A time-delayed SVEIR model for imperfect vaccine with a generalized nonmonotone incidence and application to measles

Abstract

Highlights We propose an epidemic model of imperfect vaccination with a latent period a general nonmonotone incidence rate function. We study the threshold dynamics with respect to the effective reproduction number. We discuss the critical vaccination coverage rate that is required to eliminate the disease We apply the model to data on measles disease transmission and provide sensitivity analysis. The latent period shows a noticeable effect on system dynamics but not on the effective reproduction number.

There exists the “smartest” movement rate to control the epidemic rather than “city lockdown”

“…These factors complicate the study of epidemics, so one type of approach cannot solve these problems. Motivated by [45] , [46] , [47] , [48] , [49] the next related research should not use only one method of differential equation modeling, but a combination of various methods. Such as visualization and analysis of Spatio-temporal geographic data, cellular-automata method, gene sequencing techniques in biology, etc.…”

Analysis of Time-Delay Epidemic Model in Rechargeable Wireless Sensor Networks

“…Al-Darabsah, I. et al [21] SEIRS-V (Susceptible-Exposed-Infected-Recovered-Susceptible and Vaccinated) Time delay of the exposure 1…”

“…A time delay occurs in the migration behavior of different nodes in epidemic or rumor models. It is necessary to investigate the stability problem under time delay and Hopf bifurcation [12][13][14][15][16][17][18][19][20][21]. It is noted that time delay not only affects the convergence but also affects the control strategy in different models.…”

Mathematical analysis of pulse vaccination in controlling the dynamics of measles transmission

“…A number of mathematical models have been developed in the literature to gain insights into the transmission dynamics of measles in a community based on the conventional concept of continuous time immunization strategies (see, for instance ( Al-Darabsah, 2021 ; Azman et al., 2015 ; Berhea & Makinde, 2020 ; Flaig et al., 2019 ; Liu et al., 2008 ; Moghadas & Gumel, 2003 ; Rahman & Zou, 2015 ; Yang et al., 2010 ; Zhoua et al., 2019 ),). Flaig ( Flaig et al., 2019 ) proposed a SIR compartmental model to investigate individual anticipatory behavior that leads to a transient increase in measles prevalence before steady-state eradication causing non-negligible welfare transferring between generations.…”