An Infectious Disease Model With Media Coverage and Limited Medical Resources

LIU Dan; WANG Yan; REN Xinzhi; LIU Xianning

doi:10.21656/1000-0887.430160

Volume 44 Issue 3

Mar. 2023

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LIU Dan, WANG Yan, REN Xinzhi, LIU Xianning. An Infectious Disease Model With Media Coverage and Limited Medical Resources[J]. Applied Mathematics and Mechanics, 2023, 44(3): 333-344. doi: 10.21656/1000-0887.430160

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An Infectious Disease Model With Media Coverage and Limited Medical Resources

doi: 10.21656/1000-0887.430160

School of Mathematics and Statistics, Southwest University, Chongqing 400715, P.R.China

Received Date: 2022-05-10
Rev Recd Date: 2022-06-06

Available Online: 2023-03-11

Publish Date: 2023-03-15

Abstract

Abstract

A dynamical model for infectious disease with media coverage effects and limited medical resources was established and analyzed. The basic reproduction number of the disease was defined, the existence and stability of the equilibria were analyzed, and the conditions for the forward bifurcation, the backward bifurcation and the Hopf bifurcation to occur in the system were given. Numerical simulation results show that, increasing the media coverage rate or the maximum hospital capacity can significantly reduce the number of infections at the peak or in the steady state of the epidemic. With the variations of parameters, the system will exhibit dynamic behaviors including not only the backward bifurcation or the forward bifurcation, but also the saddle node bifurcation, the Hopf bifurcation, or the change of the endemic equilibrium point stability with parameters.
- limited medical resources,
- media coverage,
- backward bifurcation,
- Lyapunov stability

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References(19)

References

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