具有分离扩散的两种群Lotka—Volterra模型的持久性

本文考虑具有分离扩散的捕食-被捕食系统的持续性。此模型由两种群组成,其中被捕食种群可在两个生态环境中生存,而捕食种群仅能在一个生态环境中生存,两种群的动态行为都用Lotka－Volterra模型来描述。得到了系统强持续的充分必要条件,并证明了无论无扩散时系统是共存的,还是主导的都可以适当选择分离扩散系数使整个系统强持续。     

关于一类污染治理的单种群模型的数学研究

以脉冲微分方程为基础,建立了一类污染环境中在固定时刻对污染进行治理的具有时滞效应的单种群阶段结构模型.详细研究了该模型的动力学性质,给出了种群灭绝和持续生存的充分条件,并进一步研究了污染治理和时滞效应对种群灭绝的影响.本文具有很强的生物意义,为环境污染治理问题提供了可靠的依据.     

Attached and Free Bacteria in an Estuary with Abundant Suspended Solids

Concentrations and glucose mineralization potentials ( V _max) of attached and free bacteria in waters from the Humber estuary were determined. The waters had high concentrations of suspended solids. Most bacteria were attached to suspended solids and V _max of attached bacteria was greater than that of free bacteria. These observations suggest that breakdown of organic matter is carried out mainly by attached bacteria. Examination of samples from other estuaries which contained less suspended solids than the Humber suggested that in these estuaries free bacteria might be more abundant than attached bacteria.     

一类具有时空时滞的单种群模型行波解的存在性

通过单调迭代和上下解技术,研究了一类具有时空时滞的单物种种群模型行波解的存在性,证明了当时滞充分小时,方程具有连接两个平衡点的波前解,并得到了一些新的结果.     

Persistence of Streptococcus mutans in Stationary-Phase Batch Cultures and Biofilms

Streptococcus mutans is a member of oral plaque biofilms and is considered the major etiological agent of dental caries. We have characterized the survival of S. mutans strain UA159 in both batch cultures and biofilms. Bacteria grown in batch cultures in a chemically defined medium, FMC, containing an excess of glucose or sucrose caused the pH to decrease to 4.0 at the entry into stationary phase, and they survived for about 3 days. Survival was extended up to 11 days when the medium contained a limiting concentration of glucose or sucrose that was depleted by the time the bacteria reached stationary phase. Sugar-limited cultures maintained a pH of 7.0 throughout stationary phase. Their survival was shortened to 3 days by the addition of exogenous lactic acid at the entry into stationary phase. Sugar starvation did not lead to comparable survival in biofilms. Although the pH remained at 7.0, bacteria could no longer be cultured from biofilms 4 days after the imposition of glucose or sucrose starvation; BacLight staining results did not agree with survival results based on culturability. In both batch cultures and biofilms, survival could be extended by the addition of 0.5% mucin to the medium. Batch survival increased to an average of 26 (±8) days, and an average of 2.7 × 10⁵ CFU per chamber were still present in biofilms that were starved of sucrose for 12 days.     

一个单种群时滞微分方程模型的全局吸引性

研究了一个单种群时滞微分方程模型,给出了其平衡点吸引其正解得充分条件,应用本文结论对于两个例子进行讨论,得到其平衡点全局吸引性的新结果。     

Population Diversification in Staphylococcus aureus Biofilms May Promote Dissemination and Persistence

The biofilm mode of growth can lead to diversification of the bacterial population by promoting the emergence of variants. Here we report the identification and characterization of two major subpopulations of morphological variants arising in biofilms of S. aureus. One of these lacked pigmentation (termed white variants; WVs), whilst the other formed colonies on agar that were larger and paler than the parental strain (termed large pale variants; LPVs). WVs were unable to form biofilms, and exhibited increased proteolysis and haemolysis; all phenotypes attributable to loss-of-function mutations identified in the gene encoding the alternative sigma factor, sigB. For LPVs, no differences in biofilm forming capacity or proteolysis were observed compared with the parental strain. Genetic analysis of LPVs revealed that they had undergone mutation in the accessory gene regulator system (agrA), and deficiency in agr was confirmed by demonstrating loss of both colony spreading and haemolytic activity. The observation that S. aureus biofilms elaborate large subpopulations of sigB and agr mutants, both genotypes that have independently been shown to be of importance in staphylococcal disease, has implications for our understanding of staphylococcal infections involving a biofilm component.     

