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A stochastic model for Malaria & its behavior under insecticide-treated nets
  • Jasmina Dordevic
Jasmina Dordevic
University of Oslo

Corresponding Author:[email protected]

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Abstract

Stochastic 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.