Analysis of a COVID-19 model with media coverage and limited resources

Tao Chen; Zhiming Li; Ge Zhang; Tao Chen; Zhiming Li; Ge Zhang

doi:10.3934/mbe.2024233

Mathematical Biosciences and Engineering

2024, Volume 21, Issue 4: 5283-5307. doi: 10.3934/mbe.2024233

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Research article

Analysis of a COVID-19 model with media coverage and limited resources

College of Mathematics and System Science, Xinjiang University, Urumqi 830017, China

Academic Editor: Libin Rong

Received: 12 December 2023 Revised: 20 February 2024 Accepted: 29 February 2024 Published: 06 March 2024

The novel coronavirus disease (COVID-19) pandemic has profoundly impacted the global economy and human health. The paper mainly proposed an improved susceptible-exposed-infected-recovered (SEIR) epidemic model with media coverage and limited medical resources to investigate the spread of COVID-19. We proved the positivity and boundedness of the solution. The existence and local asymptotically stability of equilibria were studied and a sufficient criterion was established for backward bifurcation. Further, we applied the proposed model to study the trend of COVID-19 in Shanghai, China, from March to April 2022. The results showed sensitivity analysis, bifurcation, and the effects of critical parameters in the COVID-19 model.
- SEIR epidemic model,
- limited medical resources,
- media coverage,
- vaccination,
- backward bifurcation
Citation: Tao Chen, Zhiming Li, Ge Zhang. Analysis of a COVID-19 model with media coverage and limited resources[J]. Mathematical Biosciences and Engineering, 2024, 21(4): 5283-5307. doi: 10.3934/mbe.2024233

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Abstract

The novel coronavirus disease (COVID-19) pandemic has profoundly impacted the global economy and human health. The paper mainly proposed an improved susceptible-exposed-infected-recovered (SEIR) epidemic model with media coverage and limited medical resources to investigate the spread of COVID-19. We proved the positivity and boundedness of the solution. The existence and local asymptotically stability of equilibria were studied and a sufficient criterion was established for backward bifurcation. Further, we applied the proposed model to study the trend of COVID-19 in Shanghai, China, from March to April 2022. The results showed sensitivity analysis, bifurcation, and the effects of critical parameters in the COVID-19 model.

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