Stochastic resonance for a metapopulation system driven by multiplicative and additive colored noises |
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| Authors: | Wang Kang-Kang Liu Xian-Bin |
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| Affiliation: | a State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;b School of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang 212003, China |
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| Abstract: | We investigate the stochastic resonance (SR) phenomenon induced by the periodic signal in a metapopulation system with colored noises. The analytical expression of signal-to-noise is derived in the adiabatic limit. By numerical calculation, the effects of the addictive noise intensity, the multiplicative noise intensity and two noise self-correlation times on SNR are respectively discussed. It shows that: (i) in the case that the addictive noise intensity M takes a small value, a SR phenomenon for the curve of SNR appears; however, when M takes a large value, SNR turns into a monotonic function on the multiplicative noise intensity Q. (ii) The resonance peaks in the plots of the multiplicative noise intensity Q versus its self-correlation time τ1 and the addictive noise intensity M versus its self-correlation time τ2 translate in parallel. Meanwhile, a parallel translation also appears in the plots of τ1 versus Q and τ2 versus M. (iii) The interactive effects between self-correlation times τ1 and τ2 are opposite. |
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| Keywords: | metapopulation Levins model colored noises signal-to-noise ratio |
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