研究脉冲竞争系统周期解新的单调迭代方法(英文)

文章研究了一类正常细胞和癌细胞相互作用的竞争系统周期解的存在性.数学模型包括竞争型的Lotka-Volterra方程组与描述周期性化疗的脉冲条件.文章建立了一类新的单调迭代方法,该方法是构造性的,周期解可以由一个线性迭代过程得到,每一步迭代只需求解一个脉冲微分方程初值问题.文章获得了系统至少存在一个严格正的周期解的充分条件.     

一类具有时滞的脉冲周期捕捞系统正周期解的存在性（英文）

研究一类带时滞的脉冲周期捕捞的正周期解的存在性,利用Gaines与Mawhin的迭合度理论中的连续定理,以及一些先验估计,得到了所研究的系统至少存在一个正周期解的充分条件.     

资源与资源利用者的脉冲收获控制

研究一类资源以Cui-Lawson增长为基础的具有状态依赖脉冲收获的生态系统.首先对无脉冲作用的系统进行定性分析,得到正平衡点存在和稳定的充分条件.其次对具有状态依赖的脉冲系统,利用微分方程几何理论中后续函数法得到系统的阶一周期解存在的充分条件,证明该周期解是轨道渐近稳定的,同时利用数值模拟讨论了系统生态意义.     

具有脉冲时滞效应两食饵-捕食者Watt型功能反应系统分析

这篇文章应用系统生态数学研究了具有脉冲时滞效应两食饵一捕食者Watt型功能反应的模型.通过应用脉冲方程理论,脉冲比较原理以及一些条件得到了捕食者灭绝周期解存在和全局吸引.然后证明了周期解的持久性而且在该条件下系统至少有一个周期解.     

具周期脉冲的周期差分系统的全局性态

本文建立了具有常数脉冲和周期脉冲的周期差分系统,得到了常数脉冲系统全局稳定周期解存在的充分条件,并证明了周期脉冲的周期系统的周期解是全局吸引的。     

具有第Ⅳ类功能性反应脉冲捕食-食饵扩散系统正周期解的存在性

本文利用重合度理论,考虑了具有第四类功能性反应脉冲捕食-食饵扩散系统,得到了该系统存在正周期解的充分条件.推广和改进了已有文献中的结果.     

一类高维脉冲泛函微分方程周期解的存在性(英文)

使用Leray-Schauder不动点定理研究一类高维脉冲泛函微分方程的正周期解的存在性,获得了该类方程存在正周期解的充分条件,改进了已知文献中的结果.     

带脉冲输入和Beddington-DeAngelis功能反应时滞恒化器模型的动力学分析（英文）

本文研究了一类带时滞、周期脉冲输入营养液的恒化器模型.我们得到了存在一个全局吸引的微生物灭绝周期解;同时给出了带时滞和脉冲输入系统持续生存的充分条件.我们表明了脉冲效应破坏了连续系统的平衡点产生了周期解,本文结论可用于微生物的培养.     

食饵具有周期强迫的捕食模型

建立并研究了一类具有周期强迫和脉冲扰动的捕食模型,通过理论分析和数值模拟,得到了食饵灭绝周期解全局渐近稳定和系统持久的充分条件,利用分支理论证明了边界周期解附近会分支出正周期解.     

一类二阶具功能性反应的食饵——捕食系统的脉冲控制

研究了具有脉冲作用和功能反应的二阶食饵一捕食系统.利用脉冲微分方程的F1quet乘子理论、比较定理等方法,证明了当脉冲周期小于某个临界值时,系统存在一个全局渐进稳定的害虫灭绝周期解,并说明了系统的解是一致最终有界的.     

