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具有生态位构建作用的种群进化动力学模型及其应用研究 总被引:3,自引:0,他引:3
依据进化动力学的理论与方法,系统探讨了生态位构建的机理与模式.通过建立生态位构建的空间模式及其适合度计算公式和具有生态位构建作用的单种群与两种群的进化动力学模型,并对其种群进化动态、种间竞争共存机制进行的理论与数值模拟分析,揭示了生物与环境资源的协同进化关系.结果表明:种群动态受其主要生态因子及资源含量的正反馈作用.生态位构建作用通过对种群适宜度的影响而产生进化响应.单种群动力系统存在种群大小的阈值效应;在两竞争种群动力系统中,生态位构建可以导致进化动力系统的多个竞争结果,从而为解释种间竞争与稳定共存提供了一种新的理论机制. 相似文献
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进化规划动态寻优机理分析 总被引:3,自引:0,他引:3
为了从整体上揭示进化规划 ( EP)算法的内在运行机制 ,探寻算法的动态寻优机理 ,本文从种群角度出发 ,建立了一种种群动态寻优微分方程模型 ,并对该模型进行了理论分析 .数值模拟结果说明了所建模型的正确性 ,并得出了一些有意义的结论 相似文献
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主要研究一类具有进化效应的SIR模型的动力学行为.首先,建立数学模型,并证明系统解的存在性,正性,有界性等基本性质.其次,分析系统正平衡点的稳定性,并给出健康个体的防御成本和已感染个体的感染能力引起健康个体和已感染个体数量振荡的充分条件.然后,利用中心流形定理,讨论Hopf分支的性质.最后,利用合适的参数值,对系统进行数值模拟. 相似文献
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《数学的实践与认识》2015,(19)
以进化博弈论为分析工具,对当前农村社会化服务组织进行分析和实验模拟.通过研究得出一些科学有用的结论并提出具有参考价值的政策建议,以促进农村社会化服务组织健康稳定的发展. 相似文献
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基于非均匀变异的进化算法对高维多峰函数的收敛性分析 总被引:3,自引:0,他引:3
对基于非均匀变异算子的进化算法的实验和机理分析已经证明了该算法模型的良好特性,最近基于非均匀变异算子的进化算法模型求解一维多峰函数问题的收敛性已经得到证明.基于马尔科夫过程理论,对基于非均匀变异算子的一般性进化算法模型和一般性高维多峰函数的收敛性给出证明,并基于典型算例与同类典型算法进行性能比较,数值试验表明算法模型具有很好的性能表现和应用前景. 相似文献
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乳制品安全风险存在于生产与组织的多个阶段。在各个阶段中,政府监管部门虽统一监管,但由于采取的监管策略不同,使其与厂商之间的博弈情景存在差异,这将影响风险控制的成果。为探索多阶段监管的有效途径,找寻降低监管风险的方法,本文分析了乳制品安全监管中的多阶段进化博弈。首先阐述多阶段厂商监管的相关组织关系,构建进化博弈模型;其次基于模型进行进化博弈分析,分别得出了不同监管情景下的演化稳定策略,识别了多阶段策略选择的稳定条件;最后归纳了进化博弈分析结果,通过模拟仿真以及案例分析加以验证。 相似文献
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通过对基金市场中基金管理者和市场监管者的行为分析,引入有限理性博弈概念,建立了一个基金市场监管的动态博弈模型,并应用进化博弈方法在模型求解和参数分析的基础提出了相关政策建议:1)市场监管的比例应稍超过某个临界值则可达到最优;2)应降低基金管理者对市场监管要求的临界值;3)应关注监管者对市场中违规基金数量比例预期的临界值,并适时的调整监管力度使得基金群体中违规的比例趋向于最小. 相似文献
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物流企业与银行之间的良好合作关系是物流金融业务继续发展的前提和基础。以仓单质押融资业务为例,运用演化博弈理论对物流企业与银行之间的监督包庇问题进行了分析,构建复制动态方程和运用动态相位图分析群体策略的演化过程及结果,为建立良好的合作关系提供理论依据。分析结果表明:该动态系统的演化方向受到博弈支付矩阵以及系统的初始状态的影响。银行监督成本、银行的收益损失、物流企业的包庇成本和物流企业的罚金是影响演化结果的关键性因素。通过外部力量的加入,可促使系统演化至(不包庇,不监督)这一期望演化稳定策略。 相似文献
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进化博弈决策机制设计综述 总被引:1,自引:0,他引:1
进化博弈论是一门交叉性强的综合性理论,在国内外已得到广泛研究和应用.本文系统论述了进化博弈的决策机制及其特点,指出了进化博弈研究的趋势,进化博弈论可作为中国科技工作者学习、研究和应用的有力工具. 相似文献
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There has been a growing interest in mathematical models to character the evolutionary algorithms. The best-known one of such models is the axiomatic model colled the abstract evolutionary algorithm. In this paper, we first introduce the definitions of the abhstract selection and evolution operators, and that of the abstract evolutionary algorithm, which describes the evolution as an abstract stochastic process composed of these two fundamental abstract operators. In particular, a kind of abstract evolutionary algorithms based on a special selection mechansim is discussed. According to the sorting for the state space, the properties of the single step transition matrix for the algorithm are anaylzed. In the end, we prove that the limit probability distribution of the Markov chains exists. The present work provides a big step toward the establishment of a unified theory of evolutionary computation. 相似文献
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Igor V. Evstigneev Thorsten Hens Klaus Reiner Schenk-Hopp�� 《Mathematics and Financial Economics》2011,5(3):185-202
