具有时滞响应的择好期权定价

假设市场是完备的,在文中使用了计价单位变换,等价鞅测度理论和无套利原理研究了股票价格具有时滞的欧式择好期权,得到了欧式择好期权的定价公式和对冲交易策略.     

一个具有Beddington—DeAngelis功能反应的离散捕食者-食饵系统的持久性

研究一类具有时滞和Beddington—DeAngelis功能反应的离散捕食者一食饵系统,利用差分方程的不等式理论证明了在一定条件下该系统是持久的,所得结果表明时滞对该系统的持久性没有影响．     

宿主细胞磷酸激酶在新城疫病毒感染中的作用

为探讨磷酸化通路在新城疫病毒（Newcastle disease virus,NDV）感染中的作用,使用多种蛋白磷酸激酶抑制剂和激活剂预处理细胞,比较处理后NDV在细胞上生长状况的差异。结果显示NDV在PKC蛋白激酶抑制剂处理的细胞上的生长受到抑制,这种抑制作用能够被PKC蛋白激酶激活剂中和,而PKA蛋白激酶抑制剂和p38MAPK蛋白激酶抑制剂对其影响不大。通过PKC蛋白激酶抑制剂的细胞毒性试验证实,这种抑制作用不是由于药物对细胞的毒性或者因药物加入而改变培养基pH值而造成的。病毒在staurosporine处理的细胞上的生长曲线试验显示,浓度在20~200 nmol/L能对病毒感染产生抑制作用,并且药物浓度越高,上清中病毒的滴度相对越低。本研究结果表明PKC磷酸化通路在新城疫病毒的感染过程中发挥了重要作用。     

一类具有分布时滞和隔离的传染病模型

讨论了一类具有隔离和分布时滞的传染病模型.假设出生率为常数,通过分析讨论,得到了地方病平衡点存在的阈值条件,及平衡点稳定和一致持续生存的充分条件.     

非线性中立双曲型泛函偏微分方程系统的振动准则

考虑一类非线性中立双曲型时滞偏微分方程系统解的振动性.利用空间平均法和泛函微分方程的某些结果,获得了该类系统振动的若干充分条件.结果表明振动是由时滞量引起的.     

一类具有时滞和阶段结构的捕食模型及其Hopf分支

研究一类具有时滞、阶段结构和HollingII型功能性反应的捕食模型的稳定性和Hopf分支．以滞量为参数,得到了系统正平衡点的稳定性和局部Hopf分支存在的充分条件．利用规范型和中心流形定理,给出了确定Hopf分支方向和分支周期解的稳定性的计算公式．     

Response of snails and slugs to fragmentation of lowland forests in NW Germany

Habitat fragmentation is a major cause for species loss, but its effect on invertebrates with low active dispersal power, like terrestrial gastropods, has rarely been studied. Such species can not cross a hostile habitat matrix, for which the predictions of island theory, such as positive relations between species richness and patch size, should apply. In order to test this prediction, we studied gastropod species diversity by assessing gastropod assemblage characteristics from 35 sites in 19 fragments of deciduous old-growth forests in the Lower Rhine Embayment, Germany. Assemblages differed between larger (≥700 ha) and smaller forests (<400 ha), those of large forests held a higher percentage of forest species. Although α-diversity was similar between the two forest size classes, small forests often comprised matrix species, resulting in a higher β-diversity. Edge effects on the species richness of matrix species were noticeable up to 250 m into the forest. Hierarchical partitioning revealed that distance to disturbances (external edge, internal edges like roads) explained most assemblage variables, whereas forest size and woodland cover within a 1 km radius from the sites explained only a few assemblage variables. Densities of two forest-associated species, Discus rotundatus and Arion fuscus, decreased with forest size. Yet, forest size was positively correlated with richness of typical forest species and densities of Limax cinereoniger. The latter species seems to need forests of >1,000 ha, i.e., well above the size of most fragments. In conclusion, the prediction is valid only for forest species. The response to fragmentation is species specific and seems to depend on habitat specialization and macroclimatic conditions. Jean-Pierre Maelfait: Deceased.     

无穷时滞泛函微分方程解的完全全局稳定性

建立了无穷时滞泛函微分方程完全有界性与完全全局渐近稳定性的概念及基本定理。     

Developmental horizons in the pre‐natal development of the Greater cane rat (Thryonomys swinderianus)

The Greater cane rat (GCR, Thyronomys swinderianus) is a precocial rodent predominantly found within Africa. Economic and scientific interests have led to several research efforts towards the domestication and better understanding of the biology and development of this rodent. Despite these efforts, information on the pre‐natal development of this rodent is currently lacking. This study characterises distinct developmental milestones including skin pigmentation, emergence and distributions of hairs, calvarium consistency, teeth eruption, development of appendages, sensory organs and external genitalia in the pre‐natal GCR and assesses quantitative body parameters, that is body weight, body and crown–rump lengths across its entire gestation length (gestation days [GDs] 10‐140). Using these external features, we provide baseline reference ontogenetic scales for GCR embryos and fetuses, employable for stage, age and sex estimation of the pre‐natal GCR in future studies. We observed that the first evidence of an embryo was not seen before the end of the first trimester (GD50) and that the late second trimester (GD80‐GD100) marks the transition from embryogenesis to fetogenesis in the GCR. As both events occur at a much later developmental time point when compared to precocial non‐rodents including human, sheep and pig and slightly later when compared to other precocial rodents such as guinea pig, our data provide first indication that the pre‐natal GCR development might be associated with a reproductive delay. Together, this study expands our knowledge of the development and biology of the GCR, which will improve reproductive and breeding management, and native species conservation of this hystricomorph mammal.