Comorbidities have an influence on progression of infectious disease suffered by the patients. In this paper, we construct and analyze the SIR epidemic model by considering comorbidities in infected patients to characterize the infectious disease progression with comorbidities intervention as a consideration in determining the appropriate treatment. By determining the formula of the basic reproduction number, the conditions which represent stability of the disease-free equilibrium point and the disease equilibrium point are identified. Furthermore, the sufficient and necessary condition for local and global stability of disease-free equilibrium points and local stability of both non-comorbidities and comorbidities endemic equilibrium points are investigated. Theoretical findings of this research are supported by performing numerical simulations as an illustration of the dynamics which occur on the model solution.
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