TY - CHAP
T1 - On a Novel SVEIRS Markov chain epidemic model with multiple discrete delays and infection rates
T2 - modeling and sensitivity analysis to determine vaccination effects
AU - Wanduku, Divine
AU - Jegede, Omotomilola
AU - Rahul, Chinmoy
AU - Oluyede, Broderick
AU - Farotimi, Oluwaseun
N1 - Publisher Copyright:
© 2023 Elsevier Inc. All rights reserved.
PY - 2023/1/1
Y1 - 2023/1/1
N2 - A novel discrete time general Markov chain SVEIRS (Susceptible-Vaccinated-Exposed-Infected-Recovered-Susceptible) epidemic model is derived and studied. The model incorporates finite delay times for disease incubation, natural immunity, artificial immunity, and the period of infectiousness of infected individuals. The novel platform for representing different states of the disease in the population utilizes two discrete time measures for the current time of a person's state and also how long a person has been in the current state. Two submodels are derived based on whether the drive to get vaccinated is inspired by close contacts with infectious individuals or otherwise. Sensitivity analysis is conducted on the two submodels to determine how vaccination affects disease eradication.
AB - A novel discrete time general Markov chain SVEIRS (Susceptible-Vaccinated-Exposed-Infected-Recovered-Susceptible) epidemic model is derived and studied. The model incorporates finite delay times for disease incubation, natural immunity, artificial immunity, and the period of infectiousness of infected individuals. The novel platform for representing different states of the disease in the population utilizes two discrete time measures for the current time of a person's state and also how long a person has been in the current state. Two submodels are derived based on whether the drive to get vaccinated is inspired by close contacts with infectious individuals or otherwise. Sensitivity analysis is conducted on the two submodels to determine how vaccination affects disease eradication.
KW - Chain-binomial models
KW - Correlated vaccination-infection rates
KW - Discrete time delays
KW - Markov chains
KW - SVEIRS epidemic model
KW - Vaccination impacts
UR - http://www.scopus.com/inward/record.url?scp=85151625420&partnerID=8YFLogxK
U2 - 10.1016/B978-0-32-399557-3.00009-0
DO - 10.1016/B978-0-32-399557-3.00009-0
M3 - Chapter
AN - SCOPUS:85151625420
SN - 9780323995580
T3 - Advances in Epidemiological Modeling and Control of Viruses
SP - 95
EP - 143
BT - Advances in Epidemiological Modeling and Control of Viruses
PB - Elsevier
ER -
