一类动力系统的极限环及其数目和分布

用摄动增量法求解一类平面二次动力系统,指出系统在有限域内只有环绕原点的四个环,幅值较小的三个是极限环(分别是稳定、不稳定和稳定),较大的是同宿环;标出无切曲线,以及两条渐近曲线的近似位置;计算结果表明,摄动增量法的近似极限环与数值积分法吻合良好。由三个极限环的速率曲线无公共交点这一事实,进一步具体说明平面多项式微分系统极限环的数目(即Hilbter第16问题第二部分)不能简单地由代数方法解决。     

一类食饵具有线性投放率的稀疏效应捕食模型的定性分析

讨论了食饵带有线性投放率的稀疏效应捕食系统,利用定性理论分析了奇点的性态,得到了极限环的存在性和唯一性及系统全局渐近稳定的充分条件,反映出在一定条件下食饵捕食种群将趋于稳定.     

Biological characterization of the obligate symbiosis between Acropyga sauteri Forel (Hymenoptera: Formicidae) and Eumyrmococcus smithii Silvestri (Hemiptera: Pseudococcidae: Rhizoecinae) on Okinawa Island,southern Japan

The ant Acropyga sauteri Forel has an obligate, mutualistic symbiosis with a mealybug, Eumyrmococcus smithii Silvestri, on Okinawa Island, southern Japan. The mealybugs live inside ant nests nearly all their lives, and the ants depend on them for food. Alate foundress queens carry mealybugs during their nuptial flights, using them to establish new colonies at new sites. However, important aspects of the symbiosis have not yet been elucidated. The present study characterizes the basic biology of the symbiosis and describes for the first time the morphologies of all growth stages of E. smithii. Our study suggests that E. smithii has only one nymphal stage, followed by a female pupal stage or male prepupal stage. Intensive sampling of ant nests across seasons showed that A. sauteri prefers nest sites 5–20 cm underground. Acropyga sauteri produced reproductive stages mainly in mid‐March or early April, and numbers of both ant workers and mealybugs increased from spring to summer. Experimental determination of colony identity with a method using nestmate recognition by ants suggested that each ant colony rarely has a perimeter greater than 30 cm, that the ants are monogynous, and that different ant colonies are densely aggregated along the root system of a plant, adjacent to each other but not interflowing. Both symbiotic partners were vulnerable to attacks by several common subaerial ant species following physical disturbance to their nests.     

库容有限且有批量折扣的不允许缺货存贮模型

Ｗｉｌｓｏｎ公式隐含着用户仓库容量足够大，单价与订购批量无关的假设，这一假设往往与实际情况相悖。为此，本文提出了仓库容量有限且有批量折扣条件下不允许缺货存贮模型，并通过实例说明了模型的应用。     

论水资源学的科学体系

论述了水资源学的科学体系,包括研究对象、任务、内容和当前的研究重点.     

低浓度三分子模型的分歧问题

本文应用Hopf分岐理论,研究了低浓度三分子反应模型的分岐问题。     

一类三次Kolmogorov系统的定性分析

本文讨论了一类三次Kolmogorov系统(Ⅰ),在第一象限得到了可行平衡点的全局稳定性,正平衡点的全局稳定性以及围绕正平衡点极限环的存在性与唯一性。推广了[2]、[3]、[4]中的结论,并对所得结论给予了生物解释。     

关于卡诺循环的定义

本文对卡诺循环定义的提法作出讨论。     

绝热膨胀-放气回热式制冷循环及其热力学分析

本文提出一种新的闭式气体膨胀循环——绝热膨胀-放气回热式制冷循环,或者称改进型G-M循环,采用该循环的制冷机具有Gifford-McMahon(G-M)循环制冷机的结构简单、无维修运转周期长、振动较小等优点,而该循环的效率比G-M循环高。与G-M制冷机相类似,采用该循环的制冷机也可以做成多级。本文叙述了循环的工作过程,进行了循环的热力学分析及新循环与G-M循环的性能比较,得出了一些有益的结果。这些结果可供制冷机的设计和实验研究参考。