草地蝗虫种群数量消长数学模型研究

本文根据草地蝗虫发生特点，在充分考虑其数量消长受环境条件、敌害及本身内禀作用制约的基础上，提出了以时序为特点的几种主要蝗虫及混虫种群数量消长的数学模型。宽须蚁蝗、狭翅雏蝗及混合种群密度的拟合模型中ｚ和ｘ有较强的相关性，故这几个模型较好的反映了消长情况。但在混合种群消长模型中，自９月１５日以后观测值迅速下降，而模型值并未很快下降，这是由于模型未考虑蝗虫生存的临界温度。     

比利时的欧洲水青冈

正沿着古丝绸之路的足迹直达欧洲,在"一带一路"的最西端,坐落着一座美丽的城市——比利时的安特卫普。这座城市到处都是绿色,其中有一种叫欧洲水青冈的植物引起了作者的极大关注和兴趣。从人们的庭院到广袤的森林,到处都有它的身影。2013年9月和10月,中国国家主席习近平在出访中亚和东南亚国家期间,先后提出共建"丝绸之路经济带"和"21世纪海上丝绸之路"的倡议,     

Turing pattern selection in a reactionben diffusion epidemic modelast

We present Turing pattern selection in a reaction—diffusion epidemic model under zero-flux boundary conditions. The value of this study is twofold. First, it establishes the amplitude equations for the excited modes, which determines the stability of amplitudes towards uniform and inhomogeneous perturbations. Second, it illustrates all five categories of Turing patterns close to the onset of Turing bifurcation via numerical simulations which indicates that the model dynamics exhibits complex pattern replication: on increasing the control parameter v, the sequence “H₀ hexagons → H₀-hexagon-stripe mixtures → stripes → H_π-hexagon-stripe mixtures → H_π hexagons” is observed. This may enrich the pattern dynamics in a diffusive epidemic model.     

Turing pattern selection in a reaction-diffusion epidemic model

We present Turing pattern selection in a reaction-diffusion epidemic model under zero-flux boundary conditions.The value of this study is twofold.First,it establishes the amplitude equations for the excited modes,which determines the stability of amplitudes towards uniform and inhomogeneous perturbations.Second,it illustrates all five categories of Turing patterns close to the onset of Turing bifurcation via numerical simulations which indicates that the model dynamics exhibits complex pattern replication:on increasing the control parameter ν,the sequence "H 0 hexagons → H 0-hexagon-stripe mixtures → stripes → H π-hexagon-stripe mixtures → H π hexagons" is observed.This may enrich the pattern dynamics in a diffusive epidemic model.     

中央空调系统节能控制的全局优化模型

首先通过分析得出商场内各产热单元的冷负荷,给出商场内总冷负荷关于人流量和商场温度的表达式;然后分别用优化方法和解超定方程方法求出商场内人流量随时间的变化;最后采用全局优化原理对中央空调系统的节能控制进行建模,实现了整个中央空调系统的能耗最小化.