In this paper, the stability of a class of epidemiolosical medel withpopulation dynamics and nonlinear infectious rate is studied. Complete conclusionsare obtained and the practical explanation for the results is given.
In this paper we obtain sufficient conditions for the global asymptotic stabilityof the difference equationWe also apply our results to the rational recursive sequenceAMS No.: 39A12
Consider the regression model y_i=x_iβ+g(t_i)+e_i for i=1,2,...,n. Here g(·) is an unknown function, β is a parameter to be estimated, and e_i are random errors.Based on g(·) estimated by kernel type estim...Consider the regression model y_i=x_iβ+g(t_i)+e_i for i=1,2,...,n. Here g(·) is an unknown function, β is a parameter to be estimated, and e_i are random errors.Based on g(·) estimated by kernel type estimator for the case where (x_i,t_i) are i. i. d. design points, the adaptive estimator of β is investigated, and some展开更多
The existence of global solutions, asymptotic behavior and the L^p blow-up of non-global solutions to the initial value problem are studied. We consider only the case: 1【γ【(n+2)/(n—2). It is proved that the proper...The existence of global solutions, asymptotic behavior and the L^p blow-up of non-global solutions to the initial value problem are studied. We consider only the case: 1【γ【(n+2)/(n—2). It is proved that the properties of the solutions depend only on the relations between the initial data φ(x) and the unique positive equilibrium solution. The threshold is obtained.展开更多
Suppose that （x<sub>t</sub>,t≥0） is a stochastic process of the exponential type with P<sub>θ</sub>（x<sub>t</sub>∈B） =∫<sub>B</sub> exp{θ<sub>x</sub>...Suppose that （x<sub>t</sub>,t≥0） is a stochastic process of the exponential type with P<sub>θ</sub>（x<sub>t</sub>∈B） =∫<sub>B</sub> exp{θ<sub>x</sub> - tψ（θ）}γ（t,x）V<sub>t</sub>（dx）,where θ∈Θ? （-∞,∞） and V<sub>t</sub> is a measure. For testing the hypothesis θ≤θ<sub>0</sub> againstθ】θ<sub>0</sub>, we have found a class of truncated sequential tests with probability of the first kindof error not exceeding α, the expected observation time of tests being asymptoticallyminimal as α ↓0.展开更多
文摘In this paper, the stability of a class of epidemiolosical medel withpopulation dynamics and nonlinear infectious rate is studied. Complete conclusionsare obtained and the practical explanation for the results is given.
文摘In this paper we obtain sufficient conditions for the global asymptotic stabilityof the difference equationWe also apply our results to the rational recursive sequenceAMS No.: 39A12
基金Project sunoorted by the National Natural Science Foundation of China
文摘Consider the regression model y_i=x_iβ+g(t_i)+e_i for i=1,2,...,n. Here g(·) is an unknown function, β is a parameter to be estimated, and e_i are random errors.Based on g(·) estimated by kernel type estimator for the case where (x_i,t_i) are i. i. d. design points, the adaptive estimator of β is investigated, and some
基金Project supported by the Post Doctor Foundation of China.
文摘The existence of global solutions, asymptotic behavior and the L^p blow-up of non-global solutions to the initial value problem are studied. We consider only the case: 1【γ【(n+2)/(n—2). It is proved that the properties of the solutions depend only on the relations between the initial data φ(x) and the unique positive equilibrium solution. The threshold is obtained.
基金Project supported by the National Natural Science Foundation of China.
文摘Suppose that （x<sub>t</sub>,t≥0） is a stochastic process of the exponential type with P<sub>θ</sub>（x<sub>t</sub>∈B） =∫<sub>B</sub> exp{θ<sub>x</sub> - tψ（θ）}γ（t,x）V<sub>t</sub>（dx）,where θ∈Θ? （-∞,∞） and V<sub>t</sub> is a measure. For testing the hypothesis θ≤θ<sub>0</sub> againstθ】θ<sub>0</sub>, we have found a class of truncated sequential tests with probability of the first kindof error not exceeding α, the expected observation time of tests being asymptoticallyminimal as α ↓0.
