Numerical simulation for solution of SEIR models by meshless and finite difference methods

Asif, Muhammad; Khan, Zar Ali; Haider, Nadeem; Al‐Mdallal, Qasem M.

doi:10.1016/j.chaos.2020.110340

Cited by 25 publications

(11 citation statements)

References 22 publications

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“…The main advantage of the operator is that it has a nonlocal and nonsingular kernel. More recently, new advances and studies in fractional differential equations has been published from a mathematical modeling point of view, see recent papers [52] , [19] , [27] , [30] , [46] , [15] , [8] , [28] , [44] , [29] , [7] , [4] , [12] , [11] .…”

Section: Introductionmentioning

confidence: 99%

A mathematical model of Coronavirus Disease (COVID-19) containing asymptomatic and symptomatic classes

et al. 2021

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Section: Introductionmentioning

confidence: 99%

A mathematical model of Coronavirus Disease (COVID-19) containing asymptomatic and symptomatic classes

et al. 2021

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“…In literature, average researchers have used meshless as well as numerical methods like FDM, FVM, FEM, Euler, and Runge-Kutta. But the classical numerical methods like RK and Euler are less computational, efficient, and easily applicable, as meshless methods are useful in simulating physical phenomena including biological as well as engineering-related problems, as if analyzed the SEIR model of disease by applying meshless methods like EFBMM and OSBMM [ 17 ].…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling and Numerical Simulation for the Outbreak of COVID-19 Involving Loss of Immunity and Quarantined Class

Arif

Majeed

Rahman

et al. 2022

Computational and Mathematical Methods in Medicine

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For the analysis of the recent deadly pandemic Sars-Cov-2, we constructed the mathematical model containing the whole population, partitioned into five different compartments, represented by SEIQR model. This current model especially contains the quarantined class and the factor of loss of immunity. Further, we discussed the stability of the SEIQR model (constructed on the basis of system of coupled differential equations). The basic reproduction that indicates the behavior of the disease is also estimated by the use of next-generation matrix method. Numerical simulation of this model is provided, the results are analyzed by theoretically strong numerical methods, and computationally known tool MATLAB Simulink is also used for visualization of the results. Validation of results by Simulink software and numerical methods shows that our model and adopted methodology are appropriate and accurate and could be used for further predictions on COVID-19. Our results suggest that the isolation of the active cases and strong immunization of patients or individuals play a major role to fight against the deadly Sars-Cov-2.

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“…In the past decades, the global scientific community has developed several mathematical models for the transmission and prevention of infectious diseases such as childhood disease [3], HIV/AIDS [4], dengue [5], tuberculosis [6], Ebola [7], COVID-19 [8][9][10][11][12][13] and many others. These models are very critical in diverse areas, such as policy making, emergency planning, risk management, prevention strategies, and the implementation of the Technologies 2022, 10, 82 2 of 17 enhancement of various health and economic aspects [14].…”

Section: Introductionmentioning

confidence: 99%

Accurate Numerical Treatment on a Stochastic SIR Epidemic Model with Optimal Control Strategy

et al. 2022

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In this paper, a numerical study has been undertaken on the susceptible-infected-recovered (SIR) epidemic model that encompasses the mechanisms of the evolution of disease transmission; a prophylactic vaccination strategy in the susceptible populations, depending on the infective individuals. We furnish numerical and graphical simulation combined with explicit series solutions of the proposed model using the New Iterative Method (NIM) and Modified New Iterative Method (MNIM). The analytic-numeric New Iterative Method failed to deliver accurate solution for the large time domain. A new reliable algorithm based on NIM, the coupling of the Laplace transforms, and the New Iterative method is called Modified New Iterative Method (MNIM) which is presented to enhance the validity domain of NIM techniques. The convergence analysis of the MNIM has also been illustrated. The simulation results show that the vaccination strategy can slow down the spread of the epidemic rapidly. Numerical results illustrate the excellent performance of the MNIM and show that the modified method is much more accurate than the NIM.

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Numerical simulation for solution of SEIR models by meshless and finite difference methods

Cited by 25 publications

References 22 publications

A mathematical model of Coronavirus Disease (COVID-19) containing asymptomatic and symptomatic classes

A mathematical model of Coronavirus Disease (COVID-19) containing asymptomatic and symptomatic classes

Mathematical Modeling and Numerical Simulation for the Outbreak of COVID-19 Involving Loss of Immunity and Quarantined Class

Accurate Numerical Treatment on a Stochastic SIR Epidemic Model with Optimal Control Strategy

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