Spatial pattern formation of a ratio-dependent predator—prey model     

林望 《海洋学报(英文版)》2010,29(9)

This paper presents a theoretical analysis of evolutionary process that involves organisms distribution and their interaction of spatially distributed population with diffusion in a Holling-III ratio-dependent predator--prey model, the sufficient conditions for diffusion-driven instability with Neumann boundary conditions are obtained. Furthermore, it presents novel numerical evidence of time evolution of patterns controlled by diffusion in the model, and finds that the model dynamics exhibits complex pattern replication, and the pattern formation depends on the choice of the initial conditions. The ideas in this paper may provide a better understanding of the pattern formation in ecosystems.  相似文献   

渤海海效应暴雪的三维热力结构特征   总被引：1，自引：0，他引：1  

杨成芳 《中国海洋大学学报(自然科学版)》2010,40(2)

采用烟台多普勒天气雷达、天气图等观测资料和中尺度模式(RAMS4.4)进行数值模拟,分析了2008年12月4~6日发生的一次海效应暴雪的时空分布和三维热力结构特征。结果表明:(1)渤海海效应降雪并非传统认为的仅发生在蓬莱以东的山东半岛地区,而是广泛分布于山东半岛、莱州湾、渤海中东部和黄海西部洋面上;降雪源地有暖海面和陆地,即莱州湾、渤海中部至渤海海峡和山东半岛。(2)浅层对流是海效应降雪的重要热力特征,当强冷空气流经渤海时,暖海面通过湍流交换等作用向冷空气底层输送感热和潜热,使得低层增温增湿,产生对流层中上层干冷低层暖湿的对流性不稳定。(3)冷空气的强弱影响渤海暖海面及山东半岛地区的垂直热力结构,导致降雪强度在不同时段存在显著差异。海气温差与热通量成正比,初期冷空气弱,对流层中低层的垂直温差小,海面上空的暖湿层浅薄,不稳定能量弱,产生的降雪量小;中后期冷空气强盛,对流层中低层的垂直温差大,暖湿层较为深厚,不稳定能量增强,导致降雪强度和降雪量大。(4)与单一要素温度和湿度相比,对流层低层相当位温的水平分布对强降雪落区具有更好的指示意义,强降雪发生在高相当位温脊线附近。  相似文献   

Jet instability and the stabilizing effect of topography on jets in two-layer rotating systems     

Don L. Boyer  Rui-Rong Chen 《地球物理与天体物理流体动力学》2013,107(1-3):45-70

Abstract

Laboratory experiments concerning azimuthal jets in two-layer rotating systems in the absence and presence of bottom topography aligned along the jets have been conducted. The jets were forced by the selective withdrawal of fluid from the upper layer of a two-fluid system contained in a circular dishpan geometry. The principal parameters measured in the experiments were the jet Rossby number, Ro, and a stratification parameter F = r ₁/(λ₁λ₂)^1/2 where r ₁ is the radius of the circular disc used for the selective withdrawal (i.e., r ₁ is the approximate radius of curvature of the jet) and λ₁,λ₂ are the internal Rossby radii of deformation in the upper and lower fluids, respectively.

The no-topography experiments show that for a sufficiently small F, the particular value depending on Ro, the jet is stable for the duration of the experiment. For sufficiently large F, again as a function of Ro, the jet becomes unstable, exhibiting horizontal wave disturbances from modes three to seven. An Ro against F flow regime diagram is presented.

Experiments are then conducted in the presence of a bottom topography having constant cross-section and extending around a mid-radius of the dishpan. The axis of the topography is in the vicinity of the jet axis forced in the no-topography experiments and the crest of the topography is in the vicinity of the interface between the two fluids (i.e., the front associated with the jet). The experiments show that in all cases investigated the jet tends to be stabilized by the bottom topography. Experiments with the topography in place, but with the interface between the fluids being above the topography crest, are shown to be unstable but more irregular than their no-topography counterparts.

