Numerical Simulations for Stochastic Meme Epidemic Model
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Date
2020
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Publisher
Springer
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GOLD
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Abstract
The primary purpose of this study is to perform the comparison of deterministic and stochastic modeling. The effect of threshold number is also observed in this model. For numerical simulations, we have developed some stochastic explicit approaches, but they are dependent on time step size. The implicitly driven explicit approach has been developed for a stochastic meme model. The proposed approach is always independent of time step size. Also, we have presented theorems in support of convergence of the proposed approach for the stochastic meme model.
Description
Arif, Muhammad Shoaib/0000-0002-6009-5609; Raza, Ali/0000-0002-6443-9966; Rafiq, Muhammad/0000-0002-2165-3479
Keywords
Meme Model, Stochastic Approaches, Convergence Analysis, Epidemic Models, Economics, Mathematical analysis, Differential equation, Convergence analysis, Biochemistry, Genetics and Molecular Biology, Health Sciences, QA1-939, Genetics, FOS: Mathematics, Stochastic approaches, Stochastic modelling, Economic growth, Stochastic differential equation, Evolutionary Dynamics of Genetic Adaptation and Mutation, Modeling the Dynamics of COVID-19 Pandemic, Mathematical optimization, Statistics, Public Health, Environmental and Occupational Health, Modeling, Life Sciences, Partial differential equation, Applied mathematics, Computer science, Stochastic process, Meme model, Disease Transmission and Population Dynamics, FOS: Biological sciences, Modeling and Simulation, Physical Sciences, Convergence (economics), Medicine, Mathematics, Ordinary differential equation, Epidemiology, meme model, convergence analysis, Finite difference methods for initial value and initial-boundary value problems involving PDEs, stochastic approaches, Numerical solutions to stochastic differential and integral equations, Simulation of dynamical systems, Social networks; opinion dynamics
Turkish CoHE Thesis Center URL
Fields of Science
02 engineering and technology, 01 natural sciences, 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering
Citation
Raza, Ali...et al. (2020). "Numerical simulations for stochastic meme epidemic model", Advances in Difference Equations, Vol. 2020, No. 1.
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Q1
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OpenCitations Citation Count
10
Source
Advances in Difference Equations
Volume
2020
Issue
1
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CrossRef : 10
Scopus : 12
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12
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12
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1
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2.991481
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