一类考虑收获的时滞捕食系统的稳定性与Hopf分支研究

给出了一类考虑收获的时滞捕食系统的局部稳定性判断,并由规范型理论和中心流形定理推导出了Hopf分支的方向、稳定性等条件,最后给出了两个数值模拟例子验证了结论的正确性.     

一类具有时滞的传染病模型的稳定性分析

研究了一类具有时滞的传染病生物模型．首先研究了该模型的线性稳定性,并给出了一列Hopf分支值,然后利用中心流形定理和正规型方法,给出了确定分支周期解的分支方向与稳定性的计算公式．     

熵理论在生态系统稳定性研究中的应用

本文从李亚普诺夫（Lyapounov）的稳定性原理出发,运用最小熵和超熵理论分析了线性非平衡态和远离平衡态生态系统的稳定性,并给出了相应的稳定性判据。以完善和促进生态系统稳定性研究的理论水平。     

一类周期种群系统的稳定性分析及最优控制问题

本文讨论了一类线性时变周期种群系统的稳定性和最优控制问题.利用Lyapunov函数.对系统的稳定性进行了分析.给出了系统稳定的充分条件.并且利用Banach空间理论,证明了最优收获控制的存在性和唯一性.并且给出了最优控制所满足的必要性条件.     

具有连续分布时滞神经网络的稳定性分析

本文研究具有连续分布时滞神经网络的平衡点的稳定性问题,利用构造Ｌｙａｐｕｎｏｖ泛函和不等式分析技巧,给出了具有连续分布时滞神经网络全局渐近稳定性的充分条件。     

一个多食性天敌与害虫系统的有界性和稳定性

本文讨论一个多食性天敌与害虫系统的有界性和稳定性，给出了该系统有界性和稳定性的充分条件，与之同时还阐述了它们的生态意义．     

湖滨湿地生态系统稳定性评价

根据生态系统稳定性的产生原因,将稳定性划分为系统整体稳定性和系统结构稳定性。从系统的稳定性出发,以生态系统的整体稳定性和结构稳定性两个方面为对象,对湖滨湿地生态恢复所产生的生态效益进行了研究。针对系统整体稳定性,给出了生物多样性指数、自然保护区比重和自然灾害等级3个评价指标,并介绍了相应的指标量化方法。与此同时结合能值理论,准确地分析了湖滨湿地生态系统的结构稳定性,为评价湖滨湿地生态恢复的生态效益评价提供了客观的标尺。     

一类BAM随机神经网络的稳定性

对于一类双向联想记忆（BAM）随机神经网络。研究其全局稳定性和指数稳定性,利用Schwarz积分不等式和Ito积分性质,给出其稳定性判定的充分性条件．     

三种竞争种群的古典Gause-Lotka-Volterra系统

本文讨论了三种竞争种群的古典GLV系统．对系统所有非负平衡点的稳定性,进行了分析,给出了正平衡点全局稳定的充分条件,应用Hopf分支定理,我们给出了系统具有分支值的充分条件．     

具有分布时滞传染病模型的渐近分析

本文讨论了具有一般分布函数（核）的微分方程传染病模型,给出了平衡点,讨论了稳定性,得到了阈值定理．     

Temporal stability vs. community matrix measures of stability and the role of weak interactions

Relationships between different measures of stability are not well understood in part because empiricists and theoreticians tend to measure different aspects and most studies only explore a single form of stability. Using time‐series data from experimental plankton communities, we compared temporal stability typically measured by empiricists (coefficient of variation in biomass) to stability measures typically measured by theoreticians derived from the community matrix (asymptotic resilience, initial resilience and intrinsic stochastic invariability) using first‐order multivariate autoregressive models (MAR). Community matrices were also used to derive estimates of interaction strengths between plankton groups. We found no relationship between temporal stability and stability measures derived from the community matrix. Weaker interaction strengths were generally associated with higher stability for community matrix measures of stability, but were not consistently associated with higher temporal stability. Temporal stability and stability measures derived from the community matrix stability appear to represent different aspects of stability reflecting the multi‐dimensionality of stability.     

