含三种群的植物病虫害模型的稳定性

考虑植物、害虫和害虫天敌三种群之间的关系,在人工喷洒杀虫剂作用下,建立一类新的三种群的植物病虫害模型.给出了模型无天敌病虫害平衡点和有天敌病虫害平衡点,利用Hurwitz定理和稳定性第一近似方法讨论了平衡点的稳定性,得到了两类平衡点渐近稳定的充分条件,并用Matlab进行了数值模拟,验证了结论的正确性.     

一类捕食者具有阶段结构的捕食系统的全局稳定性分析

本文建立了一类捕食者具有阶段结构的捕食系统,计算得到了不存在食饵种群时捕食者种群模型和食饵种群存在时捕食系统的平衡点,并证明了平衡点的存在性.分析和比较了两个模型平衡点的全局稳定性,最终确定了决定模型全局稳定性的捕食者种群基本再生数、食饵灭绝与否的捕食率阈值以及捕食存在时食饵种群的净增长率.     

具阶段结构及比率依赖型捕食系统的Hopf分支与稳定性

本文研究了一类食饵具有阶段结构的比率依赖型捕食模型的稳定性和Hopf分支的存在性问题.通过分析相应的特征方程,得到了平衡点局部稳定的充分条件,并指出当时滞穿过某特定值时正平衡点出现Hopf分支.利用比较定理与迭代方法证明了正平衡点的全局渐近稳定性,得到正平衡点全局渐近稳定的充分条件.最后,举例说明所得结果的可行性.     

具有连续接种和脉冲接种的SIVR模型研究

考虑了具有连续接种和脉冲接种的SIVR传染病模型,得到了模型的基本再生数.对于连续接种模型,证明了当基本再生数R_0~c≤1时无病平衡点是全局稳定的;当R_0~c1时,无病平衡点是不稳定的,模型存在地方病平衡点,并且当δ=0时,地方病平衡点是全局渐近稳定的.对于脉冲接种模型,得到了无病周期解的存在性和稳定性.最后,对连续接种和脉冲接种进行了比较.     

一类具有潜伏期的传染病模型的稳定性研究

研究了一类潜伏期和感染期均有传染力的SEIQR模型,借助于轨道稳定性,Jacobian矩阵等方法,得到了疾病消亡的阈值——基本再生数R_0,通过构造Lyapunov函数,证明了无病平衡点及地方病平衡点的存在性及全局稳定性.     

一类具有时滞的强身型捕食模型的稳定性与Hopf分支

研究一类具有时滞和阶段结构的捕食模型.分析了正平衡点的稳定性和Hopf分支的存在性.应用中心流形定理和规范型理论,得到了确定Hopf分支方向和分支周期解稳定性的计算公式.     

一类具有隔离干预的非线性传染率的传染病模型的全局稳定性分析(英文)

研究一类具有隔离干预的非线性传染率的SIQR传染病模型的全局稳定性,得到了阈值R及无病平衡点和地方病平衡点的存在的条件,并利用构造李雅普诺夫函数证明无病平衡点和地方病平衡点的全局稳定性.     

一类食饵具有常数收获率和Holling Ⅲ型功能性反应的捕食者-食饵模型的定性分析

本文对捕食者种群、食饵种群均在线性密度制约的条件下,食饵种群具有常数收获率的HollingⅢ型功能性反应模型进行定性分析,通过运用定性分析的方法和利用Dulac函数方法,分别讨论了模型正平衡点稳定性、极限环的存在性以及无穷远奇点的稳定性,得到了正平衡点存在的条件和在其周围不存在极限环的条件,以及无穷远点的性态,并给出了模型轨线的全局结构图.最后,对该模型作了数值的仿真模拟验证.     

一类具有隔离干预和可分离广义传染率的SIQRS传染病模型的全局稳定性分析(英文)

研究一类具有隔离干预和可分离广义传染率的SIQRS传染病模型的全局稳定性,得到了阈值R及无病平衡点和地方病平衡点的存在的条件,并利用构造李雅普诺夫函数证明无病平衡点和地方病平衡点的全局稳定性.     

一类具有HollingⅡ反应的害虫治理的Filippov模型的研究

首先,在不采取综合害虫治理策略的情况下,本文给出一个具有HollingⅡ反应的害虫模型的正平衡点的存在条件和正平衡点的全局稳定性条件;其次,把害虫种群数量作为害虫综合控制的指标,利用阈值控制策略建立了一个具有HollingⅡ反应的害虫治理的Filippov模型,并系统地对该模型的动力学性质进行分析,其中包括模型的滑线区域,真、假平衡点及伪平衡点的存在性和稳定性.     

Investigation of the mechanism of temperature sensitivity of the electroreceptors of ampullae of lorenzini

In experiments on Black Sea skates (Raja clavata), the potential of the receptor epithelium of the ampullae of Lorenzini and spike activity of single nerve fibers connected to them were investigated during electrical and temperature stimulation. Usually the potential within the canal was between 0 and –2 mV, and the input resistance of the ampulla 250–400 k. Heating of the region of the receptor epithelium was accompanied by a negative wave of potential, an increase in input resistance, and inhibition of spike activity. With worsening of the animal's condition the transepithelial potential became positive (up to +10 mV) but the input resistance of the ampulla during stimulation with a positive current was nonlinear in some cases: a regenerative spike of positive polarity appeared in the channel. During heating, the spike response was sometimes reversed in sign. It is suggested that fluctuations of the transepithelial potential and spike responses to temperature stimulation reflect changes in the potential difference on the basal membrane of the receptor cells, which is described by a relationship of the Nernst's or Goldman's equation type.I. P. Pavlov Institute of Physiology, Academy of Sciences of the USSR, Leningrad. I. M. Sechenov, Institute of Evolutionary Physiology and Biochemistry, Academy of Sciences of the USSR, Leningrad. Pacific Institute of Oceanology, Far Eastern Scientific Center, Academy of Sciences of the USSR, Vladivostok. Translated from Neirofiziologiya, Vol. 12, No. 1, pp. 67–74, January–February, 1980.     

Determination of stoichiometry of radioiodination of proteins

A sensitive method for the detection of small quantities of hydrophobic antioxidant free radical scavengers such as butylatedhydroxytoluene (BHT) and butylatedhydroxyanisole (BHA) in aqueous samples is described. The procedure involves extraction of the hydrophobic free radical scavenger into an organic solvent phase, followed by the subsequent reaction of an aliquot of this extract with the stable cation radical tris(p-bromophenyl)amminium hexachloroantimonate (TBACA). In experiments with BHT and BHA, the loss of TBACA absorbance at 730 nm was found to be linearly proportional to the amount of antioxidant added, with quantities of BHT as small as 200 pmol being easily detectable. In aqueous suspensions of dimyristoylphosphatidylcholine vesicles, assays of the aqueous BHT concentration showed that BHT partitioned strongly into the membrane phase, achieving very high BHT/phospholipid ratios. For a given concentration of BHT, partitioning into the membrane phase was greater in large, multilamellar liposomes than in either small, single-walled vesicles or in purified rat brain synaptic vesicle membranes. Direct assay of BHT and BHA in phospholipid membranes, however, was complicated by a nonspecific interaction between TBACA and the phospholipid.