华中师范大学学报（自然科学版）2018，Vol.52Issue(1)：27-35,9.DOI:10.19603/j.cnki.1000-1190.2018.01.006
基于色关联高斯噪声理论下捕食者-被捕食者模型中被捕食者的平均灭绝时间
The mean extinction time of prey for a preador-prey model based on the colored cross-correlated noises theory
摘要
Abstract
Based on the theoretical results of Suman Kumar Banik,the mean extinction time is introduced to the predator-prey model.On the basis of the steepest descent method,the analytical expressions of the MFPT (mean first-passage time) of the system is obtained,and the effects of colored cross-correlated noises on the mean extinction time of prey is investigated.The result shows that:(1) The MFPT T+ (x-→ xu) is a monotone decreasing function of additive noise intensity D.(2) The mean extinction time T-(x+→ xu) decreases rapidly with the increase of D.(3)The curve image of T(x±→ xu) vs Q appears as a peak which is similar to the stochastic resonance peak.(4) The correlation intensity of noise has a completely different influence on the mean extinction time T+ (x-→ xu) and T-(x+→ xu).The results above provide theoretical guidance for the protection of endangered species and rare and precious species from the perspective of statistical physics,so as to ensure that biodiversity conservation is carried out more effectively.关键词
噪声/捕食者—被捕食者模型/环境波动/稳定性/平均灭绝时间Key words
noises/predator-prey model/environmental fluctuations/stability/mean extinction time分类
数理科学引用本文复制引用
王国威,付燕,彭荣荣..基于色关联高斯噪声理论下捕食者-被捕食者模型中被捕食者的平均灭绝时间[J].华中师范大学学报（自然科学版）,2018,52(1):27-35,9.基金项目
江西省教育厅科学技术研究项目(No.GJJ161227、GJJ151240) （No.GJJ161227、GJJ151240）
南昌工学院科技计划课题资助项目(GJKJ-16-01,GJKJ-16-02,NGKJ-17-05). （GJKJ-16-01,GJKJ-16-02,NGKJ-17-05）
