| The Discrete Approximation of Continuous-state Nonlinear Branching Processes in Lévy Random Environments北大核心CSCD |
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| 引用本文： | 杨叙韦玉蓉.The Discrete Approximation of Continuous-state Nonlinear Branching Processes in Lévy Random Environments北大核心CSCD[J].数学学报,2022(6):1143-1152. |
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| 作者姓名： | 杨叙韦玉蓉 |
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| 作者单位： | 1.北方民族大学数学与信息科学学院750021; |
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| 基金项目： | 北方民族大学重点科研项目(2019KJ28)；国家自然科学基金(11771018,12061004)；宁夏自然科学基金(2021AAC02018)；北方民族大学重大专项(ZDZX201902)和北方民族大学中央高校基本科研业务费专项资金(2020KYQD17)。 |
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| 摘 要： | In this paper, we establish the discrete approximation of continuous-state nonlinear branching processes in Lévy random environments by using tightness and convergence sequence in infinite dimensional product space via stochastic differential equations. Taking α-stable branching as an example, the conditions which are given to discretize continuous-state nonlinear branching processes in Lévy random environments are verified. © 2022 Chinese Academy of Sciences. All rights reserved.
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| 关 键 词： | 随机环境 非线性分枝过程 随机微分方程 Lévy过程 |
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