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

Qinglin Han, Tao Yang, Chunhua Zeng, Hua Wang, Zhiqiang Liu, Yunchang Fu, Chun Zhang and Dong Tian

Physica A: Statistical Mechanics and its Applications, 2014, vol. 408, issue C, 96-105

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.

Keywords: Intrinsic noise; Extrinsic noise; Time delay; Vegetation model; Stochastic resonance (search for similar items in EconPapers)
Date: 2014
References: View complete reference list from CitEc
Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:408:y:2014:i:c:p:96-105

DOI: 10.1016/j.physa.2014.04.015

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