Global dynamics and Impact of Gaussian noise intensity on the stochastic epidemic model with local fractional derivative Article Swipe
Najeeb Alam Khan
,
Oyoon Abdul Razzaq
,
Areeba Azam Bajwa
,
Muhammad Ayaz
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1088/1402-4896/accf46
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1088/1402-4896/accf46
Society must understand, model, and forecast infectious disease transmission patterns in order to prevent pandemics. Mathematical models and computer technology may help us better understand the pandemic and create more systematic and effective infection management strategies. This study offers a novel perspective through a compartmental model that incorporates fractional calculus. The first scenario is based on proportional fractional definitions, considering compartmental individuals of susceptible, moving susceptible, exposed, infected, hospitalized, and recovered. Through an extension of this derivative, they decimated the model to integer order. We extended the deterministic model to a stochastic extension to capture the uncertainty or variance in disease transmission. It can develop an appropriate Lyapunov function to detect the presence and uniqueness of positive global solutions. Next, we discuss how the epidemic model might have become extinct. In our theoretical study, we demonstrated that a sufficiently outrageous amount of noise can cause a disease to become extinct. A modest level of noise, on the other hand, promotes the persistence of diseases and their stationary distribution. The Khasminskii method was used to determine the stationary distribution and ergodicity of the model.
Related Topics
Concepts
Epidemic model
Uniqueness
Fractional calculus
Lyapunov function
Noise (video)
Computer science
Ergodicity
Applied mathematics
Stationary distribution
Transmission (telecommunications)
Distribution (mathematics)
Mathematical optimization
Mathematics
Markov chain
Statistics
Mathematical analysis
Artificial intelligence
Population
Medicine
Nonlinear system
Physics
Image (mathematics)
Telecommunications
Environmental health
Quantum mechanics
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1088/1402-4896/accf46
- OA Status
- hybrid
- Cited By
- 3
- References
- 29
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4366605618
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4366605618Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1088/1402-4896/accf46Digital Object Identifier
- Title
-
Global dynamics and Impact of Gaussian noise intensity on the stochastic epidemic model with local fractional derivativeWork title
- Type
-
articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2023Year of publication
- Publication date
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2023-04-21Full publication date if available
- Authors
-
Najeeb Alam Khan, Oyoon Abdul Razzaq, Areeba Azam Bajwa, Muhammad AyazList of authors in order
- Landing page
-
https://doi.org/10.1088/1402-4896/accf46Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
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hybridOpen access status per OpenAlex
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https://doi.org/10.1088/1402-4896/accf46Direct OA link when available
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Epidemic model, Uniqueness, Fractional calculus, Lyapunov function, Noise (video), Computer science, Ergodicity, Applied mathematics, Stationary distribution, Transmission (telecommunications), Distribution (mathematics), Mathematical optimization, Mathematics, Markov chain, Statistics, Mathematical analysis, Artificial intelligence, Population, Medicine, Nonlinear system, Physics, Image (mathematics), Telecommunications, Environmental health, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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3Total citation count in OpenAlex
- Citations by year (recent)
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2025: 1, 2024: 1, 2023: 1Per-year citation counts (last 5 years)
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29Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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