关于部分变元的持久性

本文引入部分变元持久性的定义,借鉴稳定性理论的基本思想方法,讨论了Kolmogrov模型关于部分变元强持久的充要条件及永久共存的充分条件;并以此为工具,讨论了有界性与持久性的关系,得到了有界性的新判据．     

关于持久性的李雅普诺夫方法

本文在〔1〕,〔2〕的基础上,将持久函数的定义作了推广和扩充,并将稳定性理论思想方法系统引入持久性讨论中．得到了强持久的充要条件及永久共存的充分条件,并用上述结论讨论了Volterra模型的持久性．     

具有时滞和避难所的捕食者-两共存食饵模型

研究了一类具有时滞和避难所的捕食-被捕食模型的一致持久性和全局稳定性.利用比较原理讨论了模型的一致持久性,运用Lyapunov函数方法得到了模型全局渐近稳定的充分条件.     

具有比率依赖和密度制约的周期捕食-被捕食系统的一致持久性(英文)

系统的讨论了具有比率依赖和密度制约的周期捕食-被捕食系统的持久性问题,不仅得到了系统一致持久的充分条件,还得到了必要条件,并且持久性条件在模型中得到验证.     

一类具有相互干扰的Leslie捕食与被捕食系统的定性分析

用定性分析的方法研究了一类具有相互干扰的Leslie捕食与被捕食周期系统的全局性质,讨论了系统的持久性以及周期解的存在唯一性,并且给出了该系统持久性的充分条件以及存在全局渐近稳定正周期解的充分条件.     

捕食者——食饵系统持久的充要条件及其分枝

本文研究了具无限时滞的捕食者-食系统的持续生存问题,得到了保证系统持续生存的充要条件,以此为基础,讨论了系统的持久性分枝问题．     

一类具有时滞和避难所的捕食者-两共存食饵模型

研究了一类具有时滞和避难所的捕食者-被捕食模型的一致持久性和全局稳定性。利用比较原理得到保证此系统持久性的充分条件,通过构造适当的Lyapunov函数的方法,得到了保证此系统全局渐近稳定的充分条件,所得的结果推广了文献[7]的主要结果.     

微生物降解持久性有机污染物的研究进展与展望

持久性有机污染物（POPs）是伴随着人类工业化发展而产生的合成类污染物,具有高毒性、持久性、长迁移性和高生物富集性等特点,POPs污染物的微生物降解一直是环境科学与技术应用领域的研究热点。微生物降解技术修复POPs污染环境具有无二次污染、成本低、快速简便等优点,拥有广泛的应用前景。本文论述了各种POPs微生物分解代谢的最新研究进展,包括降解性微生物资源以及降解机制。此外,还讨论了计算生物学、合成生物学、基因组学等技术在POPs微生物降解中的潜力和应用,以期为环境中持久性有机污染物的修复提供参考。     

具无效时滞和反馈控制的非自治双种群合作共生系统的持久性分析（英文）

本文研究一类具时滞和反馈控制的非自治双种群合作共生系统,通过细致的分析,建立了一系列易于验证且保证系统持久性的充分条件,该条件显示时滞和反馈控制对系统的持久性没有影响.进一步,举例验证了结果的有效性和可行性.     

一类在周期环境中具有潜伏效应的SI-SEIR禽流感模型

本文研究了一类在周期环境中具有潜伏效应的SI-SEIR模型.讨论了当基本再生数R_01时无病平衡点的全局稳定性,当R_01时系统的一致持久性以及正周期解的存在性.     

Global dynamics of a discrete two-species Lottery-Ricker competition model

In this article, we study the global dynamics of a discrete two-dimensional competition model. We give sufficient conditions on the persistence of one species and the existence of local asymptotically stable interior period-2 orbit for this system. Moreover, we show that for a certain parameter range, there exists a compact interior attractor that attracts all interior points except Lebesgue measure zero set. This result gives a weaker form of coexistence which is referred to as relative permanence. This new concept of coexistence combined with numerical simulations strongly suggests that the basin of attraction of the locally asymptotically stable interior period-2 orbit is an infinite union of connected components. This idea may apply to many other ecological models. Finally, we discuss the generic dynamical structure that gives relative permanence.     

基于比率的具有反馈控制的非自治捕食系统的动力学行为

讨论了一类基于比率的具有反馈控制的非自治捕食系统,所有的参数都是时滞的.先研究了该系统的一致持久性和全局渐近稳定性,并通过构造适当的Lyapunov函数,得到了系统存在惟一渐近稳定的正概周期解的充分性条件.最后,通过一个例子说明了结论的可行性.     

