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Mathematical Problems in Engineering
Article . 2014 . Peer-reviewed
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Mathematical Problems in Engineering
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https://dx.doi.org/10.1155/201...
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Permanence and Extinction of a Stochastic Delay Logistic Model with Jumps

Permanence and extinction of a stochastic delay logistic model with jumps
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2014 English Publisher:WileyJournal:Mathematical Problems in Engineering, volume 2,014 (issn: 1024-123X, eissn: 1563-5147, Copyright policy )
Authors: Chun Lu; Xiaohua Ding;

doi: 10.1155/2014/495275

Permanence and Extinction of a Stochastic Delay Logistic Model with Jumps

Abstract

This paper is concerned with a stochastic delay logistic model with jumps. Sufficient and necessary conditions for extinction are obtained as well as stochastic permanence. Numerical simulations are introduced to support the theoretical analysis results. The results show that the jump process can affect the properties of the population model significantly, which conforms to biological significance.

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Keywords

Stochastic functional-differential equations, Jump processes, Stochastic ordinary differential equations (aspects of stochastic analysis)

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    popularity
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
gold
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