Finite-time contraction stability of a stochastic reaction-diffusion dengue model with impulse and Markov switching Article Swipe
Wei You
,
Jie Ren
,
Qimin Zhang
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.3934/mbe.2023757
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.3934/mbe.2023757
From the perspective of prevention and treatment of dengue, it is important to minimize the number of infections within a limited time frame. That is, the study of finite time contraction stability (FTCS) of dengue system is a meaningful topic. This article proposes a dengue epidemic model with reaction-diffusion, impulse and Markov switching. By constructing an equivalent system, the well-posedness of the positive solution is proved. The main result is that sufficient conditions to guarantee the finite time contraction stability of the dengue model are acquired based on the average pulse interval method and the bounded pulse interval method. Furthermore, the numerical findings indicate the influences of impulse, control strategies and noise intensity on the FTCS.
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Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.3934/mbe.2023757
- OA Status
- gold
- Cited By
- 4
- References
- 35
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4386236723
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4386236723Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.3934/mbe.2023757Digital Object Identifier
- Title
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Finite-time contraction stability of a stochastic reaction-diffusion dengue model with impulse and Markov switchingWork title
- Type
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articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
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2023Year of publication
- Publication date
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2023-01-01Full publication date if available
- Authors
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Wei You, Jie Ren, Qimin ZhangList of authors in order
- Landing page
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https://doi.org/10.3934/mbe.2023757Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
goldOpen access status per OpenAlex
- OA URL
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https://doi.org/10.3934/mbe.2023757Direct OA link when available
- Concepts
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Impulse (physics), Contraction (grammar), Markov chain, Mathematics, Applied mathematics, Statistical physics, Control theory (sociology), Computer science, Biological system, Mechanics, Physics, Classical mechanics, Statistics, Medicine, Biology, Internal medicine, Artificial intelligence, Control (management)Top concepts (fields/topics) attached by OpenAlex
- Cited by
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4Total citation count in OpenAlex
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2025: 4Per-year citation counts (last 5 years)
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35Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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