多种分支流程与不均的毒液移民
Kosto V Mitov1, Nikolay M Yanev2, Ollivier Hyrien3
1Faculty of Aviation, Vasil Levski National Military University, 5856 D. Mitropolia, Pleven, Bulgaria.
概括
本研究介绍了多种类型的分支过程与不均的Poisson移民. 研究人员分析了关键的马尔科夫案例,揭示了基于变化的强度函数的极限分布和非对称行为.
科学领域:
- 随机过程是指随机的过程.
- 概率理论的概率理论是什么
- 数学生物学的数学生物学
背景情况:
- 分支过程是概率和人口动态学的基本模型.
- 不均的Poisson移民增加了标准分支模型的复杂性.
- 了解关键病例对于预测人口行为至关重要.
研究的目的:
- 引入和分析多种类型的分支过程与不均的Poisson移民.
- 调查关键的马尔科夫场景,其中强度是一个经常变化的函数.
- 为了确定极限分布和非对称行为.
主要方法:
- 多种分支过程理论的发展. 多种分支过程理论的发展.
- 分析关键的马尔科夫病例,其强度经常变化.
- 对瞬间和非灭绝概率的非对称分析.
主要成果:
- 导出各种有条件和无条件的多类型极限分布.
- 识别分布和强度变化速度之间的依赖关系.
- 对瞬间和非灭绝概率的非对称行为的表征.
结论:
- 这些复杂的分支过程的行为受到移民强度的动态的影响.
- 该研究提供了一个全面的框架,用于分析关键的多类型分支过程.
- 结果对在随机环境中对不断变化的种群进行建模有意义.
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