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Published on: November 10, 2023
Dynamics of COVID-19 transmission with comorbidity: a data driven modelling based approach
Parthasakha Das1, Sk Shahid Nadim2, Samhita Das1
1Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103 India.
Insights
This study models COVID-19 transmission dynamics in individuals with comorbidity. Findings reveal backward bifurcation, indicating increased infection risk for susceptible populations with comorbidities.
Area of Science:
- Epidemiology
- Mathematical Biology
- Public Health
Background:
- The COVID-19 pandemic poses significant challenges, particularly for individuals with comorbidities.
- Comorbidity is known to exacerbate COVID-19 complications and increase risk factors.
Purpose of the Study:
- To develop and analyze a mathematical framework for understanding COVID-19 transmission dynamics in populations with comorbidities.
- To calibrate the model using daily confirmed COVID-19 cases in India and investigate its qualitative properties.
Main Methods:
- Development of a mathematical transmission model incorporating comorbidity.
- Calibration of the model with real-world data on daily confirmed COVID-19 cases in India.
- Analysis of model stability, equilibrium points, and bifurcation scenarios.
Main Results:
- The model demonstrates a backward bifurcation, suggesting heightened susceptibility to infection among individuals with comorbidities.
- Asymptotic stability of the endemic equilibrium is observed when comorbidity recruitment outpaces infection acquisition.
- A larger backward bifurcation regime correlates with increased infection prevalence in susceptible individuals.
Conclusions:
- Comorbidity significantly influences COVID-19 transmission dynamics, potentially increasing infection risk.
- Mathematical modeling provides valuable insights into disease spread and stability under varying comorbidity levels.
- A correlation between the force of infection and Shannon entropy suggests widespread infection among susceptible groups.
Abstract:
An outbreak of the COVID-19 pandemic is a major public health disease as well as a challenging task to people with comorbidity worldwide. According to a report, comorbidity enhances the risk factors with complications of COVID-19. Here, we propose and explore a mathematical framework to study the transmission dynamics of COVID-19 with comorbidity. Within this framework, the model is calibrated by using new daily confirmed COVID-19 cases in India. The qualitative properties of the model and the stability of feasible equilibrium are studied. The model experiences the scenario of backward bifurcation by parameter regime accounting for progress in susceptibility to acquire infection by comorbidity individuals. The endemic equilibrium is asymptotically stable if recruitment of comorbidity becomes higher without acquiring the infection. Moreover, a larger backward bifurcation regime indicates the possibility of more infection in susceptible individuals. A dynamics in the mean fluctuation of the force of infection is investigated with different parameter regimes. A significant correlation is established between the force of infection and corresponding Shannon entropy under the same parameters, which provides evidence that infection reaches a significant proportion of the susceptible.
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