This paper introduces and analyzes an evolutionary model of a financial market with a risk-free asset. Focus is on the study
of local stability of the wealth dynamics through the application of recent results on the linearization and stability of
random dynamical systems (Evstigneev et al. Proc Am Math Soc 139:1061–1072, 2011). Conditions are derived for the linearization of the model at an equilibrium state which ensure local convergence of sample
paths to this equilibrium. The paper also shows that the concept of local stability is closely related to the notion of evolutionary
stability. A locally evolutionarily stable investment strategy in the evolutionary model with a risk-free asset is derived,
extending previous research. The method illustrated here is applicable for the analysis of manifold economic and financial
dynamic models involving randomness. 相似文献
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There has been a growing interest in mathematical models to character the evolutionary algorithms. The best-known one of such models is the axiomatic model called the abstract evolutionary algorithm (AEA), which unifies most of the currently known evolutionary algorithms and describes the evolution as an abstract stochastic process composed of two fundamental abstract operators: abstract selection and evolution operators. In this paper, we first introduce the definitions of the generalized abstract selection and evolution operators. Then we discuss the characterization of some parameters related to generalized abstract selection and evolution operators. Based on these operators, we finally give the strong convergence of the generalized abstract evolutionary algorithm. The present work provides a big step toward the establishment of a unified theory of evolutionary computation. 相似文献
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Guodong Zhao Haitao Li Peiyong Duan Fuad E. Alsaadi 《Journal of Applied Analysis & Computation》2020,10(1):32-54
Semi-tensor product (STP) method of matrices has received more and more attention from the communities of both engineering and economics in recent years. This paper presents a comprehensive survey on the applications of STP method in the theory of networked evolutionary games. In the beginning, some preliminary results on STP method are recalled. Then, the applications of STP method in many kinds of networked evolutionary games, such as general networked evolutionary games, networked evolutionary games with finite memories, networked evolutionary games defined on finite networks, and random networked evolutionary games, are reviewed. Finally, several research problems in the future are predicted. 相似文献
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Evolutionary stability, the central solution concept in evolutionary game theory, is closely related to local asymptotic stability in a certain nonlinear dynamical system operating on the state space, the so-called "replicator dynamics". However, a purely dynamical characterization of evolutionary stability is not available in an elementary manner. This characterization can be achieved by investigating so-called "derived games" which consist of mixed strategies corresponding to successful states in the original game. Using well-known facts, several characterization results are obtained within this context. These also may shed light on the extremality properties of evolutionary stability. 相似文献