Numerical Analysis of the Susceptible Exposed Infected Quarantined and Vaccinated (Seiqv) Reaction-Diffusion Epidemic Model
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2020
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Frontiers Media Sa
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GOLD
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Abstract
In this paper, two structure-preserving nonstandard finite difference (NSFD) operator splitting schemes are designed for the solution of reaction diffusion epidemic models. The proposed schemes preserve all the essential properties possessed by the continuous systems. These schemes are applied on a diffusive SEIQV epidemic model with a saturated incidence rate to validate the results. Furthermore, the stability of the continuous system is proved, and the bifurcation value is evaluated. A comparison is also made with the existing operator splitting numerical scheme. Simulations are also performed for numerical experiments.
Description
Rafiq, Muhammad/0000-0002-2165-3479; Ur-Rehman, Aziz-/0009-0007-4185-7675; Ahmed, Nauman/0000-0003-1742-585X
Keywords
Splitting Methods, Nsfd Schemes, Positivity, Epidemic Model, Stability, Bifurcation Value, Epidemic Models, positivity, Biochemistry, Gene, Diffusion, Epidemic model, NSFD schemes, Stability (learning theory), Evolutionary Dynamics of Genetic Adaptation and Mutation, Physics, Statistics, Life Sciences, Computer simulation, Chemistry, epidemic model, Environmental health, Disease Transmission and Population Dynamics, Modeling and Simulation, Physical Sciences, Medicine, Thermodynamics, Bifurcation, Numerical analysis, bifurcation value, splitting methods, QC1-999, Population, Operator (biology), Mechanics, Mathematical analysis, Quantum mechanics, Biochemistry, Genetics and Molecular Biology, Health Sciences, Machine learning, FOS: Mathematics, Genetics, Operator splitting, Anomalous Diffusion Modeling and Analysis, Scheme (mathematics), Public Health, Environmental and Occupational Health, stability, Applied mathematics, Computer science, Reaction–diffusion system, FOS: Biological sciences, Nonlinear system, Repressor, Transcription factor, Mathematics
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Fields of Science
01 natural sciences, 0103 physical sciences, 0101 mathematics
Citation
Ahmed, Nauman...et al. (2020). "Numerical Analysis of the Susceptible Exposed Infected Quarantined and Vaccinated (SEIQV) Reaction-Diffusion Epidemic Model", Frontiers in Physics, Vol. 7.
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16
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Frontiers in Physics
Volume
7
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