Stability analysis of Swine flu epidemics model with awareness and fear

Document Type : Research Paper

Authors

Department of Mathematics, SOS, ITM University, Gwalior (M.P.), India

Abstract

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.

Keywords

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Volume 13, Issue 2
July 2022
Pages 2881-2895
  • Receive Date: 12 October 2021
  • Revise Date: 14 July 2022
  • Accept Date: 18 July 2022