Routh–Hurwitz Stability and Quasiperiodic Attractors in a Fractional-Order Model for Awareness Programs: Applications to COVID-19 Pandemic
This work explores Routh–Hurwitz stability and complex dynamics in models for awareness programs to mitigate the spread of epidemics. Here, the investigated models are the integer-order model for awareness programs and their corresponding fractional form. A non-negative solution is shown to exist in...
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2022/1939260 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832558391642292224 |
|---|---|
| author | Taher S. Hassan E. M. Elabbasy A.E. Matouk Rabie A. Ramadan Alanazi T. Abdulrahman Ismoil Odinaev |
| author_facet | Taher S. Hassan E. M. Elabbasy A.E. Matouk Rabie A. Ramadan Alanazi T. Abdulrahman Ismoil Odinaev |
| author_sort | Taher S. Hassan |
| collection | DOAJ |
| description | This work explores Routh–Hurwitz stability and complex dynamics in models for awareness programs to mitigate the spread of epidemics. Here, the investigated models are the integer-order model for awareness programs and their corresponding fractional form. A non-negative solution is shown to exist inside the globally attracting set (GAS) of the fractional model. It is also shown that the diseasefree steady state is locally asymptotically stable (LAS) given that R0 is less than one, where R0 is the basic reproduction number. However, as R0>1, an endemic steady state is created whose stability analysis is studied according to the extended fractional Routh–Hurwitz scheme, as the order lies in the interval (0,2]. Furthermore, the proposed awareness program models are numerically simulated based on the predictor-corrector algorithm and some clinical data of the COVID-19 pandemic in KSA. Besides, the model’s basic reproduction number in KSA is calculated using the selected data R0=1.977828168. In conclusion, the findings indicate the effectiveness of fractional-order calculus to simulate, predict, and control the spread of epidemiological diseases. |
| format | Article |
| id | doaj-art-7453171707684793901d93fc7769802d |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-7453171707684793901d93fc7769802d2025-02-03T01:32:33ZengWileyDiscrete Dynamics in Nature and Society1607-887X2022-01-01202210.1155/2022/1939260Routh–Hurwitz Stability and Quasiperiodic Attractors in a Fractional-Order Model for Awareness Programs: Applications to COVID-19 PandemicTaher S. Hassan0E. M. Elabbasy1A.E. Matouk2Rabie A. Ramadan3Alanazi T. Abdulrahman4Ismoil Odinaev5Department of Mathematics College of ScienceDepartment of Mathematics Faculty of ScienceDepartment of Mathematics College of Science Al-ZulfiCollege of Computer Science and EngineeringDepartment of Mathematics College of ScienceDepartment of Automated Electrical Systems Ural Power Engineering InstituteThis work explores Routh–Hurwitz stability and complex dynamics in models for awareness programs to mitigate the spread of epidemics. Here, the investigated models are the integer-order model for awareness programs and their corresponding fractional form. A non-negative solution is shown to exist inside the globally attracting set (GAS) of the fractional model. It is also shown that the diseasefree steady state is locally asymptotically stable (LAS) given that R0 is less than one, where R0 is the basic reproduction number. However, as R0>1, an endemic steady state is created whose stability analysis is studied according to the extended fractional Routh–Hurwitz scheme, as the order lies in the interval (0,2]. Furthermore, the proposed awareness program models are numerically simulated based on the predictor-corrector algorithm and some clinical data of the COVID-19 pandemic in KSA. Besides, the model’s basic reproduction number in KSA is calculated using the selected data R0=1.977828168. In conclusion, the findings indicate the effectiveness of fractional-order calculus to simulate, predict, and control the spread of epidemiological diseases.http://dx.doi.org/10.1155/2022/1939260 |
| spellingShingle | Taher S. Hassan E. M. Elabbasy A.E. Matouk Rabie A. Ramadan Alanazi T. Abdulrahman Ismoil Odinaev Routh–Hurwitz Stability and Quasiperiodic Attractors in a Fractional-Order Model for Awareness Programs: Applications to COVID-19 Pandemic Discrete Dynamics in Nature and Society |
| title | Routh–Hurwitz Stability and Quasiperiodic Attractors in a Fractional-Order Model for Awareness Programs: Applications to COVID-19 Pandemic |
| title_full | Routh–Hurwitz Stability and Quasiperiodic Attractors in a Fractional-Order Model for Awareness Programs: Applications to COVID-19 Pandemic |
| title_fullStr | Routh–Hurwitz Stability and Quasiperiodic Attractors in a Fractional-Order Model for Awareness Programs: Applications to COVID-19 Pandemic |
| title_full_unstemmed | Routh–Hurwitz Stability and Quasiperiodic Attractors in a Fractional-Order Model for Awareness Programs: Applications to COVID-19 Pandemic |
| title_short | Routh–Hurwitz Stability and Quasiperiodic Attractors in a Fractional-Order Model for Awareness Programs: Applications to COVID-19 Pandemic |
| title_sort | routh hurwitz stability and quasiperiodic attractors in a fractional order model for awareness programs applications to covid 19 pandemic |
| url | http://dx.doi.org/10.1155/2022/1939260 |
| work_keys_str_mv | AT tahershassan routhhurwitzstabilityandquasiperiodicattractorsinafractionalordermodelforawarenessprogramsapplicationstocovid19pandemic AT emelabbasy routhhurwitzstabilityandquasiperiodicattractorsinafractionalordermodelforawarenessprogramsapplicationstocovid19pandemic AT aematouk routhhurwitzstabilityandquasiperiodicattractorsinafractionalordermodelforawarenessprogramsapplicationstocovid19pandemic AT rabiearamadan routhhurwitzstabilityandquasiperiodicattractorsinafractionalordermodelforawarenessprogramsapplicationstocovid19pandemic AT alanazitabdulrahman routhhurwitzstabilityandquasiperiodicattractorsinafractionalordermodelforawarenessprogramsapplicationstocovid19pandemic AT ismoilodinaev routhhurwitzstabilityandquasiperiodicattractorsinafractionalordermodelforawarenessprogramsapplicationstocovid19pandemic |