ROLE OF VACCINATION ON THE CO-INFECTION MODEL WITH COVID-19 ASSOCIATED WITH DIABETES
COVID-19 infection is particularly dangerous for individuals with comorbidities such as kidney disease and diabetes due to weakened immunity. While the pandemic has impacted people of all ages and socioeconomic backgrounds, those with underlying medical conditions are more susceptible to severe out...
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Institute of Mechanics of Continua and Mathematical Sciences
2024-11-01
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| Series: | Journal of Mechanics of Continua and Mathematical Sciences |
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| Online Access: | https://jmcms.s3.amazonaws.com/wp-content/uploads/2024/11/14133512/jmcms-2411004-Role-of-Vaccination-on-the-Co-infection-Model-AH-HB-1.pdf |
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| author | Md. Abdul Hye Md. Haider Ali Biswas Mohammed Forhad Uddin |
| author_facet | Md. Abdul Hye Md. Haider Ali Biswas Mohammed Forhad Uddin |
| author_sort | Md. Abdul Hye |
| collection | DOAJ |
| description | COVID-19 infection is particularly dangerous for individuals with
comorbidities such as kidney disease and diabetes due to weakened immunity. While the pandemic has impacted people of all ages and socioeconomic backgrounds, those with underlying medical conditions are more susceptible to severe outcomes. However, the role of vaccination in the co-infection dynamics of COVID-19 among diabetic patients is not well-represented in the literature. This study examines the unique challenges presented by the co-infection of COVID-19 in individuals with diabetes, focusing on disease transmission dynamics. We employ a mathematical modeling approach using a seven-compartment model that incorporates vaccination and comorbidities like diabetes to analyze the dynamics of COVID-19 outbreaks. Analytical
investigations were conducted to demonstrate the solutions' existence, boundedness, positivity, and sensitivity. After calculating the basic reproduction number, we performed a stability analysis of the model's equilibrium points. Our findings indicate that when the reproduction number is less than unity, the disease-free equilibrium is both locally and globally stable. Furthermore, as the vaccination rate increases, the incidence of COVID-19 and its co-infections with diabetes decreases. These results suggest that effective disease treatment strategies should consider the potential impact of vaccination on the co-infection of COVID-19 in diabetic patients. |
| format | Article |
| id | doaj-art-3f97e5f6bd8c4a739cb4dd65733451be |
| institution | DOAJ |
| issn | 0973-8975 2454-7190 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Institute of Mechanics of Continua and Mathematical Sciences |
| record_format | Article |
| series | Journal of Mechanics of Continua and Mathematical Sciences |
| spelling | doaj-art-3f97e5f6bd8c4a739cb4dd65733451be2025-08-20T02:48:57ZengInstitute of Mechanics of Continua and Mathematical SciencesJournal of Mechanics of Continua and Mathematical Sciences0973-89752454-71902024-11-01191112614310.26782/jmcms.2024.11.00009ROLE OF VACCINATION ON THE CO-INFECTION MODEL WITH COVID-19 ASSOCIATED WITH DIABETESMd. Abdul Hye0Md. Haider Ali Biswas1Mohammed Forhad Uddin2Department of Mathematics and Statistics, Bangladesh University of Business and Technology (BUBT), Dhaka-1216, Bangladesh.Mathematics Discipline, Khulna University, Khulna-9208, Bangladesh.Department of Mathematics, Bangladesh University of Engineering and Technology (BUET), Dhaka-1000, Bangladesh.COVID-19 infection is particularly dangerous for individuals with comorbidities such as kidney disease and diabetes due to weakened immunity. While the pandemic has impacted people of all ages and socioeconomic backgrounds, those with underlying medical conditions are more susceptible to severe outcomes. However, the role of vaccination in the co-infection dynamics of COVID-19 among diabetic patients is not well-represented in the literature. This study examines the unique challenges presented by the co-infection of COVID-19 in individuals with diabetes, focusing on disease transmission dynamics. We employ a mathematical modeling approach using a seven-compartment model that incorporates vaccination and comorbidities like diabetes to analyze the dynamics of COVID-19 outbreaks. Analytical investigations were conducted to demonstrate the solutions' existence, boundedness, positivity, and sensitivity. After calculating the basic reproduction number, we performed a stability analysis of the model's equilibrium points. Our findings indicate that when the reproduction number is less than unity, the disease-free equilibrium is both locally and globally stable. Furthermore, as the vaccination rate increases, the incidence of COVID-19 and its co-infections with diabetes decreases. These results suggest that effective disease treatment strategies should consider the potential impact of vaccination on the co-infection of COVID-19 in diabetic patients.https://jmcms.s3.amazonaws.com/wp-content/uploads/2024/11/14133512/jmcms-2411004-Role-of-Vaccination-on-the-Co-infection-Model-AH-HB-1.pdfcovid-19diabetescomorbidityco-infectionvaccination |
| spellingShingle | Md. Abdul Hye Md. Haider Ali Biswas Mohammed Forhad Uddin ROLE OF VACCINATION ON THE CO-INFECTION MODEL WITH COVID-19 ASSOCIATED WITH DIABETES Journal of Mechanics of Continua and Mathematical Sciences covid-19 diabetes comorbidity co-infection vaccination |
| title | ROLE OF VACCINATION ON THE CO-INFECTION MODEL WITH COVID-19 ASSOCIATED WITH DIABETES |
| title_full | ROLE OF VACCINATION ON THE CO-INFECTION MODEL WITH COVID-19 ASSOCIATED WITH DIABETES |
| title_fullStr | ROLE OF VACCINATION ON THE CO-INFECTION MODEL WITH COVID-19 ASSOCIATED WITH DIABETES |
| title_full_unstemmed | ROLE OF VACCINATION ON THE CO-INFECTION MODEL WITH COVID-19 ASSOCIATED WITH DIABETES |
| title_short | ROLE OF VACCINATION ON THE CO-INFECTION MODEL WITH COVID-19 ASSOCIATED WITH DIABETES |
| title_sort | role of vaccination on the co infection model with covid 19 associated with diabetes |
| topic | covid-19 diabetes comorbidity co-infection vaccination |
| url | https://jmcms.s3.amazonaws.com/wp-content/uploads/2024/11/14133512/jmcms-2411004-Role-of-Vaccination-on-the-Co-infection-Model-AH-HB-1.pdf |
| work_keys_str_mv | AT mdabdulhye roleofvaccinationonthecoinfectionmodelwithcovid19associatedwithdiabetes AT mdhaideralibiswas roleofvaccinationonthecoinfectionmodelwithcovid19associatedwithdiabetes AT mohammedforhaduddin roleofvaccinationonthecoinfectionmodelwithcovid19associatedwithdiabetes |