捕食者-猎物模型的复杂动态,具有机会主义的捕食者和弱的猎物的Allee效应
Zhenliang Zhu1, Yuming Chen2, Fengde Chen3
1College of Mathematics and Data Science, Minjiang University, Fuzhou, Fujian, People's Republic of China.
Journal of biological dynamics
|June 20, 2023
概括
这项研究探讨了捕食者-猎物动态与机会主义的捕食者和猎物艾利效应. 猎物灭绝发生在高捕食;否则,复杂的系统行为和分叉出现.
科学领域:
- 生态生态学 生态生态学
- 数学生物学 数学生物学
- 理论生态学理论生态学
背景情况:
- 捕食者-猎物模型是生态学的基础.
- 结合诸如猎物艾利效应和捕食者机会主义等因素增加了复杂性.
- 了解这些动态对于生态系统的稳定至关重要.
研究的目的:
- 为了修改洛特卡-沃尔特拉捕食者-猎物模型.
- 研究一种机会主义的捕食者和一个弱的Allee效应对猎物种群动态的影响.
- 分析由此产生的系统的复杂行为和分叉.
主要方法:
- 修改了洛特卡-沃尔特拉捕食者-猎物方程式.
- 包含了代表猎物的术语 - - 艾利效应和捕食者的机会主义.
- 对系统稳定性和分叉的数学分析.
- 数字模拟用于验证理论发现.
主要成果:
- 猎物灭绝的预测是在捕食者的狩猎和替代性食物资源实质性的时候.
- 当猎物没有灭绝时,该系统表现出丰富的动态行为.
- 鉴定了各种各样的分叉,包括结,Hopf和Bogdanov-Takens.
- 数字模拟证实了理论预测.
结论:
- 修改后的洛特卡-沃尔特拉模型捕捉了复杂的生态相互作用.
- 捕食者机会主义和猎物艾利效应之间的相互作用显著影响着种群动态.
- 系统可以通过分叉在稳定状态,振荡和复杂的动态状态之间进行过渡.
关键词:
34C2323 这是一个很大的问题.34D2020 这是什么意思?92D4040 92D4040 92D4040 92D4040 92D4040 92D4040 92D4040 92D40 92D40 92D40 92D40 92D40艾利效应是一种效应.博格达诺夫采取了分叉方式.霍普夫分叉的双叉方式机会主义的捕食者掠食者.捕食者 猎物 捕食者 猎物更多相关视频
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