ArticleAdvances in difference equations2020
Bifurcation analysis of a SEIR epidemic system with governmental action and individual reaction.
Article in Advances in difference equations, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed.
- Seasonal synchronization and unpredictability in epidemic models with waning immunity and healthcare thresholds.Scientific reports · 2025Article
- Scenario analysis of COVID-19 transmission dynamics in Malaysia with the possibility of reinfection and limited medical resources scenarios.Computers in biology and medicine · 2021Article
- An SIR epidemic model for COVID-19 spread with fuzzy parameter: the case of Indonesia.Advances in difference equations · 2021Article
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2 authors.
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Abstract
In this paper, the dynamical behavior of a SEIR epidemic system that takes into account governmental action and individual reaction is investigated. The transmission rate takes into account the impact of governmental action modeled as a step function while the decreasing contacts among individuals responding to the severity of the pandemic is modeled as a decreasing exponential function. We show that the proposed model is capable of predicting Hopf bifurcation points for a wide range of physically realistic parameters for the COVID-19 disease. In this regard, the model predicts periodic behavior that emanates from one Hopf point. The model also predicts stable oscillations connecting two Hopf points. The effect of the different model parameters on the existence of such periodic behavior is numerically investigated. Useful diagrams are constructed that delineate the range of periodic behavior predicted by the model.
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