Using mathematical model to illustrate the spread of malaria
Abstract
We present an ordinary differential equation mathematical model for
the spread of malaria in human and Mosquito populations.Susceptible
humans can be infected when they are bitten by an infectious Mosquito.They
then progress through the infectious and asymptomatic classes, before
re-entering the susceptible class.Susceptible Mosquitoes can become
infected when they bite infectious and asymptomatic humans, and
once infected they move through infectious class. The basic reproduction
number is established and used to determine whether the
disease dies out or persists in the population. We show that given
R0
≤ 1, the disease-free equilibrium is globally asymptotically stable
and the disease always dies out and ifR0> 1, there exists a unique
endemic equilibrium which is globally stable and the disease persists.
Citation
Master of Science in Social StatisticsPublisher
University of Nairobi