The genotype selection model is consideredy n+1 =y n e β n(1-ay n) 1-y n+y n e β n(1-ay n) , n=0,1,2…y 0∈(0,1), a sufficient condition for any solutions of tending to the positive equilibrium solution M=1/α obtained.
In this paper,we study the bifurcation of the equilibrium solution(u,λ)=(0,λ) of Kuramoto-Sivashinsky equation in one dimensional space by means of the method of Liapunov-Schmidt reduction when the parameter λ goes through the bifurcating point λ_κ=κ~2(κ=1,2,…).
Firstly, The equilibrium solution is global asymptotic stability and exponential stability on L2[0,l] under Neumann and Dirichlet boundary control conditions, control inputs for choosing the boundary control is bounded in Lx, the equilibrium solutions decay to zero and integrating the solution square in [0,1], it decays to zero exponentially, by using nonlinear boundary control conditions and input feedback control method.
The relation between the equilibrium solution and the market force is discussed, and the influence of the Contract for Difference on the equilibrium solution and the market force is studied.
This paper extends the Cournot Model in economic mathematics into the instance of maximization of fuzzy price and fuzzy profit, and gives the reaction function and equilibrium solution of manufacturers in the fuzzy sense by means of the expected weighted average of fuzzy numbers.
3. The amount of Cu2+adsorbed by permanent charge soil and variable charge soil is raised with the increase of Cu2+ concentration in the equilibrium solution at a certain range of Cu2+concentration, and the amount of Cu2+adsorbed by the former is more than that adsorbed by the latter.
In this work,the phase equilibrium of the system of Li +,K +//Cl -,B 4O 2- 7,CO 2- 3 H 2O was studied by the isothermal equilibrium method at 298 K, and the solubility, density, refractive indexes, viscosity, conductivity and pH values of the equilibrium solution were also determined.
The isotherm diagram consisted of two univariant curves and two crystallization fields corresponding to NaVO_3 and H_2NCONH_2,and the composition of equilibrium solution of invariant point was:w(NaVO_3)3.99%,w(H_2NCONH_2)(40.17%) respectively.
(2) Within the scopes of pH of the equilibrium solution is 3.0~7.0, adsorption amount of soil to Cr and As increase with pH, and adsorption amounts reach to maximum when pH is 7.0, after that adsorption amount decrease obviously.
(2)Within the scopes of pH of the equilibrium solution is 3.0～7.0,adsorption amount of soil to Cr and As increase with pH,and adsorption amounts reach to maximum when pH is 7.0,after that adsorption amount decrease obviously.
H study of the effect of equilibrium solution PH on adsorption showed thatMn adsorption was significantly increased when the PH value increased from 4 to 7.
while in the specific adsorption system of NaCl-NaH2PO4-H2O mixture, the steadiness is strongly relative to the concentration of H2PO4 in equilibrium solution. It isthe [Na7H2PO4-] ratio that decides the steadiness of goethite particles.
There is a significant correlation between the two soil samples (r=0.99~(**))in the Zn adsorption amount, under the conditions of the same equilibrium solution concentration.
Dependence of the sorption value on the pH of equilibrium solution has a maximum at pH ≈ 3.5, which is explained by the specific features of the electrolytic dissociation of cephalexin and MCC.
It is found that pHintr decreases, as the content of Cu2+ ions in the TiO2 phase grows, and, beginning with a certain moment, it coincides with pH of an equilibrium solution.
When solving an ion-exchange equilibrium problem it is usually taken into account that the ionite, according to a two-phased model, comprises microphases of a gel and an equilibrium solution.
For the extraction of reducing compounds from paddy soils, a 0.1M Al_2(SO_4)_3 solution of pH 2.5 was proposed. It was found that the extracting power of this solution was strongest among the eight tested solutions, and owing to the strong buffering capacity of the Al_2(SO_4)_3 solution, the pH values of the equilibrium solutions for different types of soils fluctuated within only a narrow range (2.65—3.15). A soil:solution ratio of 1:20 and stirring for 5 minutes w...
In this paper, Bucy's, work [1]and its complement [6] for It equation are generalized. When initial condition belongs to certain class of random variables, uniform stability, stability and asymptotic stability of equilibrium solution of It equation are definded. These definitions generalize Kozin definitions in[3]. Sufficient oonditions for existence of these stabilities are given, which are natural gereralizations of Lyapunov's theorems for deterministic systems. Finally, We give two examples.
MHD equilibria of tokamaks with a droplet-shaped cross section (an elliptic cross section with some triangular deformation) have been dealt with in this paper, all equilibrium solution and the current distribution in external coils required by producing the appropriate configuration are presented. The problem of heating the plasma with such configuration by adiabatic compression is discussed, the variation of all the equilibrium configuration with time during the compression is given. Calc...
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