Abstract
This is an epidemiological SIRV model based study that is de-
signed to analyze the impact of vaccination in containing infection spread, in
a 4-tiered population compartment comprised of susceptible, infected, recov-
ered and vaccinated agents. While many models assume a lifelong protection
through vaccination, we focus on the impact of waning immunization due to
conversion of vaccinated and recovered agents back to susceptible ones. Two
asymptotic states exist, the \disease-free equilibrium" and the \endemic equi-
librium" and we express the transitions between these states as function of the
vaccination and conversion rates and using the basic reproduction number. We
nd that the vaccination of newborns and adults have dierent consequences
on controlling an epidemic. Also, a decaying disease protection within the re-
covered sub-population is not sucient to trigger an epidemic on the linear
level. We perform simulations for a parameter set modelling a disease with
waning immunization like pertussis. For a diusively coupled population, a
transition to the endemic state can proceed via the propagation of a traveling
infection wave, described successfully within a Fisher-Kolmogorov framework.
signed to analyze the impact of vaccination in containing infection spread, in
a 4-tiered population compartment comprised of susceptible, infected, recov-
ered and vaccinated agents. While many models assume a lifelong protection
through vaccination, we focus on the impact of waning immunization due to
conversion of vaccinated and recovered agents back to susceptible ones. Two
asymptotic states exist, the \disease-free equilibrium" and the \endemic equi-
librium" and we express the transitions between these states as function of the
vaccination and conversion rates and using the basic reproduction number. We
nd that the vaccination of newborns and adults have dierent consequences
on controlling an epidemic. Also, a decaying disease protection within the re-
covered sub-population is not sucient to trigger an epidemic on the linear
level. We perform simulations for a parameter set modelling a disease with
waning immunization like pertussis. For a diusively coupled population, a
transition to the endemic state can proceed via the propagation of a traveling
infection wave, described successfully within a Fisher-Kolmogorov framework.
| Original language | English |
|---|---|
| Article number | 267 |
| Journal | European Physical Journal B: Condensed Matter and Complex Systems |
| Volume | 91 |
| DOIs | |
| Publication status | Published - 1 Nov 2018 |