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arXiv · 2203.08531

Random periodic solutions of nonautonomous stochastic feedback systems with multiplicative noise

Zhao Dong·Weili Zhang·Zuohuan Zheng
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Abstract

We investigate the dynamical behavior of pull-back trajectories for nonautonomous stochastic feedback systems with multiplicative noise. We proved that there exists a random periodic solution of this system and all pull-back trajectories converge to this random periodic solution as time goes to infinitely almost surely. Our results can be applied to nonautonomous stochastic Goodwin negative feedback system, nonautonomous stochastic Othmer-Tyson positive feedback system and nonautonomous stochastic competitive systems etc.

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Zhao Dong, Weili Zhang, Zuohuan Zheng. 2022-03-16. Random periodic solutions of nonautonomous stochastic feedback systems with multiplicative noise. https://arxiv.org/abs/2203.08531

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