Impulsive Choice Predicts Poor Working Memory in Male Rats

A number of maladaptive behaviors and poor health outcomes (e.g., substance abuse, obesity) correlate with impulsive choice, which describes the tendency to prefer smaller, immediate rewards in lieu of larger, delayed rewards. Working memory deficits are often reported in those diagnosed with the same maladaptive behaviors. Human studies suggest that impulsive choice is associated with working memory ability but, to date, only one study has explored the association between working memory and impulsive choice in rats and no relation was reported. The current study reevaluated the association between working memory and impulsive choice in 19 male Long-Evans rats. Psychophysical adjusting procedures were used to quantify working memory (titrating-delay match-to-position procedure) and impulsive choice (adjusting delay procedure). Rats were partitioned into low- and high-impulsive groups based on performance in the impulsive choice task. Low-impulsive rats performed significantly better in the working memory assessment. Across all rats, impulsive choice was negatively correlated with working memory performance. These findings support the hypothesis that prefrontal cortex function, specifically, working memory, is related to impulsive choice. Future research might profitably examine the experimental variables designed to influence working memory to evaluate the effects of these variables on impulsive choice and maladaptive behaviors with which it is correlated.     

Cannabinoid CB1 receptor activation mediates the opposing effects of amphetamine on impulsive action and impulsive choice

It is well known that acute challenges with psychostimulants such as amphetamine affect impulsive behavior. We here studied the pharmacology underlying the effects of amphetamine in two rat models of impulsivity, the 5-choice serial reaction time task (5-CSRTT) and the delayed reward task (DRT), providing measures of inhibitory control, an aspect of impulsive action, and impulsive choice, respectively. We focused on the role of cannabinoid CB1 receptor activation in amphetamine-induced impulsivity as there is evidence that acute challenges with psychostimulants activate the endogenous cannabinoid system, and CB1 receptor activity modulates impulsivity in both rodents and humans. Results showed that pretreatment with either the CB1 receptor antagonist/inverse agonist SR141716A or the neutral CB1 receptor antagonist O-2050 dose-dependently improved baseline inhibitory control in the 5-CSRTT. Moreover, both compounds similarly attenuated amphetamine-induced inhibitory control deficits, suggesting that CB1 receptor activation by endogenously released cannabinoids mediates this aspect of impulsive action. Direct CB1 receptor activation by Δ9-Tetrahydrocannabinol (Δ9-THC) did, however, not affect inhibitory control. Although neither SR141716A nor O-2050 affected baseline impulsive choice in the DRT, both ligands completely prevented amphetamine-induced reductions in impulsive decision making, indicating that CB1 receptor activity may decrease this form of impulsivity. Indeed, acute Δ9-THC was found to reduce impulsive choice in a CB1 receptor-dependent way. Together, these results indicate an important, though complex role for cannabinoid CB1 receptor activity in the regulation of impulsive action and impulsive choice as well as the opposite effects amphetamine has on both forms of impulsive behavior.     

一类带Monod增长率及脉冲状态反馈控制的微生物杀虫剂模型的周期解

研究了一类带Monod增长率及脉冲状态反馈控制的微生物杀虫剂模型．证明了无脉冲系统的负向全局渐近稳定性及带有脉冲状态反馈控制系统具有阶一周期解,并且给出阶一周期解存在和稳定的充分条件．数值模拟验证了理论结果．     

Impulsive Pressurization of Neuronal Cells for Traumatic Brain Injury Study

A novel impulsive cell pressurization experiment has been developed using a Kolsky bar device to investigate blast-induced traumatic brain injury (TBI). We demonstrate in this video article how blast TBI-relevant impulsive pressurization is applied to the neuronal cells in vitro. This is achieved by using well-controlled pressure pulse created by a specialized Kolsky bar device, with complete pressure history within the cell pressurization chamber recorded. Pressurized neuronal cells are inspected immediately after pressurization, or further incubated to examine the long-term effects of impulsive pressurization on neurite/axonal outgrowth, neuronal gene expression, apoptosis, etc. We observed that impulsive pressurization at about 2 MPa induces distinct neurite loss relative to unpressurized cells. Our technique provides a novel method to investigate the molecular/cellular mechanisms of blast TBI, via impulsive pressurization of brain cells at well-controlled pressure magnitude and duration.     