具脉冲出生的Leslie-Gower捕食者-食饵系统的动力学分析

研究了一个具有脉冲出生的Leslie-Gower捕食者一食饵系统的动力学性质．利用频闪映射。得到了带有Ricker和Beverton-Holt函数的脉冲系统准确的周期解．通过Floquet定理和脉冲比较定理,讨论了该系统的灭绝和持久生存．最后,数值分析了以b（p）为分支参数的分支图,得到的结论是脉冲出生会带给系统倍周期分支、混沌以及在混沌带中出现周期窗口等复杂的动力学行为．     

Qualitative permanence of Lotka–Volterra equations

In this paper, we consider permanence of Lotka-Volterra equations. We investigate the sign structure of the interaction matrix that guarantees the permanence of a Lotka-Volterra equation whenever it has a positive equilibrium point. An interaction matrix with this property is said to be qualitatively permanent. Our results provide both necessary and sufficient conditions for qualitative permanence.     

Pond permanence is a key determinant of aquatic macroinvertebrate community structure in wetlands

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Responses of hyporheic invertebrate assemblages to large-scale variation in flow permanence and surface–subsurface exchange

1. Flow permanence (the proportion of time that flowing water is present) strongly influences benthic invertebrate assemblages in ephemeral and intermittent river reaches. Effects of varying flow permanence on hyporheic invertebrate assemblages are not well understood, and have not previously been studied at large spatial scales. 2. We used a 52‐km long flow‐permanence gradient in the alluvial Selwyn River, New Zealand to assess hyporheic assemblage responses to variation in flow permanence and surface–subsurface exchange. The Selwyn mainstem consists of perennial and temporary reaches embedded in longer downwelling (losing) and upwelling (gaining) sections. 3. We predicted that hyporheic invertebrate diversity, density and assemblage stability would increase with increasing flow permanence. We further predicted that assemblage structure would be influenced by the relative contribution of downwelling and upwelling water at the reach‐scale. 4. Hyporheic invertebrates were collected at 15 river cross‐sections over a 13‐month period. As predicted, hyporheic taxon richness, density and assemblage stability varied directly with flow permanence. The distribution of taxa along the flow permanence gradient appeared to be related to desiccation resistance. However, it is possible that proximity to colonist sources also contributed to distribution patterns. 5. Taxon richness was significantly higher at sites in the gaining section compared with the losing section. Sites with high flow permanence in the gaining and losing sections supported distinct hyporheic assemblages, characterised by amphipods and isopods in the gaining section, and ostracods, Hydra sp. and the mayfly Deleatidium spp. in the losing section. 6. Results of the study suggest an expansion of the scope of the Hyporheic Corridor Concept to include large hyporheic flowpaths associated with unbounded alluvial plains rivers. Hyporheic assemblages in alluvial rivers are strongly influenced by large‐scale flow permanence gradients, large‐scale surface water–groundwater exchange, and their interactions.     

Permanence of discrete-time Kolmogorov systems for two species and saturated fixed points

This paper considers the dynamics of a discrete-time Kolmogorov system for two-species populations. In particular, permanence of the system is considered. Permanence is one of the concepts to describe the species coexistence. By using the method of an average Liapunov function, we have found a simple sufficient condition for permanence of the system. That is, nonexistence of saturated boundary fixed points is enough for permanence of the system under some appropriate convexity or concavity properties for the population growth rate functions. Numerical investigations show that for the system with population growth rate functions without such properties, the nonexistence of saturated boundary fixed points is not sufficient for permanence, actually a boundary periodic orbit or a chaotic orbit can be attractive despite the existence of a stable coexistence fixed point. This result implies, in particular, that existence of a stable coexistence fixed point is not sufficient for permanence.     

Ten false ideas about New Caledonia biogeography

The biogeographical paradigm of New Caledonia has recently changed. Although this island is now considered by many as oceanic, its study is still often impeded by some old misconceptions concerning either regional geology or phylogenetic analysis of evolution and biogeography. I discuss ten points that I feel are especially detrimental, to help focus on the real debate and the real questions: (1) its geological history cannot be understood from the basement only; (2) the island submergence was not due simply to sea‐level variation; (3) Zealandia/Tasmantis is not a lost continent; (4) short‐distance dispersal is not equivalent to permanence on land; (5) long‐distance dispersal is not the sole event opposing vicariance, but short‐distance dispersal as well; (6) the occurrence of relicts does not prove biota permanence; (7) a major fault system was not observed in New Caledonia; (8) terranes are not rafts; (9) forest climatic refuges do not necessarily equate to centres of endemism or centres of diversity; and (10) New Caledonia is not only a sink but also a source. Study of New Caledonia will need to focus on old and non‐relict clades and there is a need to improve the local fossil record.     

On a Nonautonomous SEIRS Model in Epidemiology

In this paper, we derive some threshold conditions for permanence and extinction of diseases that can be described by a nonautonomous SEIRS epidemic model. Under the quite weak assumptions, we establish some sufficient conditions to prove the permanence and extinction of disease. Some new threshold values are determined.