The Occurrence and Persistence of Mixed Biofilms in Automobile Air Conditioning Systems

Twelve automobile air conditioner systems from six manufacturers and three countries, selected mostly because of complaints of unpleasant odors in the passenger compartment, were examined for microbial growth by direct microscopy and enrichment culture. Mixed populations of fungi and bacteria (with occasional protozoa) were observed in biofilms in at least some of the components from all used units. The aluminum heat exchanger fins from ten evaporators demonstrated bacterial biofilms that yielded Methylobacterium mesophilicum. Penicillium viridicatum colonized components from four units. These bacteria and fungi were recoverable repeatedly from these units during ‘dry’ storage of up to 27 months. This report associates a bacterial-fungal community with disagreeable air quality in some automobiles. Received: 24 March 1999 / Accepted: 13 April 1999     

一个具有年龄结构的单种群离散反应扩散模型的波前解

利用上下解方法研究了一个具有年龄结构的单种群离散反应扩散模型波前解的存在性,并证明了存在具有临界波速的波前解.     

离散型单种群扩散模型的全局渐近稳定性

本文研究离散单种扩散模型全局渐近稳定性,利用单调算子和凹算子的理论讨论了其全局渐近稳定性,并得到了正平衡点全局渐的稳定和物种绝灭的充分条件。     

具反馈控制的两种群竞争系统的持续生存性与周期解

讨论了一类具反馈控制的两种群竞争模型,获得了其存在唯一,全局渐近稳定周期解的充分条件。     

Modeling Drosophila Positional Preferences in Open Field Arenas with Directional Persistence and Wall Attraction

In open field arenas, Drosophila adults exhibit a preference for arena boundaries over internal walls and open regions. Herein, we investigate the nature of this preference using phenomenological modeling of locomotion to determine whether local arena features and constraints on movement alone are sufficient to drive positional preferences within open field arenas of different shapes and with different internal features. Our model has two components: directional persistence and local wall force. In regions far away from walls, the trajectory is entirely characterized by a directional persistence probability, , for each movement defined by the step size, , and the turn angle, . In close proximity to walls, motion is computed from and a local attractive force which depends on the distance between the fly and points on the walls. The directional persistence probability was obtained experimentally from trajectories of wild type Drosophila in a circular open field arena and the wall force was computed to minimize the difference between the radial distributions from the model and Drosophila in the same circular arena. The two-component model for fly movement was challenged by comparing the positional preferences from the two-component model to wild type Drosophila in a variety of open field arenas. In most arenas there was a strong concordance between the two-component model and Drosophila. In more complex arenas, the model exhibits similar trends, but some significant differences were found. These differences suggest that there are emergent features within these complex arenas that have significance for the fly, such as potential shelter. Hence, the two-component model is an important step in defining how Drosophila interact with their environment.     

一类捕食者与被捕食者模型的持久性与稳定性

研究了一类捕食者与被捕食者模型,该生态系统是一个食饵种群被一个捕食种群捕食.当给定参数满足一定条件下,利用比较原理和构造Lyapunov函数的方法,证明了系统的持久性和全局渐近稳定性,并讨论了正平衡点的渐近稳定性.     

具有毒素影响的二维Kolmogorov模型的持续生存和绝灭

研究了具有毒素影响的二维Kolmogorov模型,给出了该系统持续生存与绝灭的充分条件.     

两毒素环境中具有分离扩散的种群动力系统的持久性

本文是文「５」在ｎ＝２时更进一步的讨论,模型由一个种群构成,此种群可在两个毒素环境中生存,且种群扩散仅与其所在自下而上环境中的（数量）密度决定,得到了比文「５」更精细的结论。     

具有时滞和反馈控制的非自治Schoner模型的持续生存与全局渐近稳定性

讨论了具有时滞和反馈控制的非自治Schoner模型,得到了系统一致持续生存和全局渐近稳定的充分条件．     

Autocatalytic replication in a CSTR and constant organization

 The dynamics of a network of autocatalytically replicating species in a continuously stirred tank reactor can be described by a replicator equation in the limit of small flux rates. Received: 9 November 1995 / Revised version: 29 May 1996     

污染环境中具有生育脉冲的单种群模型的最优捕获问题

研究周期性脉冲毒素输入的污染环境中具有生育脉冲的单种群捕获模型的动力学性质,通过数值模拟给出所研究系统的动力复杂性,并进一步指出脉冲捕获的时间对最大年度持续产量的影响.     

环境污染中三维时变Volterra捕食-被捕食系统的持续生存

对环境容量很大且被污染的三种群时变系统进行了研究,给出了三维时变Ｖｏｌｔｅｒｒａ捕食－被捕食系统弱平均持续生存与绝灭的充分条件。     

单资源中带有化感作用的两种浮游植物的动力学行为（英文）

讨论了带有化感作用机制的两种浮游植物的营养竞争模型,获得系统平衡点的存在性和稳定性条件.