A stochastic model for Malaria & its behavior under insecticide-treated
AbstractStochastic model for Malaria transmission is introduced, and its
behavior under insecticide- treated nets, which is used as a prevention,
is considered. A white noise is introduced into the model, representing
fluctuations in the environment that manifest them-selves naturally on
the transmission coefficient rate. Existence and uniqueness of a global
positive solution of the stochastic model is proved, and conditions
under which extinction and persistence in mean hold are establish.
Numerical simulations are provided which illustrate the theoretical
results and conclusions are derived on the impact of the fluctuations
which are caused by the environment.