Periodic solution of a chemostat model with Beddington-DeAnglis uptake function and impulsive state feedback control

In this paper, a chemostat model with Beddington-DeAnglis uptake function and impulsive state feedback control is considered. We obtain sufficient conditions of the global asymptotical stability of the system without impulsive state feedback control. We also obtain that the system with impulsive state feedback control has periodic solution of order one. Sufficient conditions for existence and stability of periodic solution of order one are given. In some cases, it is possible that the system exists periodic solution of order two. Our results show that the control measure is effective and reliable.     

The relationship between impulsive choice and impulsive action: a cross-species translational study

Maladaptive impulsivity is a core symptom in various psychiatric disorders. However, there is only limited evidence available on whether different measures of impulsivity represent largely unrelated aspects or a unitary construct. In a cross-species translational study, thirty rats were trained in impulsive choice (delayed reward task) and impulsive action (five-choice serial reaction time task) paradigms. The correlation between those measures was assessed during baseline performance and after pharmacological manipulations with the psychostimulant amphetamine and the norepinephrine reuptake inhibitor atomoxetine. In parallel, to validate the animal data, 101 human subjects performed analogous measures of impulsive choice (delay discounting task, DDT) and impulsive action (immediate and delayed memory task, IMT/DMT). Moreover, all subjects completed the Stop Signal Task (SST, as an additional measure of impulsive action) and filled out the Barratt impulsiveness scale (BIS-11). Correlations between DDT and IMT/DMT were determined and a principal component analysis was performed on all human measures of impulsivity. In both rats and humans measures of impulsive choice and impulsive action did not correlate. In rats the within-subject pharmacological effects of amphetamine and atomoxetine did not correlate between tasks, suggesting distinct underlying neural correlates. Furthermore, in humans, principal component analysis identified three independent factors: (1) self-reported impulsivity (BIS-11); (2) impulsive action (IMT/DMT and SST); (3) impulsive choice (DDT). This is the first study directly comparing aspects of impulsivity using a cross-species translational approach. The present data reveal the non-unitary nature of impulsivity on a behavioral and pharmacological level. Collectively, this warrants a stronger focus on the relative contribution of distinct forms of impulsivity in psychopathology.     

基于脉冲扰动作用下的一个捕食者-食饵模型的动力学性质

基于害虫的生物控制和化学控制策略,考虑到化学杀虫剂对天敌的影响,利用脉冲微分方程建立了在不同的固定时刻分别喷洒杀虫剂和释放天敌的具有依氏(Ivlev)功能性反应的捕食者-食饵脉冲动力系统．证明了当脉冲周期小于某个临界值时,系统存在一个渐近稳定的害虫根除周期解,否则系统是持续生存的．通过分析表明如果采取有效的化学控制策略,那么这种综害虫合控制策略更有效．     

Extinction and permanence of one-prey multi-predators of Holling type II function response system with impulsive biological control

In this paper, one investigates the dynamic behaviors of one-prey multi-predator model with Holling type II functional response by introducing impulsive biological control strategy (periodic releasing natural enemies at different fixed time). By using Floquet theorem and small amplitude perturbation method, it is proved that there exists an asymptotically stable pest-eradication periodic solution when the impulsive period is less than some critical value and permanence condition is established via the method of comparison involving multiple Liapunov functions. It is shown that multi-predator impulsive control strategy is more effective than the classical and single one.     

一类具有两次脉冲和非线性传染率的害虫管理SI模型的灭绝性与持久性

讨论了一类在两个不同固定时刻分别释放染病害虫和喷洒农药且具有HollingⅡ类传染率的SI模型.通过脉冲微分方程的Floquet理论和小幅扰动技巧,证明了当释放的染病害虫数量超过某个临界值时,系统存在一个渐进稳定的易感害虫根除周期解,否则系统是持续生存的.通过数值模拟,验证了所得结论的正确性及系统动力学行为的复杂性,分析说明了所提出的脉冲控制策略的有效性.