Stochastic and random models of Malaria Disease with vertical transmission

Year 2017, Volume: 5 Issue: 1, 269 - 277, 01.01.2017

Zafer Bekiryazici Tulay Kesemen Mehmet Merdan

Abstract

Malaria is an infectious disease which affects both
humans and animals. In this study, the existing mathematical model of malaria
disease with vertical transmission is analyzed in random enviroment. Random
effect terms are added to the parameters of the deterministic model to form a
system of random differential equations. Similarly, stochastic noise is added
to the deterministic system to obtain a stochastic model. Finally, the results
from the deterministic, random and stochastic model are compared to comment on
the random behavior of the disease.

Keywords

Malaria, stochastic differential equation, random differential equation, Milstein method

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