TY - JOUR
T1 - A deterministic model of measles with imperfect vaccination and quarantine intervention
AU - Aldila, Dipo
AU - Asrianti, Dinda
N1 - Funding Information:
We thank to all reviewers for their valuable suggestion and comments. This research was financially supported by the Indonesia Ministry of Research and Higher Education (Kemenristek DIKTI), with PUPT research grant scheme 2018.
Publisher Copyright:
© Published under licence by IOP Publishing Ltd.
PY - 2019/5/31
Y1 - 2019/5/31
N2 - A modified SVIQR (Susceptible-Vaccinated-Infected-Quarantine-Recovered) deterministic model for measles infection will be discussed in this article. An intervention of two times vaccination (one of them is imperfect to protect measles infection) is implemented along with the quarantine intervention in a purpose to controlling the spread of measles among human population. A measles-free and measles endemic equilibrium, for a complete and a simplified model, established analytically. A basic-reproduction number (R 0) as the endemic indicator is performed using the next-generation matrix approach. We find that the disease-free equilibrium is locally stable if R 0 < 1 and the endemic equilibrium of measles is achieved when R 0 > 1. Some numerical simulation regarding the sensitivities of R 0 and simulation for the autonomous model is given to give a better interpretation for the analytical results.
AB - A modified SVIQR (Susceptible-Vaccinated-Infected-Quarantine-Recovered) deterministic model for measles infection will be discussed in this article. An intervention of two times vaccination (one of them is imperfect to protect measles infection) is implemented along with the quarantine intervention in a purpose to controlling the spread of measles among human population. A measles-free and measles endemic equilibrium, for a complete and a simplified model, established analytically. A basic-reproduction number (R 0) as the endemic indicator is performed using the next-generation matrix approach. We find that the disease-free equilibrium is locally stable if R 0 < 1 and the endemic equilibrium of measles is achieved when R 0 > 1. Some numerical simulation regarding the sensitivities of R 0 and simulation for the autonomous model is given to give a better interpretation for the analytical results.
UR - http://www.scopus.com/inward/record.url?scp=85067809625&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/1218/1/012044
DO - 10.1088/1742-6596/1218/1/012044
M3 - Conference article
AN - SCOPUS:85067809625
SN - 1742-6588
VL - 1218
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
IS - 1
M1 - 012044
T2 - 3rd International Conference on Mathematics; Pure, Applied and Computation, ICoMPAC 2018
Y2 - 20 October 2018
ER -
