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Effects of habitat complexity on stochastic nonlinear ecosystems
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.ORCID iD: 0000-0002-7111-4705
2016 (English)In: International Journal of Dynamics and Control, ISSN 2195-268X, Vol. 4, no 3, 275-283 p.Article in journal (Refereed) Published
Abstract [en]

The term “Habitat Complexity” is used to measure the coupling level between different species in an ecosystem. It plays an important role to an ecosystem in which two or more species are interacting with each other. In the present paper, effects of the habitat complexity on predator–prey ecosystems with or without noise disturbances are investigated. Stochastic analysis methods of the Ito differential equations, the stochastic averaging method, and the Monte Carlo simulation are applied to obtain the stationary probability densities of the predator and prey population densities. It is found that the effects of the habitat complexity on the system dynamical behaviors are quite different for the deterministic case and the stochastic case. In absence of the noises, there are two bifurcation points dividing the level of habitat complexity into three regions: weak, moderate and strong. In the three regions, limit cycles, co-existing equilibrium states, and predator-extinct equilibrium states are present, respectively. In the stochastic case, the stable invariant measures in terms of probability distributions replace both the limit cycles and coexisting equilibriums in the regions of weak and moderate habitat complexity. For the case of strong habitat complexity, although the predator remains extinct, the prey is not in an equilibrium state, but possesses a probability distribution.

Place, publisher, year, edition, pages
Springer, 2016. Vol. 4, no 3, 275-283 p.
Keyword [en]
Habitat complexity, Monte Carlo simulation, Predator–prey ecosystem, Stationary probability density function, Stochastic averaging method, Stochastic model
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:kth:diva-194885DOI: 10.1007/s40435-015-0194-xScopusID: 2-s2.0-84983080828OAI: oai:DiVA.org:kth-194885DiVA: diva2:1053111
Note

QC 20161208

Available from: 2016-12-08 Created: 2016-11-01 Last updated: 2016-12-08Bibliographically approved

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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
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  • nn-NO
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  • Other locale
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Output format
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  • asciidoc
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