Coexistence in a discrete competition model with dispersal

We propose a discrete-time competition model between two populations to study the effects of dispersal upon population interactions. It is assumed that dispersal occurs after reproduction and in synchrony. We first analyse a two-patch single species population model with no interspecific competition. Based on these results, we derive sufficient conditions for population coexistence. It is proved that the system is uniformly persistent and possesses a unique coexisting equilibrium.     

数学分析中的四个等价命题

围绕数学分析的极限理论,给出四个等价命题,包括海涅定理的推广、介值性的刻划、一致连续性的刻划和级数收敛的刻划,相应指出它们在理论上的应用.     

Complex locally uniform rotundity of Musielak-Orlicz spaces

The concepts of complex locally uniform rotundity and complex locally uniformly rotund point are introduced. The sufficient and necessary conditions of them are given in complex MusielakOrlicz spaces.     

三次系统E_3~1存在四角形双曲线分界线环的充要条件

得到了三次系统Ｅ１３存在四角形双曲线分界线环的充要条件，并给出了它们的拓扑分类和各种拓扑结构的参数条件．     

Locale 的内部与边界

本文定义了Ｌｏｃａｌｅ的内部算子与边界算子，详细讨论了这两个算子的性质，进一步得到了Ｌｏｃａｌｅ形式的Ｋｕｒａｔｏｗｓｋｉ定理。     

An alternating direction scheme on a nonuniform mesh for reaction-diffusion parabolic problems

In this paper we develop a numerical method for two-dimensionaltime-dependent reaction-diffusion problems. This method, whichcan immediately be generalized to higher dimensions, is shownto be uniformly convergent with respect to the diffusion problems.This method, which can immediately be generalized to higherdimensions, is shown to be uniformly convergent with respectto the diffusion parameter.     

Structured Frames by Weil Entourages

In the framework of pointfree topology, we discuss the rôle of Weil entourages in the study of structures such as uniformities, quasi-uniformities, nearnesses, quasi-nearnesses, proximities and infinitesimal relations.     

Gravitational Field of Spherical Domain Walls

In this paper we have considered a spherically symmetric domain wall with non vanishing stress component in the direction perpendicular to the plane of the wall. The exact solutions are obtained using functional separability of metric coefficients. Also we have studied the motion of the test particles in different situations.     

A Remark on Schwarz's Topological Field Theory

The standard evaluation of the partition function Z of Schwarz's topological field theory results in the Ray–Singer analytic torsion. Here we present an alternative evaluation which results in Z=1. Mathematically, this amounts to a novel perspective on analytic torsion: it can be formally written as a ratio of volumes of spaces of differential forms which is formally equal to 1 by Hodge duality. An analogous result for Reidemeister combinatorial torsion is also obtained.     

Improved equation of state for finite‐temperature spin‐polarized electron liquids on the basis of Singwi–Tosi–Land–Sjölander approximation

An accurate expression for the exchange‐correlation free energy f _xc of homogeneous electron fluids at finite temperatures is presented on the basis of Singwi–Tosi–Land–Sjölander (STLS ) approximation. In addition to the derivation for the paramagnetic state, that for the ferromagnetic state is carried out afresh in which a correction in the strong Coulomb coupling regime is incorporated into the construction of the analytic expression as a function of the coupling constant and Fermi degeneracy. The fitting formula for f _xc is then extended over any degree of spin polarization with the aid of available interpolation scheme. The proposed equation of state, called the iSTLS formula, shows reasonable agreement with the existing quantum Monte Carlo evaluations at finite temperatures in the paramagnetic state, thus giving a consensus for the thermodynamic functions between many‐body theories and computer simulations. On the other hand, the current status for the agreement between various evaluations of f _xc is relatively unsatisfactory in the ferromagnetic state, suggesting the necessity for further investigations.