2022
DOI: 10.1002/mma.8900
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Bifurcation analysis of a respiratory disease model about air pollution direct and indirect effects

Abstract: In this paper, a class of respiratory disease model is established by taking into account simultaneously two situations that susceptible individuals directly got sick by inhaling air pollutants and indirectly fallen ill from infection by patients with respiratory diseases. The sufficient conditions for equilibria existence of the system and locally asymptotically stability of endemic equilibria are obtained. The existence of saddle‐node bifurcation is derived by using the Sotomayor theorem. The stability of pe… Show more

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Cited by 2 publications
(2 citation statements)
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“…Goldenbogen et al (2022) [ 12 ] underscored the necessity for adaptive interventions, considering community dynamics and vaccination strategies. Extending this analysis, Shi, Qi, and Ding (2023) [ 13 ] delved into the impact of air pollution on both direct and indirect disease transmission modes. COVID-19-specific research has demonstrated diverse perspectives.…”
Section: Literature Reviewmentioning
confidence: 99%
See 1 more Smart Citation
“…Goldenbogen et al (2022) [ 12 ] underscored the necessity for adaptive interventions, considering community dynamics and vaccination strategies. Extending this analysis, Shi, Qi, and Ding (2023) [ 13 ] delved into the impact of air pollution on both direct and indirect disease transmission modes. COVID-19-specific research has demonstrated diverse perspectives.…”
Section: Literature Reviewmentioning
confidence: 99%
“…According to equations (5) , (9) , (10) , is defined as Equations [ 11 , 12 ] Asymptomatically infected individuals: Let are two Liu process, , , are nonnegative numbers, is the removed (death) rate of asymptomatically infected individuals, and is the removed (recovered) rate of asymptomatically infected individuals. Then and are defined as Equations [ 13 , 14 ] …”
Section: The Proposed Modelmentioning
confidence: 99%