南京市城乡梯度上景观变化的空间与数量稳定性

为揭示城市化过程中景观稳定性及其区位分异,本文在多时相Landsat TM遥感影像的支持下,应用Kappa指数方法对1988—2008年间南京市城乡梯度上景观要素(除丘陵山地及大规模水体外)的空间位置变化与数量变化进行了研究。结果表明:耕地的数量稳定性较高,但空间位置稳定性较低;而聚落用地空间位置稳定性较高,但数量稳定性却较低;水体的空间位置和数量稳定性都比较高;林地和其他用地的数量以及空间位置稳定性都比较低。在城乡梯度上,随着城市化程度增加,景观的空间位置稳定性呈上升趋势,而数量稳定性则表现出下降趋势。对于已完成城市化的中心城区,景观的数量稳定性迅速上升,其景观要素的组成和空间分布特征均趋于稳定。聚落用地和耕地的空间位置和数量稳定性在不同城乡梯度带间变化较大,而水体和林地的空间与数量稳定性受城市化过程影响较小。     

金融稳定性与生态稳定性

亚洲金融危机以后,世界各国评估和诊断金融体系稳健程度的实务性研究取得了很大进展,但金融稳定性问题的理论研究仍相对滞后.本文讨论了用生态稳定性思想方法研究金融稳定性问题.文章先比较了金融稳定性的概念和生态学中有关稳定性的概念的异同,把生态稳定性概念移植、引申到金融系统中,建立了金融群落数学模型,给出了金融群落金融稳定的定义,论证了金融种群确定模型和随机模型的稳定性,介绍了金融群落随机模型的稳定性,最后分析了金融群落等级结构的稳定性.     

Contrasting effects of diversity on the temporal stability of plant populations

Recent theoretical and empirical work suggests that diversity enhances the temporal stability of a community. However, the effect of diversity on the stability of the individual populations within the community remains unclear. Some models predict a decrease of population stability with diversity, whereas others suggest that diversity has a stabilizing effect on populations. Empirical evidence for either relationship between population stability and diversity is weak. The few studies that directly assessed the stability of populations reported contradicting results. We used a six-year data-set from a plant diversity experiment to examine the relationships between diversity and temporal stability of plant biomass. Our results show that stability increased with diversity at the community-level, while the stability of populations, averaged over all species, decreased with diversity. However, when examining species separately we found positive, negative and neutral relationships between population stability and diversity. Our findings suggest that diversity may contribute to the stability of ecosystem services at the community level, but the effect of diversity on the stability of the individual populations within the community are generally negative. However, different species within the community may show strikingly different relationships between diversity and stability.     

再论生物多样性与生态系统的稳定性

本文在简述生物多样性与生态系统稳定性研究动态的基础上,从生物多样性和稳定性的概念出发,指出忽视多样性和稳定性的生物组织层次可能是造成观点纷争的根源之一。特定生物组织层次的稳定性可能更多地与该层次的多样性特征相关,探讨多样性和稳定性的关系应从不同的生物组织层次上进行,抗动是生态系统多样性与稳定性关系悖论中的重要因子,如果根据扰动的性质,把生态系统（或其他组织层次）区分为受非正常外力干扰和受环境因子时间异质性波动干扰2类系统,稳定性的4个内涵可以理解为：对于受非正常外力干扰的系统而言,抵抗力和恢复力是稳定性适宜的测度指标;对于受环境因子时间异质性波动干扰和系统而言。利用持久性和变异性衡量系统的稳定性则更具实际意义。结合对群落和种群层次多样性与稳定性相关机制的初步讨论,本文认为;在特定的前提下,多样性可以导致稳定性。     

Global stability, local stability and permanence in model food webs

The dynamical theory of food webs has been based typically on local stability analysis. The relevance of local stability to food web properties has been questioned because local stability holds only in the immediate vicinity of the equilibrium and provides no information about the size of the basin of attraction. Local stability does not guarantee persistence of food webs in stochastic environments. Moreover, local stability excludes more complex dynamics such as periodic and chaotic behaviors, which may allow persistence. Global stability and permanence could be better criteria of community persistence. Our simulation analysis suggests that these three stability measures are qualitatively consistent in that all three predict decreasing stability with increasing complexity. Some new predictions on how stability depends on food web configurations are generated here: a consumer-victim link has a smaller effect on the probabilities of stability, as measured by all three stability criteria, than a pair of recipient-controlled and donor-controlled links; a recipient-controlled link has a larger effect on the probabilities of local stability and permanence than a donor-controlled link, while they have the same effect on the probability of global stability; food webs with equal proportions of donor-controlled and recipient-controlled links are less stable than those with different proportions.     

