English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We construct an SIR-type model for COVID-19, incorporating as a parameter thesusceptible individuals' cautiousness level. We determine the model's basicreproduction number, study the stability of the equilibria analytically, andperform a sensitivity analysis to confirm the significance of the cautiousnesslevel. Fixing specific values for all other parameters, we study numericallythe model's dynamics as the cautiousness level varies, revealing backwardtranscritical, Hopf, and saddle-node bifurcations of equilibria, as well ashomoclinic and fold bifurcations of limit cycles with the aid of AUTO.Considering some key events affecting the pandemic in Indonesia, we design ascenario in which the cautiousness level varies over time, and show that themodel exhibits a hysteresis, whereby, a slight cautiousness decrease couldbring a disease-free state to endemic, and this is reversible only by a drasticcautiousness increase, thereby mathematically justifying the importance of ahigh cautiousness level for resolving the pandemic.

Mathematical Analysis of an Epidemic Model for COVID-19: How Important Is the People's Cautiousness Level for Eradication?