Impact of time delays on stochastic resonance in an ecological system describing vegetation

• DOI: 10.1016/j.physa.2014.04.015
• Publication Date: 2014-04-21T16:32:37Z
• Authors: Qinglin Han; Tao Yang; Chunhua Zeng; Hua Wang; Zhiqiang Liu; Yunchang Fu; Chun Zhang; Dong Tian
• Keywords: Stochastic Resonance; SIGNAL (programming language)

Abstract In this paper, we investigate the stochastic resonance phenomenon in a vegetation ecological system with time delay, at which the vegetation dynamics is assumed to be disturbed by both intrinsic and extrinsic noises. The signal-to-noise ratio is calculated when a weak periodic signal is added to the system. The impacts of time delay τ and correlation strength k between two noises on the signal-to-noise ratio are discussed, respectively. Our research results show that: (i) the increase of τ or k can enhance the stochastic resonance in the signal-to-noise ratio as a function of intrinsic noise strength α ; (ii) on the contrary, the increase of τ or k can weaken the stochastic resonance in the signal-to-noise ratio as a function of extrinsic noise strength D ; and (iii) the increase of τ can lead to double stochastic resonance phenomenon in the signal-to-noise ratio as a function of k .