[1]赵宇,魏春金.觅食竞技场下浮游生物模型的动力学行为[J].集美大学学报(自然科学版),2024,29(3):253-261.
ZHAO Yu,WEI Chunjin.Dynamics Behavior of the Plankton Model in Foraging Arena[J].Journal of Jimei University,2024,29(3):253-261.
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《集美大学学报(自然科学版)》[ISSN:1007-7405/CN:35-1186/N]
- 卷:
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第29卷
- 期数:
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2024年第3期
- 页码:
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253-261
- 栏目:
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数理科学与信息工程
- 出版日期:
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2024-06-28
文章信息/Info
- Title:
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Dynamics Behavior of the Plankton Model in Foraging Arena
- 作者:
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赵宇; 魏春金
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集美大学理学院,福建 厦门 361021
- Author(s):
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ZHAO Yu; WEI Chunjin
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School of Science,Jimei University,Xiamen 361021,China)
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- 关键词:
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浮游生物; 觅食竞技场; 动力学; 平稳分布; 持久; 灭绝
- Keywords:
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plankton; foraging arena; dynamics; stationary distribution; persistence; extinction
- 分类号:
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-
- DOI:
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-
- 文献标志码:
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A
- 摘要:
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主要讨论觅食竞技场下浮游生物的动力学行为。证明对于任意给定的正初始值,系统都存在唯一的全局正解;应用随机微分方程的比较定理,得到系统持久与灭绝的充分条件,并且证明系统具有一个唯一的遍历平稳分布。最后,用数值模拟验证了理论结果。
- Abstract:
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In this paper,the dynamics behavior of a plankton model in foraging arena were investigated.Firstly,it was proved that there was a unique global positive solution starting from the positive initial value.Then,sufficient conditions for extinction and persistence in mean were obtained by comparison theorem for stochastic differential equation.In addition,it was proved that there existed a unique ergodic stationary distribution.Finally,the theoretical results were verified by numerical simulation
参考文献/References:
相似文献/References:
[1]曾祥波,黄永春.低盐虾塘浮游生物群落及摄食研究[J].集美大学学报(自然科学版),2018,23(2):99.
ZENG XiangboHUANG Yongchun.Study on Plankton Community Structure and Microzooplankton Grazing in Low Salinity Shrimp Pond[J].Journal of Jimei University,2018,23(3):99.
更新日期/Last Update:
2024-08-12