TY - JOUR
T1 - Mathematical analysis of an epidemic model with direct and indirect transmission modes and two delays
AU - Najm, Fatiha
AU - Yafia, Radouane
AU - Alaoui, My Ahmed Aziz
AU - Tridane, Abdessamad
AU - Boukrim, Lahcen
N1 - Publisher Copyright:
© 2023 the author(s), published by De Gruyter.
PY - 2023/1/1
Y1 - 2023/1/1
N2 - In this article, we consider an epidemiological model in which we take into account the effects of direct and indirect transmissions. The first mode occurs through direct contact between infectious and susceptible individuals, and the second one will take place through the shedding of virus particles by infectious individuals and their acquisition by susceptible ones. We also study the effect of latency period and time needed for a susceptible person to become infected by indirect transmission mode. By considering the direct and indirect basic reproduction numbers, we define the basic reproduction number R 0 {R}_{0} of the model, which helps us to analyze the stability of equilibria and bifurcation and determine the most sensitive parameters. In conclusion, some numerical simulations are given to confirm the analytical analysis.
AB - In this article, we consider an epidemiological model in which we take into account the effects of direct and indirect transmissions. The first mode occurs through direct contact between infectious and susceptible individuals, and the second one will take place through the shedding of virus particles by infectious individuals and their acquisition by susceptible ones. We also study the effect of latency period and time needed for a susceptible person to become infected by indirect transmission mode. By considering the direct and indirect basic reproduction numbers, we define the basic reproduction number R 0 {R}_{0} of the model, which helps us to analyze the stability of equilibria and bifurcation and determine the most sensitive parameters. In conclusion, some numerical simulations are given to confirm the analytical analysis.
KW - bifurcation
KW - delay differential equation
KW - epidemic model
KW - latency period
KW - sensitivity
UR - http://www.scopus.com/inward/record.url?scp=85177198421&partnerID=8YFLogxK
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U2 - 10.1515/msds-2023-0103
DO - 10.1515/msds-2023-0103
M3 - Article
AN - SCOPUS:85177198421
SN - 2353-0626
VL - 10
JO - Nonautonomous Dynamical Systems
JF - Nonautonomous Dynamical Systems
IS - 1
M1 - 20230103
ER -