Temporal patterns of dispersal-induced synchronization in population dynamics

JOURNAL OF THEORETICAL BIOLOGY

卷:490

Article

Ahn, Sungwoo¹  Rubchinsky, Leonid L.^2,3 

[1] East Carolina Univ, Dept Math, Greenville, NC 27858 USA

[2] Indiana Univ Purdue Univ, Dept Math Sci, 402 N Blackford St, Indianapolis, IN 46202 USA

[3] Indiana Univ Sch Med, Stark Neurosci Res Inst, Indianapolis, IN 46202 USA

关键词: Intermittency;    Desynchronization;    Phase-locking;    Predator-prey oscillator;   

DOI  :  10.1016/j.jtbi.2020.110159

来源: Elsevier

【 摘 要 】

The mechanisms and properties of synchronization of oscillating ecological populations attract attention because it is a fairly common phenomenon and because spatial synchrony may elevate a risk of extinction and may lead to other environmental impacts. Conditions for stable synchronization in a system of linearly coupled predator-prey oscillators have been considered in the past. However, the spatial dispersal coupling may be relatively weak and may not necessarily lead to a stable, complete synchrony. If the coupling between oscillators is too weak to induce a stable synchrony, oscillators may be engaged into intermittent synchrony, when episodes of synchronized dynamics are interspersed with the episodes of desynchronized dynamics. In the present study we consider the temporal patterning of this kind of intermittent synchronized dynamics in a system of two dispersal-coupled Rosenzweig-MacArthur predatorprey oscillators. We consider the properties of the distributions of durations of desynchronized intervals and their dependence on the model parameters. We show that the temporal patterning of synchronous dynamics (an ecological network phenomenon) may depend on the properties of individual predatorprey patch (individual oscillator) and may vary independently of the strength of dispersal. We also show that if the dynamics of predator is slow relative to the dynamics of the prey (a situation that may promote brief but large outbreaks), dispersal-coupled predator-prey oscillating populations exhibit numerous short desynchronizations (as opposed to few long desynchronizations) and may require weaker dispersal in order to reach strong synchrony. (C) 2020 Elsevier Ltd. All rights reserved.

【 授权许可】

Free