A deterministic model of measles with imperfect vaccination and quarantine intervention

Dipo Aldila, Dinda Asrianti

Research output: Contribution to journalConference articleResearchpeer-review

Abstract

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.

Original languageEnglish
Article number012044
JournalJournal of Physics: Conference Series
Volume1218
Issue number1
DOIs
Publication statusPublished - 31 May 2019
Event3rd International Conference on Mathematics; Pure, Applied and Computation, ICoMPAC 2018 - Surabaya, Indonesia
Duration: 20 Oct 2018 → …

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infectious diseases
simulation
sensitivity
matrices

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title = "A deterministic model of measles with imperfect vaccination and quarantine intervention",
abstract = "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.",
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A deterministic model of measles with imperfect vaccination and quarantine intervention. / Aldila, Dipo; Asrianti, Dinda.

In: Journal of Physics: Conference Series, Vol. 1218, No. 1, 012044, 31.05.2019.

Research output: Contribution to journalConference articleResearchpeer-review

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AU - Asrianti, Dinda

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