Influence of incubation delays on COVID-19 transmission in diabetic and non-diabetic populations – an endemic prevalence case
The study of dynamics of diabetic population infected by COVID-19 is of pressing concern as people with diabetes are considered to be at higher risk of severe illness from COVID-19. A three-compartment mathematical model to describe the interactions of diabetic population and non-diabetic population...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-12-01
|
| Series: | Computational and Mathematical Biophysics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/cmb-2023-0115 |
| _version_ | 1797316693625667584 |
|---|---|
| author | Anand Monalisa Danumjaya Palla Rao Ponnada Raja Sekhara |
| author_facet | Anand Monalisa Danumjaya Palla Rao Ponnada Raja Sekhara |
| author_sort | Anand Monalisa |
| collection | DOAJ |
| description | The study of dynamics of diabetic population infected by COVID-19 is of pressing concern as people with diabetes are considered to be at higher risk of severe illness from COVID-19. A three-compartment mathematical model to describe the interactions of diabetic population and non-diabetic population both infected by COVID-19 with a susceptible population is considered. Time delays in incubation periods of COVID-19 in diabetic and non-diabetic populations are introduced. Besides the basic properties of such a dynamical system, both local and global stability of endemic equilibrium, are studied. The lengths of time delays are estimated for which the stability of the system is preserved locally, while sufficient conditions on system parameters are obtained for global stability. Numerical examples are provided to establish the theory, and simulations are provided to visualize the examples. It is noted that an increase in length of time delay in either of infected populations leads to oscillations in susceptible population but has no impact on infected populations. |
| first_indexed | 2024-03-08T03:22:05Z |
| format | Article |
| id | doaj.art-ef7eea29ba4844738f1ea45d28f658b8 |
| institution | Directory Open Access Journal |
| issn | 2544-7297 |
| language | English |
| last_indexed | 2024-03-08T03:22:05Z |
| publishDate | 2023-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Computational and Mathematical Biophysics |
| spelling | doaj.art-ef7eea29ba4844738f1ea45d28f658b82024-02-12T09:11:44ZengDe GruyterComputational and Mathematical Biophysics2544-72972023-12-0111134636910.1515/cmb-2023-0115Influence of incubation delays on COVID-19 transmission in diabetic and non-diabetic populations – an endemic prevalence caseAnand Monalisa0Danumjaya Palla1Rao Ponnada Raja Sekhara2Department of Mathematics, BITS-Pilani K.K. Birla Goa Campus, Goa-403726, IndiaDepartment of Mathematics, BITS-Pilani K.K. Birla Goa Campus, Goa-403726, IndiaDepartment of Mathematics, Govt. Polytechnic for Minorities, Guntur-522005, A.P., IndiaThe study of dynamics of diabetic population infected by COVID-19 is of pressing concern as people with diabetes are considered to be at higher risk of severe illness from COVID-19. A three-compartment mathematical model to describe the interactions of diabetic population and non-diabetic population both infected by COVID-19 with a susceptible population is considered. Time delays in incubation periods of COVID-19 in diabetic and non-diabetic populations are introduced. Besides the basic properties of such a dynamical system, both local and global stability of endemic equilibrium, are studied. The lengths of time delays are estimated for which the stability of the system is preserved locally, while sufficient conditions on system parameters are obtained for global stability. Numerical examples are provided to establish the theory, and simulations are provided to visualize the examples. It is noted that an increase in length of time delay in either of infected populations leads to oscillations in susceptible population but has no impact on infected populations.https://doi.org/10.1515/cmb-2023-0115covid-19diabetesdelay differential equationequilibriastability analysisnumerical experiments92c4293c4392d25 |
| spellingShingle | Anand Monalisa Danumjaya Palla Rao Ponnada Raja Sekhara Influence of incubation delays on COVID-19 transmission in diabetic and non-diabetic populations – an endemic prevalence case Computational and Mathematical Biophysics covid-19 diabetes delay differential equation equilibria stability analysis numerical experiments 92c42 93c43 92d25 |
| title | Influence of incubation delays on COVID-19 transmission in diabetic and non-diabetic populations – an endemic prevalence case |
| title_full | Influence of incubation delays on COVID-19 transmission in diabetic and non-diabetic populations – an endemic prevalence case |
| title_fullStr | Influence of incubation delays on COVID-19 transmission in diabetic and non-diabetic populations – an endemic prevalence case |
| title_full_unstemmed | Influence of incubation delays on COVID-19 transmission in diabetic and non-diabetic populations – an endemic prevalence case |
| title_short | Influence of incubation delays on COVID-19 transmission in diabetic and non-diabetic populations – an endemic prevalence case |
| title_sort | influence of incubation delays on covid 19 transmission in diabetic and non diabetic populations an endemic prevalence case |
| topic | covid-19 diabetes delay differential equation equilibria stability analysis numerical experiments 92c42 93c43 92d25 |
| url | https://doi.org/10.1515/cmb-2023-0115 |
| work_keys_str_mv | AT anandmonalisa influenceofincubationdelaysoncovid19transmissionindiabeticandnondiabeticpopulationsanendemicprevalencecase AT danumjayapalla influenceofincubationdelaysoncovid19transmissionindiabeticandnondiabeticpopulationsanendemicprevalencecase AT raoponnadarajasekhara influenceofincubationdelaysoncovid19transmissionindiabeticandnondiabeticpopulationsanendemicprevalencecase |