Various quantitative measurements of the jet are presented. It is shown, for example, that the jet Rossby number defined in terms of the fluid withdrawal rate from the tank. Q, can be well correlated with a dimensionless vorticity gradient, V_G , across the upper layer jet. This allows for an assessment of the stability characteristics of a jet based on a knowledge of V_G (which can be estimated given a jet profile) and F.  相似文献   

Slow quasigeostrophic unstable modes of a lens vortex in a continuously stratified flow     

Hai Yen Nguyen  Richard Schopp  Xavier Carton 《地球物理与天体物理流体动力学》2013,107(3):305-319

This work addresses the linear dynamics underlying the formation of density interfaces at the periphery of energetic vortices, well outside the vortex core, both in the radial and axial directions. We compute numerically the unstable modes of an anticyclonic Gaussian vortex lens in a continuously stratified rotating fluid. The most unstable mode is a slow mode, associated with a critical layer instability located at the vortex periphery. Although the most unstable disturbance has a characteristic vertical scale which is comparable to the vortex height, interestingly, the critical levels of the successively fastest growing modes are closely spaced at intervals along the axial direction that are much smaller than the vortex height.  相似文献   

石家庄城市边缘区土地利用变化分析   总被引：2，自引：0，他引：2  

高迎春  王利香  佟连军  尹君 《国土资源遥感》2010,21(1):107-111

城市边缘区土地利用处于不断变化之中,城市边缘区土地利用变化也是协调城市化与耕地保护矛盾的关键所在。以不同时相高分辨率遥感影像为基础信息源,应用分类后比较法,解译提取1994年和2002年石家庄市城市边缘区土地利用变化信息,分析城市边缘区土地利用变化作用机制,协调耕地保护和城市建设之间的土地利用关系,以期为石家庄市城市土地利用管理提供决策依据。  相似文献   

Large-scale convective dynamos in a stratified rotating plane layer     

Krzysztof A. Mizerski 《地球物理与天体物理流体动力学》2013,107(1-2):218-243

We study the effect of stratification on large-scale dynamo action in convecting fluids in the presence of background rotation. The fluid is confined between two horizontal planes and both boundaries are impermeable, stress-free and perfectly conducting. An asymptotic analysis is performed in the limit of rapid rotation (τ???1 where τ is the Taylor number). We analyse asymptotic magnetic dynamo solutions in rapidly rotating systems generalising the results of Soward [A convection-driven dynamo I. The weak field case. Philos. Trans. R. Soc. Lond. A 1974, 275, 611–651] to include the effects of compressibility. We find that in general the presence of stratification delays the efficiency of large-scale dynamo action in this regime, leading to a reduction of the onset of dynamo action and in the nonlinear regime a diminution of the large-scale magnetic energy for flows with the same kinetic energy.  相似文献   

Theoretical analyses of acidization dissolution front instability in fluid‐saturated carbonate rocks     

Chongbin Zhao  B. E. Hobbs  A. Ord 《国际地质力学数值与分析法杂志》2013,37(13):2084-2105

This paper presents an instability theory that can be used to understand the fundamental behavior of an acidization dissolution front when it propagates in fluid‐saturated carbonate rocks. The proposed theory includes two fundamental concepts, namely the intrinsic time and length of an acidization dissolution system, and a theoretical criterion that involves the comparison of the Zhao number and its critical value of the acidization dissolution system. The intrinsic time is used to determine the time scale at which the acidization dissolution front is formed, while the intrinsic length is used to determine the length scale at which the instability of the acidization dissolution front can be initiated. Under the assumption that the acidization dissolution reaction is a fast process, the critical Zhao number, which is used to assess the instability likelihood of an acidization dissolution front propagating in fluid‐saturated carbonate rocks, has been derived in a strictly mathematical manner. Based on the proposed instability theory of a propagating acidization dissolution front, it has been theoretically recognized that: (i) the increase of the mineral dissolution ratio can stabilize the acidization dissolution front in fluid‐saturated carbonate rocks; (ii) the increase of the final porosity of the carbonate rock can destabilize the acidization dissolution front, while the increase of the initial porosity can stabilize the acidization dissolution front in fluid‐saturated carbonate rocks; (iii) the increase of the mineral dissolution ratio can cause an increase in the dimensionless propagation speed of the acidization dissolution front; (iv) the increase of the initial porosity can enable the acidization dissolution front to propagate faster, while the increase of the final porosity can enable the acidization dissolution front to propagate slower in the acidization dissolution system. Copyright © 2012 John Wiley & Sons, Ltd.  相似文献   

