带有Dirac梳的广义Logistic模型及其动力学分析

本文给出了一类种群增长模型——带有Dirac梳的广义Logistic模型,然后对该模型进行了准确的离散化,并分析了离散后模型的动力学。     

具有可变时滞的非自治离散Logistic方程的全局吸引性

得到了具有可变时滞的非自治离散Logistic方程的正解收敛于方程的正平衡常数的一系列充分条件和振动准则．     

基于反馈控制离散Lotka-Volterra竞争模型的持续生存和稳定性

针对一类具有偏离自变量的离散Lotka-Volterra竞争模型,考虑到不可避免的外界扰动,通过引入反馈控制,基于一定的分析技巧得到该系统持久性与全局稳定性的充分条件.生态意义上表明:在外界扰动下,具有偏离自变量的离散Lotka-Volterra竞争模型仍能持续生存并保持全局稳定发展.     

种间竞争的一个新的数学模型—对经典的Lotka—Vol—terra竞争方程的扩充

本文根据营养动力学理论,建立了一类种间竞争的新的数学模型:它是单种群增长的Cui-Lawson模型,在种间竞争上的推广。新的种间竞争模型克服了经典的种间竞争的Lotka-Volteira方程的局限与不足,具有更广泛和复杂的行为,并在特殊条件下以Lotka-Volterra竞争方程为其特例。因此,新的种间竞争的数学模型是更一般的解释性模型,是对经典的Lotka-Voterra竞争方程的扩充。     

具有三时滞Lotka-Volterra互惠系统的Hopf分支

建立了具有三个时滞的Lotka-Volterra互惠系统;获得了正平衡点和Hopf分支存在的条件等;并对所获得的结果进行了数值模拟．     

具无限时滞的Lotka-Volterra 方程的持续性

本文研究了具无限时滞的Lotka-Volterra方程的持久性问题,给出了保证系统持久性的充分条件．     

一类时滞非自治Lotka-Volterra竞争系统的灭绝性

讨论一类具有离散时滞和连续分布时滞的Lotka-Volterra系统,通过构造Lyapunov函数并引入上下平均的概念,将[3]和[6]的方法结合在一起,得到比[6]种群灭绝条件弱的充分条件,同时把文献[3]的结果推广到了时滞非自治系统上.     

Logistic、崔-Lawson种群增长模型理论及实例拟合比较

本文求出了Logistic方程、崔-Lawson方程的速度、加速度方程。Logistic方程在加速度等于零时的增长拐点只能在K/2处,此时的最大增长速度为μ_LK/4;崔-Lawson方程在加速度等于零时的增长拐点在处,此时的最大增长速度为。通过b的变化,在描述种群增长规律时,崔-Lawson方程可优于Logistic方程。本文还用变步长坐标轮换法对两个方程进行实例拟合比较,Logistic方程还比较了Gause、Andrewartha、May、Pearl、Krebs、万昌秀、王莽莽等人的方法与结果。拟合结果表明,崔-Lawson方程最优;在拟合Logistic方程的各种方法中,本文方法较优。     

一类离散Lotka-Volterra系统的灭绝和稳定性（英文）

考虑了一类受有毒物质影响的两物种非自治离散Lotka-Volterra系统.在平均增长率意义下,得到了其中一种物种灭绝的充分条件,证明了另外一种物种的稳定性.     

离散广义Logistic模型的混沌控制

利用Lyapunov指数方法,验证了一类离散广义Logistic模型存在混沌现象,并采用混沌控制中OGY方法的基本思想,研究了这类模型的混沌控制问题,得出了消除混沌,保持种群稳定到不动点和2-周期轨道的充分条件．     

离散广义Logistic模型的稳定性和浑沌现象

文[1]提出了单种生长的连续性文广义Logistic dx/dt=γx({K-x}/(K+px))其中γ>ο为种群的内禀生长率,K>0为环境容纳量,ν>-1表示种群对环境(包括营     

离散广义LOGISTIC模型的渐进性态和混沌现象

1引言自Li－Yorke的著名论文《3一周期意味混饨》问世以来,人们对一维离散模型进行了大量细致的研究工作,其中Logistic模型研究的最为彻底,并由此得到一系列普遍适用的理论结果［‘’2］文【3jIw接地对广义LOgistiC模型的稳定性及其吸引域进行了细致的研究,但其结论尚有不完善之处．在研究其周期解及混炖现象时,仅在IUI＜1时对其近似模型进行了初步讨论·这里参数C＞0为种群内禀生长率,U＞一1表示种群对环境（包括营养资源等）利用率程度的参数．显然,当U—0时,模型（2）可化为LOgistiC模型（1）．本文将直接对模型（2）进行…     

Properties of some density-dependent integrodifference equation population models.

