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• W4378473485 abstract "In this article, a fuzzy mathematical model of infectious disease has been constructed. Here, total human population have been divided into three subclasses such as unaware susceptible human, aware susceptible human and infective human. It is considered that a part of unaware susceptible human may become aware susceptible human due to awareness program. It is also considered that a part of unaware susceptible human and aware susceptible human may become infective. It is assumed that an aware susceptible human again may become unaware susceptible human. It is also assumed that a fraction of recovered people may become conscious and enter the aware susceptible class, while the remaining may become unaware susceptible. It is considered that the implementation of the awareness programs is proportional to the number of disease induced deaths. The boundedness of solution of the proposed fuzzy model has been investigated. The possible equilibrium points of the fuzzy model are evaluated. Then the local stability of the fuzzy model around these equilibrium points have been investigated. Existence of Hopf bifurcation of the model have been studied with respect to α of the awareness program k. Also, the sensitivity analysis on the basic reproduction number with respect to awareness program parameter have been studied. It is found that awareness program may plays an important role to control the infectious disease. It is also observed that the solution of the model is highly affected by the uncertain or fuzzy values of the parameters. Finally some numerical simulation results are presented to support the findings." @default.
• W4378473485 created "2023-05-27" @default.
• W4378473485 creator A5009495575 @default.
• W4378473485 date "2023-06-01" @default.
• W4378473485 modified "2023-10-04" @default.
• W4378473485 title "Study of effectiveness of awareness program to control fuzzy infectious disease model" @default.
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• W4378473485 doi "https://doi.org/10.1016/j.fraope.2023.100022" @default.
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