–Marquardt backpropagation (LMB) neural network to solve the nonlinear susceptible (S), infected (I) and recovered (R) (SIR) system of differential equations, representing the spreading of infection along with its treatment. The solutions of both the categories of spreading infection and its treatment are presented by taking six different cases of SIR models using the designed LMB neural network. A reference dataset of the designed LMB neural network is established with the Adam numerical scheme for each case of the spreading infection and its treatment. The approximate outcomes of the SIR system based on the spreading infection and its treatment are presented in the training, authentication and testing procedures to adapt the neural network by reducing the mean square error (MSE) function using the LMB. Studies based on the proportional performance and inquiries based on correlation, error histograms, regression and MSE results establish the efficiency, correctness and effectiveness of the proposed LMB neural network scheme.

Susceptible Infected Removed Epidemic Model Extension for Efficient Analysis of Ebola Virus Disease Transmission

2017 ◽  
Vol 23 (9) ◽  
pp. 9107-9114
Author(s):  
Chinyere Ogochukwu Dike ◽  
Zaitul Marlizawati Zainuddin ◽  
Ikeme John Dike
Keyword(s):  
Epidemic Model ◽  
Disease Transmission ◽  
Ebola Virus ◽  
Virus Disease ◽  
Ebola Virus Disease ◽  
Model Extension

Deciphering Dynamics of Recent Epidemic Spread and Outbreak in West Africa: The Case of Ebola Virus

2016 ◽  
Vol 26 (09) ◽  
pp. 1630024 ◽  
Author(s):  
Ranjit Kumar Upadhyay ◽  
Parimita Roy
Keyword(s):  
West Africa ◽  
Epidemic Model ◽  
Ebola Virus ◽  
Control Strategies ◽  
Contact Tracing ◽  
Reported Data ◽  
Manifold Theory ◽  
Spread Of Infection ◽  
Two Equilibria

Recently, the 2014 Ebola virus (EBOV) outbreak in West Africa was the largest outbreak to date. In this paper, an attempt has been made for modeling the virus dynamics using an SEIR model to better understand and characterize the transmission trajectories of the Ebola outbreak. We compare the simulated results with the most recent reported data of Ebola infected cases in the three most affected countries Guinea, Liberia and Sierra Leone. The epidemic model exhibits two equilibria, namely, the disease-free and unique endemic equilibria. Existence and local stability of these equilibria are explored. Using central manifold theory, it is established that the transcritical bifurcation occurs when basic reproduction number passes through unity. The proposed Ebola epidemic model provides an estimate to the potential number of future cases. The model indicates that the disease will decline after peaking if multisectorial and multinational efforts to control the spread of infection are maintained. Possible implication of the results for disease eradication and its control are discussed which suggests that proper control strategies like: (i) transmission precautions, (ii) isolation and care of infectious Ebola patients, (iii) safe burial, (iv) contact tracing with follow-up and quarantine, and (v) early diagnosis are needed to stop the recurrent outbreak.

scholarly journals Spatiotemporal Evolution of Ebola Virus Disease at Sub-National Level during the 2014 West Africa Epidemic: Model Scrutiny and Data Meagreness

PLoS ONE ◽  
2016 ◽  
Vol 11 (1) ◽  
pp. e0147172 ◽  
Author(s):  
Eva Santermans ◽  
Emmanuel Robesyn ◽  
Tapiwa Ganyani ◽  
Bertrand Sudre ◽  
Christel Faes ◽  
...  
Keyword(s):  
West Africa ◽  
Epidemic Model ◽  
Ebola Virus ◽  
Virus Disease ◽  
National Level ◽  
Ebola Virus Disease ◽  
Spatiotemporal Evolution

scholarly journals Dynamical Analysis of an SEIT Epidemic Model with Application to Ebola Virus Transmission in Guinea

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Zhiming Li ◽  
Zhidong Teng ◽  
Xiaomei Feng ◽  
Yingke Li ◽  
Huiguo Zhang
Keyword(s):  
Basic Reproduction Number ◽  
Epidemic Model ◽  
Ebola Virus ◽  
Reproduction Number ◽  
Rank Correlation ◽  
Least Square Method ◽  
Least Square ◽  
Dynamical Analysis ◽  
Infectious Individual ◽  
The Basic Reproduction Number

In order to investigate the transmission mechanism of the infectious individual with Ebola virus, we establish an SEIT (susceptible, exposed in the latent period, infectious, and treated/recovery) epidemic model. The basic reproduction number is defined. The mathematical analysis on the existence and stability of the disease-free equilibrium and endemic equilibrium is given. As the applications of the model, we use the recognized infectious and death cases in Guinea to estimate parameters of the model by the least square method. With suitable parameter values, we obtain the estimated value of the basic reproduction number and analyze the sensitivity and uncertainty property by partial rank correlation coefficients.

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