一类具有脉冲和食饵具有阶段结构的时滞捕食模型的定性分析

讨论了与害虫治理相关的一类食饵具有阶段结构和时滞的捕食模型,并对其动力学性质进行了分析.证明了系统所有的解是一致完全有界的,并且得到了害虫灭绝周期解的全局吸引和系统永久持续生存的充分条件.     

带脉冲的多时滞高阶线性泛函微分方程的振动性和渐近性(英文)

研究了一类带脉冲的高阶线性泛函微分方程,建立了无脉冲的微分方程的振动性和渐近性的比较原理,在此比较原理下得到了带脉冲的高阶线性泛函微分方程一些有用结论,通过寻找适当的脉冲函数可保证方程解的振动性和渐近性.最后通过实例验证了相关结论.     

Electrophysiological characteristics of tension receptors in the abomasal antrum of sheep

Unitary impulse activity from tension receptors in the abomasal antrum in sheep anaesthetized with chloralose was studied with concurrent measurements of isometric tension in the antral wall, intraluminal pressures and electromyography (EMG). Rhythmical background activity had a close correlation with intraluminal pressure changes and usually a close correlation with local increases in EMG activity and isometric tension. Impulse frequencies increased, but were not sustained, following changes from isotonic to isometric conditions. Tension receptors were excited by transmural compression, by antral distension and by local intra-arterial injections of acetylcholine (2.5–25 µg), pentagastrin (10–20 µg), 5-hydroxytryptamine (1–20 µg), adrenaline (10 µg) cholecystokinin-8 (1–5 µg) or bradykinin (0.5–20 µg), and by systemic injections of bethanecol (5–1000 µg). Local intra-arterial perfusions of atropine (50 µg) and hexamethonium (100 µg) did not abolish spontaneous antral movements or affect the enhanced impulse activity evoked by acetylcholine or 5-hydroxytryptamine. Most antral tension receptors were excited by increases in antral tension or passive distension; they therefore functioned in series with the muscularis externa. The discharges of three tension receptors were off-loaded early during the contraction evoked by local injections of pentagastrin (10–20 µg).Abbreviations b-t balloon-tipped - EMG electromyography - IMP impulse - TTL transistor-transistor logic On study leave from University of Massey, Palmerston North, New Zealand     

一类线性脉冲微分方程的有界变差解

讨论了一类非齐次线性脉冲微分方程与Kurzweil广义线性常微分方程的关系,建立了此类方程有界变差解的局部存在性和唯一性定理,并利用常数变易法得到其通解公式,讨论了此类方程的有界变差解对参数的连续依赖性定理.     

带强迫项的脉冲泛函微分方程的振动性

研究了一阶带强迫项脉冲泛函微分方程的振动性,得到方程的解具有振动性的充分条件,并找到在适当的脉冲控制下,方程的所有解都是振动的．     

一类基于综合害虫管理策略的捕食系统的动力学性质

基于综合害虫管理策略,提出了一类食饵具有阶段结构和时滞的捕食模型,并对其动力学性质进行了分析．证明了系统所有的正解是一致完全有界的,得到了害虫灭绝周期解的全局吸引和系统持续生存的充分条件．     

具有时滞和脉冲的离散神经网络的稳定性

讨论了一类具有时滞和脉冲的离散神经网络,通过利用Razumikhin定理和线性矩阵不等式的性质,获得了模型指数稳定的新的充分条件,推广和改进了已有的相关结果．     

混杂型离散时间脉冲时滞Hopfield神经网络的多稳定性分析

研究一类混杂型离散时间脉冲时滞Hopfield神经网络的多稳定性问题。首先, 运用Brouwer不动点定理, 证明所考虑的脉冲时滞神经网络具有多个平衡点。然后, 引入Lyapunov函数, 运用不等式分析技术, 建立脉冲离散时滞Hopfield神经网络多稳定性判别准则, 并给出平衡点吸引域的估计。最后, 通过数值实例仿真验证结果的有效性。