Asymptotic Properties of One Mathematical Model in Food Engineering under Stochastic Perturbations

Leonid Shaikhet
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Leonid Shaikhet: Department of Mathematics, Ariel University, Ariel 40700, Israel

Mathematics, 2021, vol. 9, issue 23, 1-8

Abstract: For the example of one nonlinear mathematical model in food engineering with several equilibria and stochastic perturbations, a simple criterion for determining a stable or unstable equilibrium is reported. The obtained analytical results are illustrated by detailed numerical simulations of solutions of the considered Ito stochastic differential equations. The proposed criterion can be used for a wide class of nonlinear mathematical models in different applications.

Keywords: equilibria; Wiener process; Ito’s stochastic differential equation; stabilization by noise; asymptotic mean square stability; stability in probability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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