Stochastic dynamical features for a time-delayed ecological system of vegetation subjected to correlated multiplicative and additive noises

Colored Correlated Noises Induced Regime Shifts in a Time-delayed Lake Eutrophication Ecosystem

“…In accordance with [11], the approximate delay Fokker-Planck equation of Eq. ( 3) is further reduced to:…”

“…However, the gradual external factors rather than huge exogenous shocks induced the sudden steady-state transition, this is called catastrophic regime shifts. In recent years, environmental noises has received great attention, especially in dynamics and resilience of ecological systems [11][12][13]. For example, Wang et al explored the mean-field vegetation model subject to environmental noises, where the interaction between noises induced the resonant phenomenon [11].…”

“…In recent years, environmental noises has received great attention, especially in dynamics and resilience of ecological systems [11][12][13]. For example, Wang et al explored the mean-field vegetation model subject to environmental noises, where the interaction between noises induced the resonant phenomenon [11]. Subsequently, Zeng et al investigated the multiplicative and additive noises in lake approaching eutrophication ecosystems, it is found that the hysteresis loop acreage can be broadened by the correlated noises [12].…”