Analysis of Control Measures for Vector-borne Diseases Using a Multistage Vector Model with Multi-Host Sub-populations Article Swipe
Francis G. T. Kamba
,
Leonard C. Eze
,
Jean Claude Kamgang
,
Christopher Thron
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2306.14926
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2306.14926
We propose and analyze an epidemiological model for vector borne diseases that integrates a multi-stage vector population and several host sub-populations which may be characterized by a variety of compartmental model types: subpopulations all include Susceptible and Infected compartments, but may or may not include Exposed and/or Recovered compartments. The model was originally designed to evaluate the effectiveness of various prophylactic measures in malaria-endemic areas, but can be applied as well to other vector-borne diseases. This model is expressed as a system of several differential equations, where the number of equations depends on the particular assumptions of the model. We compute the basic reproduction number $\mathcal R_0$, and show that if $\mathcal R_0\leqslant 1$, the disease free equilibrium (DFE) is globally asymptotically stable (GAS) on the nonnegative orthant. If $\mathcal R_0>1$, the system admits a unique endemic equilibrium (EE) that is GAS. We analyze the sensitivity of $R_0$ and the EE to different system parameters, and based on this analysis we discuss the relative effectiveness of different control measures.
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- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2306.14926
- https://arxiv.org/pdf/2306.14926
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4382537477
All OpenAlex metadata
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- OpenAlex ID
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https://openalex.org/W4382537477Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2306.14926Digital Object Identifier
- Title
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Analysis of Control Measures for Vector-borne Diseases Using a Multistage Vector Model with Multi-Host Sub-populationsWork title
- Type
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preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
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2023Year of publication
- Publication date
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2023-06-24Full publication date if available
- Authors
-
Francis G. T. Kamba, Leonard C. Eze, Jean Claude Kamgang, Christopher ThronList of authors in order
- Landing page
-
https://arxiv.org/abs/2306.14926Publisher landing page
- PDF URL
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https://arxiv.org/pdf/2306.14926Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2306.14926Direct OA link when available
- Concepts
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Orthant, Vector (molecular biology), Host (biology), Applied mathematics, Population, Mathematics, Basic reproduction number, Stability theory, Mathematical optimization, Biology, Ecology, Physics, Demography, Nonlinear system, Gene, Recombinant DNA, Biochemistry, Quantum mechanics, SociologyTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.Recovered | 47 |
| abstract_inverted_index.different | 152, 166 |
| abstract_inverted_index.diseases. | 74 |
| abstract_inverted_index.equations | 90 |
| abstract_inverted_index.expressed | 78 |
| abstract_inverted_index.measures. | 168 |
| abstract_inverted_index.R_0>1$, | 130 |
| abstract_inverted_index.equations, | 85 |
| abstract_inverted_index.integrates | 12 |
| abstract_inverted_index.originally | 52 |
| abstract_inverted_index.particular | 94 |
| abstract_inverted_index.population | 16 |
| abstract_inverted_index.Susceptible | 35 |
| abstract_inverted_index.assumptions | 95 |
| abstract_inverted_index.equilibrium | 117, 137 |
| abstract_inverted_index.multi-stage | 14 |
| abstract_inverted_index.nonnegative | 126 |
| abstract_inverted_index.parameters, | 154 |
| abstract_inverted_index.sensitivity | 145 |
| abstract_inverted_index.R_0\leqslant | 112 |
| abstract_inverted_index.differential | 84 |
| abstract_inverted_index.prophylactic | 60 |
| abstract_inverted_index.reproduction | 103 |
| abstract_inverted_index.vector-borne | 73 |
| abstract_inverted_index.characterized | 24 |
| abstract_inverted_index.compartmental | 29 |
| abstract_inverted_index.compartments, | 38 |
| abstract_inverted_index.compartments. | 48 |
| abstract_inverted_index.effectiveness | 57, 164 |
| abstract_inverted_index.asymptotically | 121 |
| abstract_inverted_index.subpopulations | 32 |
| abstract_inverted_index.epidemiological | 5 |
| abstract_inverted_index.malaria-endemic | 63 |
| abstract_inverted_index.sub-populations | 20 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 4 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/3 |
| sustainable_development_goals[0].score | 0.8299999833106995 |
| sustainable_development_goals[0].display_name | Good health and well-being |
| citation_normalized_percentile |