Study on the negative bias temperature instability effect under dynamic stress     

马晓华  曹艳荣  郝跃 《海洋学报(英文版)》2010,29(11)

This paper studies negative bias temperature instability (NBTI) under alternant and alternating current (AC) stress. Under alternant stress, the degradation smaller than that of single negative stress is obtained. The smaller degradation is resulted from the recovery of positive stress. There are two reasons for the recovery. One is the passivation of H dangling bonds, and another is the detrapping of charges trapped in the oxide. Under different frequencies of AC stress, the parameters all show regular degradation, and also smaller than that of the direct current stress. The higher the frequency is, the smaller the degradation becomes. As the negative stress time is too small under higher frequency, the deeper defects are hard to be filled in. Therefore, the detrapping of oxide charges is easy to occur under positive bias and the degradation is smaller with higher frequency.  相似文献   

省级边界区域经济发展的空间分析   总被引：6，自引：2，他引：4  

王义民  李文田 《地域研究与开发》2008,27(4)

省级行政区是我国最高级别的行政区域,在长期的演变过程中,形成具有中国特色的行政-经济区.由于先天和后天的原因,省级边界区域经济发展水平一般处于落后状态.省级经济区空间结构符合弗里德曼的"核心-边缘"理论,省会级中心城市多处于极化阶段,形成核心区;边界地区一般是边缘区.缩小省级边界区域与中心区域经济发展的差距,既要遵循经济区发展的一般规律,又要考虑行政-经济区的特殊情况.作者认为:经济区内部优化、经济区外部竞争与合作两种途径结合是边界区经济发展的必由之路.  相似文献   

Landform instability and land-use dynamics in tropical high mountains, Central Mexico     

GARCíA-ROMERO Arturo  ACEVES-QUESADA José Fernando  ARREDONDO-LEóN Carlos 《山地科学学报》2012,9(3):414-430

This investigation is an analysis of the influence of landform instability on the distribution of land-use dynamics in a hydrographical basin, located in the Mexican Volcanic Belt mountain range (central Mexico), currently affected by substantial changes in land use and deforestation. A landform map was produced, in addition to seven attribute maps - altimetry, drainage density, slope, relief energy, potential erosion, geology and tectonics - which were considered as factors for determining landform instability through Multi-criteria Evaluation Analysis. Likewise, the direction and rhythm of land-use dynamics were analyzed in four dates - between 1976 and 2000 - and cross tabulations were made between them, in order to analyze the trends and processes of land-use dynamics. Afterwards, the databases obtained were cross tabulated with the landform variables to derive areas, percentages and correlation indices. In the study area, high-instability landforms are associated with most ancient volcanic and sedimentary landforms, where high altitude, drainage density, slope and potential to develop gravitational and fluvial processes are the major factors favouring a land-use pattern, dominated by the conservation of extensive forest land, abandonment of human land use and regeneration of disturbed areas. In contrast, low-instability landforms correspond to alluvial plains and lava hills covered by pyroclasts, where low potential erosion to develop fluvial processes, added to water and soil availability and accessibility, have favoured a land-use pattern dominated by the expansion of agroforestry plantations and human settlements, showing a marked trend towards either intensification or permanence of the current land use and with little abandonment and regeneration.  相似文献