A Metapopulation Model for Cholera with Variable Media Efficacy and
Imperfect Vaccine
- Phoebe Amadi,
- George Lawi,
- Job Bonyo
Abstract
In this paper, a metapopulation model has been developed and analysed to
describe the transmission dynamics of cholera between two communities
linked by migration, in the presence of imperfect vaccine and a varying
media awareness impact. Stability analysis show that the disease free
equilibrium is both locally and globally asymptotically stable when the
vaccine reproduction number is less than unity. The endemic equilibria
have also been shown to be locally asymptotically stable when the
vaccine reproduction number is greater than unity. The simulation
results show that with an imperfect vaccine and efficient media
awareness, cholera transmission is reduced. The transmission rates have
also been shown to be nonidentical in the two communities. It is
therefore advisable, that health practitioners embrace the use of both
vaccination and media awareness when designing and implementing
community specific cholera intervention strategies.