生态系统稳定性及其与生物多样性的关系

在全球变化背景下, 生态系统能否长期有效地维持功能并提供服务, 有赖于其稳定性。生态系统稳定性及其与生物多样性的关系, 是生态学研究的核心问题, 生物多样性能否促进生态系统稳定性曾引起很多争论。该文在前期国内外综述和研究的基础上, 重点从以下三个方面对近期进展做了总结。第一, 介绍了近期理论研究在生态系统稳定性的内涵及不同稳定性指标间的内在关联方面取得的新认识。第二, 梳理了最近基于生物多样性实验开展的多项整合分析研究和理论探索, 以及在多维度框架下开展的多样性-稳定性关系研究。第三, 详细介绍了最近发展起来的多尺度稳定性理论框架, 对稳定性的尺度依赖、多样性-稳定性的多尺度关系等新议题做了探讨。最后, 提出了本领域有待进一步研究的关键问题和方向建议。     

Stability and the evolvability of function in a model protein

Functional proteins must fold with some minimal stability to a structure that can perform a biochemical task. Here we use a simple model to investigate the relationship between the stability requirement and the capacity of a protein to evolve the function of binding to a ligand. Although our model contains no built-in tradeoff between stability and function, proteins evolved function more efficiently when the stability requirement was relaxed. Proteins with both high stability and high function evolved more efficiently when the stability requirement was gradually increased than when there was constant selection for high stability. These results show that in our model, the evolution of function is enhanced by allowing proteins to explore sequences corresponding to marginally stable structures, and that it is easier to improve stability while maintaining high function than to improve function while maintaining high stability. Our model also demonstrates that even in the absence of a fundamental biophysical tradeoff between stability and function, the speed with which function can evolve is limited by the stability requirement imposed on the protein.     

Stability of biocatalysts

Despite their many favorable qualities, the marginal stability of biocatalysts in many types of reaction media often has prevented or delayed their implementation for industrial-scale synthesis of fine chemicals and pharmaceuticals. Consequently, there is great interest in understanding effects of solution conditions on protein stability, as well as in developing strategies to improve protein stability in desired reaction media. Recent methods include novel chemical modifications of protein, lyophilization in the presence of additives, and physical immobilization on novel supports. Rational and combinatorial protein engineering techniques have been used to yield unmodified proteins with exceptionally improved stability. Both have been aided by the development of computational tools and structure-guided heuristics aimed at reducing library sizes that must be generated and screened to identify improved mutants. The number of parameters used to indicate protein stability can complicate discussions and investigations, and care should be taken to identify whether thermodynamic or kinetic stability limits the observed stability of proteins. Although the useful lifetime of a biocatalyst is dictated by its kinetic stability, only 6% of protein stability studies use kinetic stability measures. Clearly, more effort is needed to study how solution conditions impact protein kinetic stability.     

Nitrogen enrichment weakens ecosystem stability through decreased species asynchrony and population stability in a temperate grassland

Biodiversity generally promotes ecosystem stability. To assess whether the diversity–stability relationship observed under ambient nitrogen (N) conditions still holds under N enriched conditions, we designed a 6‐year field experiment to test whether the magnitude and frequency of N enrichment affects ecosystem stability and its relationship with species diversity in a temperate grassland. Results of this experiment showed that the frequency of N addition had no effect on either the temporal stability of ecosystem and population or the relationship between diversity and stability. Nitrogen addition decreased ecosystem stability significantly through decreases in species asynchrony and population stability. Species richness was positively associated with ecosystem stability, but no significant relationship between diversity and the residuals of ecosystem stability was detected after controlling for the effects of the magnitude of N addition, suggesting collinearity between the effects of N addition and species richness on ecosystem stability, with the former prevailing over the latter. Both population stability and the residuals of population stability after controlling for the effects of the magnitude of N addition were positively associated with ecosystem stability, indicating that the stabilizing effects of component populations were still present after N enrichment. Our study supports the theory predicting that the effects of environmental factors on ecosystem functioning are stronger than those of biodiversity. Understanding such mechanisms is important and urgent to protect biodiversity in mediating ecosystem functioning and services in the face of global changes.