3D-Chaotic discrete system of vector borne diseases using environment factor with deep analysis
Vector-Borne Disease (VBD) is a disease that consequences as of an infection communicated to humans and other animals by blood-feeding anthropoids, like mosquitoes, fleas, and ticks. Instances of VBDs include Dengue infection, Lyme infection, West Nile virus, and malaria. In this effort, we formulat...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-01-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022219?viewType=HTML |
| _version_ | 1798020780718555136 |
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| author | Shaymaa H. Salih Nadia M. G. Al-Saidi |
| author_facet | Shaymaa H. Salih Nadia M. G. Al-Saidi |
| author_sort | Shaymaa H. Salih |
| collection | DOAJ |
| description | Vector-Borne Disease (VBD) is a disease that consequences as of an infection communicated to humans and other animals by blood-feeding anthropoids, like mosquitoes, fleas, and ticks. Instances of VBDs include Dengue infection, Lyme infection, West Nile virus, and malaria. In this effort, we formulate a parametric discrete-time chaotic system that involves an environmental factor causing VBD. Our suggestion is to study how the inclusion of the parasitic transmission media (PTM) in the system would impact the analysis results. We consider a chaotic formula of the PTM impact, separating two types of functions, the host and the parasite. The considered applications are typically characterized by chaotic dynamics, and thus chaotic systems are suitable for their modeling, with corresponding model parameters, that depend on control measures. Dynamical performances of the suggested system and its global stability are considered. |
| first_indexed | 2024-04-11T17:03:17Z |
| format | Article |
| id | doaj.art-0e6802bde66046178c44ea712d0f3264 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-11T17:03:17Z |
| publishDate | 2022-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-0e6802bde66046178c44ea712d0f32642022-12-22T04:13:06ZengAIMS PressAIMS Mathematics2473-69882022-01-01733972398710.3934/math.20222193D-Chaotic discrete system of vector borne diseases using environment factor with deep analysisShaymaa H. Salih0Nadia M. G. Al-Saidi11. Department of Mathematics, College of Science, Mustansiriyah University, Iraq2. Department of Applied Sciences, University of Technology, IraqVector-Borne Disease (VBD) is a disease that consequences as of an infection communicated to humans and other animals by blood-feeding anthropoids, like mosquitoes, fleas, and ticks. Instances of VBDs include Dengue infection, Lyme infection, West Nile virus, and malaria. In this effort, we formulate a parametric discrete-time chaotic system that involves an environmental factor causing VBD. Our suggestion is to study how the inclusion of the parasitic transmission media (PTM) in the system would impact the analysis results. We consider a chaotic formula of the PTM impact, separating two types of functions, the host and the parasite. The considered applications are typically characterized by chaotic dynamics, and thus chaotic systems are suitable for their modeling, with corresponding model parameters, that depend on control measures. Dynamical performances of the suggested system and its global stability are considered.https://www.aimspress.com/article/doi/10.3934/math.2022219?viewType=HTMLdifferential operatorfractal chaotic systemfractallocally fractional calculusfractal dynamic systemdifference system |
| spellingShingle | Shaymaa H. Salih Nadia M. G. Al-Saidi 3D-Chaotic discrete system of vector borne diseases using environment factor with deep analysis AIMS Mathematics differential operator fractal chaotic system fractal locally fractional calculus fractal dynamic system difference system |
| title | 3D-Chaotic discrete system of vector borne diseases using environment factor with deep analysis |
| title_full | 3D-Chaotic discrete system of vector borne diseases using environment factor with deep analysis |
| title_fullStr | 3D-Chaotic discrete system of vector borne diseases using environment factor with deep analysis |
| title_full_unstemmed | 3D-Chaotic discrete system of vector borne diseases using environment factor with deep analysis |
| title_short | 3D-Chaotic discrete system of vector borne diseases using environment factor with deep analysis |
| title_sort | 3d chaotic discrete system of vector borne diseases using environment factor with deep analysis |
| topic | differential operator fractal chaotic system fractal locally fractional calculus fractal dynamic system difference system |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022219?viewType=HTML |
| work_keys_str_mv | AT shaymaahsalih 3dchaoticdiscretesystemofvectorbornediseasesusingenvironmentfactorwithdeepanalysis AT nadiamgalsaidi 3dchaoticdiscretesystemofvectorbornediseasesusingenvironmentfactorwithdeepanalysis |