Effect of Quarantine Strategies in a Compartmental Model with Asymptomatic Groups

@article{54442,
   author = {Chladná, Zuzana and Kopfová, Jana and Rachinskii, Dmitrii and Štěpánek, Pavel},
   article_location = {New York (USA)},
   article_number = {Suppl 1},
   doi = {http://dx.doi.org/10.1007/s10884-021-10059-5},
   keywords = {Epidemic model dynamics; Asymptomatic individuals; Quarantining; Testing rate},
   language = {eng},
   issn = {1040-7294},
   journal = {Journal of Dynamics and Differential Equations},
   title = {Effect of Quarantine Strategies in a Compartmental Model with Asymptomatic Groups},
   url = {https://link.springer.com/article/10.1007/s10884-021-10059-5},
   volume = {36},
   year = {2024}
}

TY  - JOUR
ID  - 54442
AU  - Chladná, Zuzana - Kopfová, Jana - Rachinskii, Dmitrii - Štěpánek, Pavel
PY  - 2024
TI  - Effect of Quarantine Strategies in a Compartmental Model with Asymptomatic Groups
JF  - Journal of Dynamics and Differential Equations
VL  - 36
IS  - Suppl 1
SP  - 199-222
EP  - 199-222
PB  - Springer
SN  - 10407294
KW  - Epidemic model dynamics
KW  - Asymptomatic individuals
KW  - Quarantining
KW  - Testing rate
UR  - https://link.springer.com/article/10.1007/s10884-021-10059-5
N2  - We present an epidemiological model, which extend the classical SEIR model by accounting for the presence of asymptomatic individuals and the effect of isolation of infected individuals based on testing. Moreover, we introduce two types of home quarantine, namely gradual and abrupt one. We compute the equilibria of the new model and derive its reproduction number. Using numerical simulations we analyze the effect of quarantine and testing on the epidemic dynamic. Given a constraint that limits the maximal number of simultaneous active cases, we demonstrate that the isolation rate, which enforces this constraint, decreases with the increasing testing rate. Our simulations show that massive testing allows to control the infection spread using a much lower isolation rate than in the case of indiscriminate quarantining. Finally, based on the effective reproduction number we suggest a strategy to manage the epidemic. It consists in introducing abrupt quarantine as well as relaxing the quarantine in such a way that the epidemic remains under control and further waves do not occur. We analyze the sensitivity of the model dynamic to the quarantine size, timing and strength of the restrictions.
ER  - 

CHLADNÁ, Zuzana, Jana KOPFOVÁ, Dmitrii RACHINSKII a Pavel ŠTĚPÁNEK. Effect of Quarantine Strategies in a Compartmental Model with Asymptomatic Groups. \textit{Journal of Dynamics and Differential Equations}. New York (USA): Springer, roč.~36, Suppl 1, s.~199-222. ISSN~1040-7294. doi:10.1007/s10884-021-10059-5. 2024.