带有延迟和l杂波噪声的苍蝇种群随机尼科尔森模型的灭绝和持久性

IF 1.4 3区社会学 Q3 DEMOGRAPHY

Mathematical Population Studies Pub Date : 2023-02-03 DOI:10.1080/08898480.2023.2165338

Layla Basri, D. Bouggar, M. El Fatini, Mohamed El khalifi, A. Laaribi

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引用次数: 0

摘要

摘要证明了具有时滞和Lévy噪声的苍蝇种群的随机Nicholson方程全局正解的存在性和唯一性。解的一阶矩是有界的，二阶矩的均值是有限的。漂移、扩散参数以及跳跃的幅度和分布涉及取决于参数的阈值量。喷蝇种群以指数级的速度灭绝。当这种情况不允许知道种群是否灭绝时，它就会持续存在。

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

ABSTRACT 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.

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来源期刊

Mathematical Population Studies 数学-数学跨学科应用

CiteScore

3.20

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematical Population Studies publishes carefully selected research papers in the mathematical and statistical study of populations. The journal is strongly interdisciplinary and invites contributions by mathematicians, demographers, (bio)statisticians, sociologists, economists, biologists, epidemiologists, actuaries, geographers, and others who are interested in the mathematical formulation of population-related questions. The scope covers both theoretical and empirical work. Manuscripts should be sent to Manuscript central for review. The editor-in-chief has final say on the suitability for publication.