Predicting fluctuations-caused regime shifts in a time delayed dynamics of an invading species

Xie, Qingshuang; Wang, Tonghuan; Zeng, Chunhua; Dong, Xiaohui; Guan, Lin

doi:10.1016/j.physa.2017.10.036

Cited by 20 publications

(2 citation statements)

References 81 publications

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“…In the nature, the transmission of information, matter, energy of the nonlinear systems inevitably takes certain time, so it is more reasonable to investigate the time-delayed effect in some actual systems. To address this problem, Zeng et al has explored the influence of intrinsic and extrinsic noises on the dynamic behavior to take advantage of the time-delayed vegetation model and the timedelayed tumor cells model, the results show that time delay and noises could induce resonance phenomenon in the nonlinear systems driven by a weak multiplicative periodic force [18][19][20]. More interestingly, Zeng et al demonstrated the input and loss noises can be considered as the controllable parameters on regime shifts of oligotrophication and eutrophication in a timedelayed lake ecosystem [21].…”

Section: Introductionmentioning

confidence: 99%

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

Liu¹,

Guo²,

Ding³

et al. 2022

FSD

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The catastrophic regime shifts in the lake eutrophication ecosystems may be usually caused by environmental perturbations, and the lake dynamics exhibit bistability characteristics with oligotrophic and eutrophic states. This paper is devoted to investigate the time delay effect in a time-delayed lake eutrophication ecosystem (TD-LEE), where the dynamics ecosystem is deemed to be disturbed by both multiplicative and additive noises. On the basis of small delay approximation, we derive the expression of the generalized effective potential function in the TD-LEE and discuss the impact of stochastic delay on the regime shifts between oligotrophic and eutrophic states. In the view of dynamical behaviors on the TD-LEE model, we also revealed that the combination with time delay and colored correlated noises can expedite the regime shift from the eutrophication to oligotrophication, thereby inhibiting the development of lake eutrophication and protecting the stability of lake ecosystem.

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Section: Introductionmentioning

confidence: 99%

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

Liu¹,

Guo²,

Ding³

et al. 2022

FSD

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“…So, it is necessary to study the probable influences of random perturbation in the process of cancer evolution. In fact, in recent years, many scholars have studied the influence of noise on some nonlinear systems [39,40,13,41,42,43,35]. Moreover, many works study the effect of noise on cancer dynamics analytically and numerically, and many stochastic characters have been discovered, such as stochastic bifurcation [4,1], first extinction time [8,25], noise induced extinction [17], stochastic resonance [9,18,44], resonant activation [36,28,26], noise enhanced stability [10,29], and transient dynamics of biological systems [5,11,33,3,6,34].…”

mentioning

confidence: 99%

Survival analysis for tumor growth model with stochastic perturbation

Li¹,

Zhang²,

Yan³

et al. 2021

DCDS-B

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In this paper, we investigate the dynamical behavior of extinction and survival in tumor growth model with immunization under stochastic perturbation. Firstly, the model describing the growth of cancer cells monitored by immune cells is established. Then, the steady probability distribution of tumor cells for different noise intensities and immune parameter intensities, and necessary conditions for extinction and different survival of cancer cells are obtained by numerical and theoretical method. Besides, it is found that the extinction and survival of cancer cells rely on the state of immunization and noise. Finally, stochastic simulations are taken to test the theoretical analytical results. The results of our work are beneficial to discover the evolution mechanism and design effective immunotherapy of tumor.

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A historical analysis of eco-environmental changes in hydrologically regulated lakes

Liang,

Tan,

Tang

et al. 2024

Journal of Environmental Management

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Predicting fluctuations-caused regime shifts in a time delayed dynamics of an invading species

Cited by 20 publications

References 81 publications

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

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

Survival analysis for tumor growth model with stochastic perturbation

A historical analysis of eco-environmental changes in hydrologically regulated lakes

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