Extinction and persistence in a stochastic Nicholson's model of blowfly population with delay and Lévy noise

Existence and uniqueness of a global positive solution are proved for a stochastic Nicholson's equation of a blowfly population with delay and Lévy noise. The first-order moment of the solution is bounded and the mean of its second moment is finite. A threshold quantity depending on the paramet...

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Bibliographic Details
Published inMathematical population studies Vol. 30; no. 4; pp. 209 - 228
Main Authors Basri, Layla, Bouggar, Driss, El Fatini, Mohamed, El Khalifi, Mohamed, Laaribi, Aziz
Format Journal Article
LanguageEnglish
Published Abingdon Routledge 02.10.2023
Taylor & Francis Ltd
Subjects
Delay
Levy noise
Lévy noise
Nicholson's blowfly population model
Parameters
persistence and extinction
stochastic differential equation
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Summary:Existence and uniqueness of a global positive solution are proved for a stochastic Nicholson's equation of a blowfly population with delay and Lévy noise. The first-order moment of the solution is bounded and the mean of its second moment is finite. A threshold quantity depending on the parameters is involved in the drift, the diffusion parameter, and the magnitude and distribution of jumps. The blowfly population goes extinct exponentially fast when . It persists when The case does not allow for knowing whether the population goes extinct or not.
ISSN:0889-8480
1547-724X
DOI:10.1080/08898480.2023.2165338