Time-delay-induced dynamical behaviors for an ecological vegetation growth system driven by cross-correlated multiplicative and additive noises

The European Physical Journal. E, Soft Matter
Kang-Kang WangSheng-Hong Li

Abstract

In this paper, the modified potential function, the stationary probability distribution function (SPDF), the mean growth time and the mean degeneration time for a vegetation growth system with time delay are investigated, where the vegetation system is assumed to be disturbed by cross-correlated multiplicative and additive noises. The results reveal some fact that the multiplicative and additive noises can both reduce the stability and speed up the decline of the vegetation system, while the strength of the noise correlation and time delay can both enhance the stability of the vegetation and slow down the depression process of the ecological system. On the other hand, with regard to the impacts of noises and time delay on the mean development and degeneration processes of the ecological system, it is discovered that 1) in the development process of the vegetation population, the increase of the noise correlation strength and time delay will restrain the regime shift from the barren state to the boom one, while the increase of the additive noise can lead to the fast regime shift from the barren state to the boom one. 2) Conversely, in the depression process of the ecological system, the increase of the strength of the correlatio...Continue Reading

References

Mar 1, 1985·Physical Review. B, Condensed Matter·M Y Choi, B A Huberman
Nov 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·X G Wu, R Kapral
Dec 16, 1985·Physical Review Letters·R RoyS Zhu
Jun 12, 1999·Science·C A Klausmeier
Feb 19, 2000·Proceedings of the National Academy of Sciences of the United States of America·J HastyJ J Collins
Oct 25, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·T Ohira, T Yamane
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·C J TessoneP Hanggi
Oct 12, 2001·Nature·M SchefferB Walker
Dec 12, 2001·Physical Review Letters·L S Tsimring, A Pikovsky
Feb 7, 2003·Physical Review Letters·N M ShnerbS Solomon
Dec 17, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Quan Liu, Ya Jia
Jul 27, 2005·Proceedings of the National Academy of Sciences of the United States of America·Paolo D'OdoricoLuca Ridolfi
Feb 19, 2008·Ecology Letters·Vishwesha Guttal, Ciriyam Jayaprakash
Aug 8, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jun TangYa Jia
Sep 4, 2009·Nature·Marten SchefferGeorge Sugihara
Jun 1, 2004·Mathematical Biosciences and Engineering : MBE·B SpagnoloA Fiasconaro
Apr 30, 2011·Science·S R CarpenterB Weidel
Feb 23, 2012·The European Physical Journal. E, Soft Matter·S GhoshI Bose

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Y Jia, J r Li
The Journal of Chemical Physics
Jyotipratim Ray ChaudhuriSuman Kumar Banik
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Dan Wu, Shiqun Zhu
© 2022 Meta ULC. All rights reserved