Stochastic serotonin model with discontinuous drift

Marija Milošević

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 198, issue C, 359-374

Abstract: In this paper, motivated by the significance of serotonin in many areas of science, such as biology, neurology, psychiatry, among others, a mathematical serotonin model is proposed. This model incorporates deterministic as well as random influences on the serotonin dynamics. Because of that, the model is based on a system of stochastic differential equations with discontinuous drift coefficient. The main result of the paper is the existence and uniqueness of the solution of that system and due to the nature of the drift coefficient it requires nonstandard approach.

Keywords: Serotonin model; Stochastic differential equations; Discontinuous drift (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:198:y:2022:i:c:p:359-374

DOI: 10.1016/j.matcom.2022.03.001

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