Integrodifference equations may be used as models of populations with discrete generations inhabiting continuous habitats. In this paper integrodifference equation models are formulated for annual plant populations without a seed bank; these models differ in the stage of the life cycle at which intraspecific competition acts to reduce vital rates. The models exhibit a sequence of period-doubling bifurcations leading to chaotic spatial and temporal behavior. The behavior of the models when modal dispersal distances are at the origin is compared with their behavior when these distances are displaced away from the origin. The models are capable of predicting stable, cyclical, and chaotic asymptotic behavior. They also predict that the variance of dispersal distances is an important indicator of the colonizing ability of a species.     

Competition between two similar plant varieties,green shrunk perilla and red shrunk perilla,in mixed cultures

Influences of plant density and time after seeding on the growth of two horticultural forms of perilla (Perilla frutescens var.crispa), green shrunk perilla (f.viridi-crispa) and red shrunk perilla (f.crispa), were examined in a mixed culture experiment. Relationships between mean individual plant weight and plant density in mixed populations were approximated by Ogawa's non-interaction type (NI-type) reciprocal equation. The density conversion factors in the equation for green and red perillas were always, respectively, smaller and larger than unity, suggesting that effects of a green perilla on the other individuals were always stronger than those of a red one in a mixed population. All coefficients in the NI-type reciprocal equation were expressed as functions of time after seeding. As a result, time trends of mean individual plant weights for both species in mixed populations could be reasonably estimated for different plant densities and mixed proportions. The results were also applied to Lotka-Volterra's equation. Time trends of Lotka-Volterra's competition coefficients for both plants could be calculated and were compared with those of density conversion factors.     

具有共生作用两种群离散耦合Logistic模型混沌控制

针对具有共生作用的离散耦合Logistic模型,首先采用Lyapunov指数方法验证了混沌现象的存在.然后详细地分析了系统随参数变化的分岔图,发现了系统中存在更复杂的现象.最后应用混沌跟踪控制方法控制系统的混沌现象,使得种群稳定到正不动点轨道上,消除了种群中存在的混沌现象.仿真结果验证了控制方法的有效性.     

Deterministic chaos in the dynamics of biomembrane ion channel current

Within the framework of the theory of deterministic chaos, a nonlinear first-order differential equation with delay and relaxation with periodic influence on channel current for the parameter of order (deviation of channel current from the equilibrium value) was obtained. The numerical solutions of the equation indicate a chaotic dynamics of the order parameter and conformation potential of the channel protein with positive Lyapunov indices. By integration in the time interval between the "jumps" of ions through energy barriers of the channel protein, a mapping was obtained that also results in chaotic solutions realized in experiments. Basic kinetic characteristics of ionic channels for the mapping were obtained: the probability for the channel to be in the open state, P0, and the mean duration of a pack of current pulses depending on controlling parameters. Algorithms for constructing bifurcation diagrams with the transition to chaos and for determining Lyapunov indices and Kholmogorov entropy, pulsation spectra, and other parameters of chaotic dymanics were developed.     

银鱼的产量能预报吗

将离散Ｌogistic模型应用于银鱼种群数量变动研究,通过对滇池等４个典型湖泊或水库的银鱼年产量变动的初步分析和模拟,发现现的有的湖泊或水库银鱼产量的参数值都落入了混沌区间,在自然生态系统中找到了混沌行为的证据。同时指出：（１）混沌行为使银鱼产量长期预报不可能实现,只有短期预报才能保证必要的精度。（２）严格控制捕劳对尚未繁殖的亲鱼的影响,保留足够的繁殖亲鱼,才能保证资源的持续利用。另一方面,如谷获得相对稳定的产量,可能控制捕捞死亡率Ｆ来改变增增长率参数μ,防止银鱼产量剧烈波动。（３）水域污染和其他破坏水域饵料生物种群结构的因素能导致银鱼的内禀自然增长率γ值和最大种群数量Ｎmax发生变化,从而引起种群的数量变动。     

Parameter Estimation of Fractional-Order Chaotic Systems by Using Quantum Parallel Particle Swarm Optimization Algorithm

Parameter estimation for fractional-order chaotic systems is an important issue in fractional-order chaotic control and synchronization and could be essentially formulated as a multidimensional optimization problem. A novel algorithm called quantum parallel particle swarm optimization (QPPSO) is proposed to solve the parameter estimation for fractional-order chaotic systems. The parallel characteristic of quantum computing is used in QPPSO. This characteristic increases the calculation of each generation exponentially. The behavior of particles in quantum space is restrained by the quantum evolution equation, which consists of the current rotation angle, individual optimal quantum rotation angle, and global optimal quantum rotation angle. Numerical simulation based on several typical fractional-order systems and comparisons with some typical existing algorithms show the effectiveness and efficiency of the proposed algorithm.