Optimal control for dengue transmission based on a model with reinfection and treatment
In: Mathematical population studies: an international journal of mathematical demography, Band 31, Heft 3, S. 165-203
ISSN: 1547-724X
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In: Mathematical population studies: an international journal of mathematical demography, Band 31, Heft 3, S. 165-203
ISSN: 1547-724X
In: Journal of public affairs, Band 22, Heft S1
ISSN: 1479-1854
In this study, we developed and analyzed a mathematical model for explaining the transmission dynamics of COVID‐19 in India. The proposed model is a modified version of the existing model. Our model divides the infected class of model into two classes: (unknown infected class) and (known infected class). In addition, we consider a recovered and reserved class, where susceptible people can hide them due to fear of the COVID‐19 infection. Furthermore, a non‐monotonic incidence function is deemed to incorporate the psychological effect of the novel coronavirus diseases on India's community. The epidemiological threshold parameter, namely the basic reproduction number, has been formulated and presented graphically. With this threshold parameter, the local and global stability analysis of the disease‐free equilibrium and the endemic proportion equilibrium based on disease persistence have been analyzed. Lastly, numerical results of long‐run prediction using MATLAB show that the fate of this situation is very harmful if people are not following the guidelines issued by the authority.