TY  - JOUR
T1  - Analyzing a Mathematical Model of the COVID-19 Pandemic with the Impact Symptomatic and Asymptomatic Transmissions
TT  - Semptomatik ve Asemptomatik Bulaşmaların Etkisi ile COVID-19 Salgınının Matematiksel Modelinin Analizi
AU  - Ak Gümüş, Özlem
PY  - 2024
DA  - December
Y2  - 2024
DO  - 10.47112/neufmbd.2024.64
JF  - Necmettin Erbakan Üniversitesi Fen ve Mühendislik Bilimleri Dergisi
JO  - NEU Fen Muh Bil Der
PB  - Necmettin Erbakan University
WT  - DergiPark
SN  - 2667-7989
SP  - 543
EP  - 556
VL  - 6
IS  - 3
LA  - en
AB  - This study addresses the stability and flip bifurcation of a discrete-time SIR model expressing the COVID-19 pandemic. The model considers the effect of the vaccine, asymptomatic individuals, as well as symptomatic individuals in the transmission of the disease. Equilibrium solutions are obtained under certain parametric conditions. Then, the local stabilities of these equilibrium solutions are investigated. The existence of bifurcation is determined for the positive interior equilibrium solution.
KW  - COVID-19 Pandemic Model
KW  - Flip Bifurcation
KW  - Local Asymptotic Stability
KW  - SIR Model
N2  - Bu çalışma, COVID-19 salgın sürecini ifade eden ayrık zamanlı bir SIR modelinin kararlılığını ve flip çatallanmasını ele almaktadır. Aşının etkisini dikkate alan model, hastalığın bulaşmasında semptomatik bireylerin yanı sıra asemptomatik bireylerin de etkisini içerir. Denge çözümleri belirli parametrik koşullar altında elde edilir. Daha sonra bu denge çözümlerinin lokal kararlılıkları araştırılır. Pozitif iç denge çözümü için çatallanmanın varlığı belirlenir.
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UR  - https://doi.org/10.47112/neufmbd.2024.64
L1  - https://dergipark.org.tr/en/download/article-file/3918948
ER  -