In this article, we examine the dynamics of a Chikungunya virus (CHIKV) infection model with two routes of infection. The model uses four categories, namely, uninfected cells, infected cells, the ...CHIKV virus, and antibodies. The equilibrium points of the model, which consist of the free point for the CHIKV and CHIKV endemic point, are first analytically determined. Next, the local stability of the equilibrium points is studied, based on the basic reproduction number (R0) obtained by the next-generation matrix. From the analysis, it is found that the disease-free point is locally asymptotically stable if R0≤1, and the CHIKV endemic point is locally asymptotically stable if R0>1. Using the Lyapunov method, the global stability analysis of the steady-states confirms the local stability results. We then describe our design of an optimal recruitment strategy to minimize the number of infected cells, as well as a nonlinear optimal control problem. Some numerical simulations are provided to visualize the analytical results obtained.
Let 𝑅 be an arbitrary ring with identity and 𝑀 a right 𝑅-module. In this paper, we introduce a class of modules which is analogous to that of Goldie*-lifting and principally Goldie*-lifting ...modules. The module 𝑀 is called principally 𝒢*-𝛿-lifting if, for any 𝑚 ∊ 𝑀, there exists a direct summand 𝑁 of 𝑀 such that 𝑚𝑅 is
β
δ
*
-equivalent to 𝑁. We also introduce a generalization of Goldie*-supplemented modules, namely, a module 𝑀 is said to be principally 𝒢*-𝛿-supplemented if, for any 𝑚 ∊ 𝑀, there exists a 𝛿-supplement 𝑁 in 𝑀 such that 𝑚𝑅 is
β
δ
*
-equivalent to 𝑁. We prove that some results of principally 𝒢*-lifting modules and Goldie*-lifting modules can be extended to principally 𝒢*-𝛿-lifting modules for this general setting. Several properties of these modules are given, and it is shown that the class of principally 𝒢*-𝛿-lifting modules lies between the classes of principally 𝛿-lifting modules and principally 𝒢*-𝛿-supplemented modules.
Unlike the traditional fossil energy, wind, asthe clean renewable energy, can reduce the emission of thegreenhouse gas. To take full advantage of the environ-mental benefits of wind energy, wind ...power forecastinghas to be studied to overcome the troubles brought by thevariable nature of wind. Power forecasting for regionalwind farm groups is the problem that many power systemoperators care about. The high-dimensional feature setswith redundant information are frequently encounteredwhen dealing with this problem. In this paper, two kinds offeature set construction methods are proposed which canachieve the proper feature set either by selecting thesubsets or by transforming the original variables withspecific combinations. The former method selects thesubset according to the criterion of minimal-redundancy-maximal-relevance （mRMR）, while the latter does sobased on the method of principal component analysis（PCA）. A locally weighted learning method is alsoproposed to utilize the processed feature set to producethe power forecast results. The proposed model is simpleand easy to use with parameters optimized automatically.Finally, a case study of 28 wind farms in East China isprovided to verify the effectiveness of the proposedmethod.
Stereo cameras are the basic tools used to obtain stereoscopic image pairs, which can lead to truly great image quality. However, some inappropriate shooting conditions may cause discomfort while ...viewing stereo images. It is therefore considerably necessary to establish the perceptual criteria that can be used to evaluate the shooting quality of stereo cameras. This article proposes objective quality evaluation criteria based on the characteristics of parallel and toed-in camera configurations. Considering the different internal structures and basic shooting principles, this paper focuses on short-distance shooting conditions and establishes assessment criteria for both parallel and toed-in camera configurations. Experimental results show that the proposed evaluation criteria can predict the visual perception of stereoscopic images and effectively evaluate stereoscopic image quality.
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