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基于lotka-volterra种群动态模型的水生动物性别比例变化研究

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应用数学进展 2024年第5期13卷 2469-2475页

作者：冯玉婷周才英占新龙江西理工大学理学院江西赣州

水生动物的性别比例会受遗传因素与外界环境、激素的影响,其具有适应性别比例变异的特征,且性别比例变化对种群自身及其他物种都有一定影响。主要从物种间的内部机制与外部资源环境因素两方面论述。通过已知性别决定因素,构造性别比例... 详细信息

水生动物的性别比例会受遗传因素与外界环境、激素的影响,其具有适应性别比例变异的特征,且性别比例变化对种群自身及其他物种都有一定影响。主要从物种间的内部机制与外部资源环境因素两方面论述。通过已知性别决定因素,构造性别比例变化与资源可用性相关函数,考虑性别比例变化与生存环境面积的影响,建立基于lotka-volterra的系统动态模型。本文以海七鳃鳗为例,运用模型进行研究,研究得到其在性别比例变化下种群数量变化曲线随时间呈周期性,且猎食者的数量波动相比于猎物的数量呈现约四分之一个周期的滞后效应。

关键词： lotka-volterra 水生动物种群动态模型性别比例海七鳃鳗

基于lotka-volterra模型的生态学创新试题浅析

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教学考试 2024年第26期 64-65页

作者：杨继福王晓梅安徽省利辛县第一中学安徽省涡阳县第一中学

lotka-volterra捕食者一猎物模型是由洛特卡和沃尔泰拉提出,是对群落中捕食关系进行的一种简化非线性描述,在生态学领域具有很重要的地位和很大的参考价值。模型假设条件如下:捕食者和被捕食者均是适应当地自然环境的,且两者为独立的、... 详细信息

lotka-volterra捕食者一猎物模型是由洛特卡和沃尔泰拉提出,是对群落中捕食关系进行的一种简化非线性描述,在生态学领域具有很重要的地位和很大的参考价值。模型假设条件如下:捕食者和被捕食者均是适应当地自然环境的,且两者为独立的、单一的捕食关系,即该捕食者只以该被捕食者为食物,该被捕食者只被该捕食者所捕食。

关键词：捕食者创新试题洛特卡生态学领域模型假设沃尔泰拉 lotka-volterra

Positive quasi-periodic solutions to lotka-volterra system

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Science China Mathematics 2010年第5期53卷 114-123页

作者： Cong HongZi Mi LuFang Yuan XiaoPing Fudan Univ Sch Math Sci Shanghai 200433 Peoples R China Binzhou Univ Dept Math & Informat Sci Binzhou 256600 Peoples R China

In this paper,we prove the existence of positive quasi-periodic solutions for a class of lotka-volterra system with quasi-periodic coefficients by KAM technique.

关键词： quasi-periodic solution lotka-volterra system KAM theory

An Adaptive Traffic Distribution Scheme for CMT based on lotka-volterra Model in Multihomed Networks

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China Communications 2017年第2期14卷 79-89页

作者： Weibing Gong Xiaolong Yang Min Zhang Keping Long School of Computer & Communication Engineering University of Science and Technology Beijing China

CMT(concurrent multipath transfer) can increase throughput and transmission efficiency in multihomed networks. However, it is still an important challenge about distributing traffic adaptively into multiple access networks. Based on LV(***) model, we propose an adaptive traffic distribution scheme. In the scheme, two competition modes are concluded, multiple S.D(***) streams competition for bandwidth of one path and multipath competition for traffic between each multihomed S.D host pair. Actually, each access network can establish a path for S.D pairs. So, in the first mode, each path is analogous to a predator, and overall traffic in a multihomed host is analogous to prey. Then, each path has to compete for the traffic by path information, e.g., bandwidth and congestion level. In the other one, if several S.D pairs pass through a shared path simultaneously, they will compete for bandwidth of the path. Here, each S.D pair is analogous to a predator, and the bandwidth of the common path is analogous to the prey. At last, compared with other three schemes, uniform traffic distribution, greedy path selection, random path selection in OPNET simulator, the proposed scheme can perform better onreducing file transmission time and increasing network throughput in FTP service.

关键词： multihomed networks lotka-volterra cmt multipath bio-inspired

THE STRUCTURE OF LASALLE’S INVARIANT SET FOR lotka-volterra SYSTEMS

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Science China Mathematics 1991年第7期34卷 783-790页

作者：刘立陆征一王东明 Department of Mathematics Sichuan Normal University Chengdu 610066 PRC Department of Mathematics Sichuan University Chengdu 610064 PRC Research Institute for Sumbolic Computation Johannes Kepler University Austria and Institute of Systems Science Academia Sinica Beijing 100080 PRC

By developing the mechanical proving method, we determine the structure of LaSalle’sinvariant set for 7-dimensional lotka-volterra food chain systems, based on Ritt-Wu’s prin-ciple. We then further show that the locally asymptotical stable equilibrium point of lotka-volterra food chain systems for 7 dimension must be globally stable.

关键词： lotka-volterra systems LaSalle’s invariant set, well-ordering principle global stability.

THE CRITERIA OF ULTIMATE BOUNDEDNESS FOR NONAUTONOMOUS DIFFUSIVE lotka-volterra SYSTEMS IN TWO HETEROGENEOUS PATCHES

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Journal of Systems Science & Complexity 2001年第2期14卷 179-188页

作者： LI Xuezhi (Department of Mathematics, Xinyang Teachers College, Henan 464000, China) GENI Gupur (Deportment of Mathematics, Xinjiang University, Urumqi 830046, China) ZHU Guangtian (Institute of Systems Science, Academy of Mathematics and Systems Science, 信阳师范学院河南 464000 新疆大学新疆乌鲁木齐 830046 中科院系统科学所北京 100080

In this paper, a set of sufficient conditions is obtained for the ultimate boundedness of nonautonomous n-species diffusive lotka-volterra sub-models in two heterogeneous patches. The sub-models are the lotka-volterra tree systems, including the lotka-volterra chain systems and the lotka-volterra models between one and multispecies. The criteria in this paper are in explicit forms of the parameters and thus are easily verifiable.

关键词： Ultimate boundedness diffusive lotka-volterra systems patches.

Asymptotic Stability of Solutions of lotka-volterra Predator-Prey Model for Four Species

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