连续空间中具有移民的人口模型

IF 1.4 3区社会学 Q3 DEMOGRAPHY

Mathematical Population Studies Pub Date : 2019-07-03 DOI:10.1080/08898480.2019.1626189

E. Chernousova, O. Hryniv, S. Molchanov

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引用次数: 8

摘要

摘要在连续空间中的种群模型中，个体独立进化为受迁移影响的分支随机游动。如果潜在的分支机制是亚临界的，那么对于移民强度的每个值，该模型都有一个独特的稳态。收敛到平衡点的速度是指数级的。由此产生的动力学是李雅普诺夫稳定的，因为它们的定性行为在模型的主要参数的适当扰动下不会改变。

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Population model with immigration in continuous space

ABSTRACT In a population model in continuous space, individuals evolve independently as branching random walks subject to immigration. If the underlying branching mechanism is subcritical, the model has a unique steady state for each value of the immigration intensity. Convergence to the equilibrium is exponentially fast. The resulting dynamics are Lyapunov stable in that their qualitative behavior does not change under suitable perturbations of the main parameters of the model.

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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.