Stability analysis of Swine flu epidemics model with awareness and fear | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 231، دوره 13، شماره 2، مهر 2022، صفحه 2881-2895 اصل مقاله (572.86 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.24852.2840 | ||
| نویسندگان | ||
| Hema Purushwani* ؛ Chanda Purushwani | ||
| Department of Mathematics, SOS, ITM University, Gwalior (M.P.), India | ||
| چکیده | ||
| Many awareness programmes are suggested by health care agencies to reduce the adverse effects of swine flu infection on society. These awareness programmes help to create fear for behavioural changes, which may control the spread of various diseases. Several mathematical models have been studied by many researchers earlier. In this manuscript, we suggest an SEIR mathematical model see the impact of awareness and fear on swine flu infection. The bounded region has been carried out in which, disease-free equilibrium point and endemic equilibrium point exist. The basic reproduction number has been evaluated to determine the local and global stability conditions around equilibrium points. Sensitivity analysis of the basic reproduction number is done to find out the dominant parameters that have a significant impact on infection level. Moreover, suitable graphs are obtained and it is found that awareness is more effective than fear to reduce the risk of swine flu infection. | ||
| کلیدواژهها | ||
| Swine flu infection؛ Awareness and fear؛ Equilibrium Points؛ Basic Reproduction Number and Sensitivity analysis؛ Stability analysis | ||
| مراجع | ||
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