Noise -induced shifts in dynamics of multi -rhythmic population SIP -model

被引：8
作者：
Bashkirtseva, Irina [1 ]
Perevalova, Tatyana [1 ]
Ryashko, Lev [1 ]
机构：
[1] Ural Fed Univ, Ekaterinburg, Russia
来源：
CHAOS SOLITONS & FRACTALS | 2020年 / 136卷 / 136期
基金：
俄罗斯科学基金会;
关键词：
ECO-EPIDEMIOLOGIC MODEL; WEAK ALLEE; STOCHASTIC SENSITIVITY; COMPLEX DYNAMICS; BIRHYTHMICITY; CHAOS;
D O I：
10.1016/j.chaos.2020.109816
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Motivated by important ecological applications, we investigate a three-dimensional population system describing mutual dynamics of predator (P) and prey divided into susceptible (S) and infected (I) species. In our study, we focus on a parameter zone with complex multi-rhythmic behavior where several oscillatory attractors coexist, both regular and chaotic. An effect of random disturbances in this SIP-model is investigated on the basis of direct numerical simulation and analytical stochastic sensitivity technique. It is revealed that random fluctuations in the rate of the infection spread result in the transitions between oscillatory modes with extinction of predator. It is shown that these noise-induced phenomena are accompanied by stochastic bifurcations and multi-stage order-chaos transitions. © 2020
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页数：8
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