Annals of Mathematical Modeling
Vol 2, No 2 (2020)

Mathematical analysis of SLIPR infectious model without vaccination: A case study of measles outbreaks

Fuaada Mohd Siam (Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia)
Hanis Nasir (Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu)



Article Info

Publish Date
11 Nov 2020

Abstract

A five-compartment epidemiological model is analyzed to illustrate the dynamics of infectious diseases. In this model, the population is compartmented into susceptible, latent, infected, post-infection, and recovered. The model is a system of ordinary differential equations, where the stability is analyzed using Routh’s stability criterion. Two equilibrium points; disease-free and endemic equilibrium are stable but depends on the basic reproduction number. Derivation of the basic reproduction number is given using the next-generation method. This study ended by providing a case study of measles outbreaks before the effective implementation of the vaccine. The analysis of data fitting is done by using the Simulated Annealing minimization routine and the error value is 0.0406.

Copyrights © 2020






Journal Info

Abbrev

AMM

Publisher

Subject

Computer Science & IT Mathematics

Description

nnals of Mathematical Modeling integrates authoritative reports on current mathematical, articles cover a wide range of topics, including mathematical analyses, probability, statistics, cybernetics, algebra, geometry, mathematical physics, wave propagation, stochastic processes, boundary value ...