Stochastic dynamic balance of a bi-stable vegetation model with pulse control
Stochastic dynamic balance of a bi-stable vegetation model with pulse control
复制标题
脉冲控制双稳态植被模型的随机动态平衡
DOI：
10.1016/j.physa.2020.124809
复制
发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Qiao Yan
中科院分区：
文献类型：
--
作者：
Zhang Hongxia;Xu Wei;Han Ping;Qiao Yan
建立了脉冲控制的随机植被模型，并探讨了其动力学机制。系统的平稳响应可以通过平稳概率密度函数和平均植被生物量来检测。利用吸引盆平均首次退出时间和吸引子时间序列研究了系统的暂态特性。由于脉冲控制具有特殊的不连续特性，因此仅通过数值模拟对这些指标进行了分析。特别地，对于非受控情况，导出了平稳概率密度和平均首次退出时间的解析表达式，两种方法的相对误差可以忽略不计。结果表明，随机气候变化等强烈的环境扰动会影响植被生态系统的平衡，脉冲控制可以有效地控制植被生态系统的平衡。
The stochastic vegetation model with the pulse control is established, and the related dynamic mechanisms are explored. The stationary responses of the system can be detected by the stationary probability density function and the mean vegetation biomass. And the transient properties of the system are investigated by the mean first exit time of the attraction basin and the time series of the attractor. Due to the special discontinuity of the pulse control, these indexes are analyzed through numerical simulations alone. Specially, for the uncontrolled case, the analytical expressions of the stationary probability density and mean first exit time can be derived, and relative errors of the two proposed methods can be ignored as a whole. It turns out that the strong environmental disturbance such as the random climate change can influence the vegetation ecosystem balance, which can be effectively controlled by the pulse control.