Genetic Introgression Between Different Groups Reveals the Differential Process of Asian cultivated Rice

Genetic introgression plays an important role in the domestication of crops. The Asian cultivate rice consists of two major subspecies, they are indica and japonica. There are already many reports about existence of genetic introgression between the two subspecies. However, those studies often use few limited markers to characterize the genetic introgression that exists in some specific small populations. In this study we use the genome wide variation data of Asia cultivated rice to investigate their genetic introgression on the whole genome level. We detect a total of 13 significantly high introgression loci between the tropical japonica and indica population. Two different methods are used to identify the genetic introgression regions. For most of the detected introgression regions they generally get consistent results. Some previous known introgression genes are detected in the identified introgression loci, such as heat resistance gene TT1 and GLW7. The biological functions for these genetic introgression regions are annotated by the published QTL mapping results. We find that genetic introgression plays an important role in both the determination of the phenotype and the domestication process of different groups. Our study also provides useful information and resources for the study of rice gene function and domestication process.

Impact of Awareness to Control Malaria Disease: A Mathematical Modeling Approach

The mathematical modeling of malaria disease has a crucial role in understanding the insights of the transmission dynamics and corresponding appropriate prevention strategies. In this study, a novel nonlinear mathematical model for malaria disease has been proposed. To prevent the disease, we divided the infected population into two groups, unaware and aware infected individuals. The growth rate of awareness programs impacting the population is assumed to be proportional to the unaware infected individuals. It is further assumed that, due to the effect of awareness campaign, the aware infected individuals avoid contact with mosquitoes. The positivity and the boundedness of solutions have been derived through the completing differential process. Local and global stability analysis of disease-free equilibrium has been investigated via basic reproductive number R0, if R0 < 1, the system is stable otherwise unstable. The existence of the unique endemic equilibrium has been also determined under certain conditions. The solution to the proposed model is derived through an iterative numerical technique, the Runge–Kutta method. The proposed model is simulated for different numeric values of the population of humans and anopheles in each class. The results show that a significant increase in the population of susceptible humans is achieved in addition to the decrease in the population of the infected mosquitoes.

ON THE STABILITY OF THE DIFFERENTIAL PROCESS GENERATED BY COMPLEX INTERPOLATION

We study the stability of the differential process of Rochberg and Weiss associated with an analytic family of Banach spaces obtained using the complex interpolation method for families. In the context of Köthe function spaces, we complete earlier results of Kalton (who showed that there is global bounded stability for pairs of Köthe spaces) by showing that there is global (bounded) stability for families of up to three Köthe spaces distributed in arcs on the unit circle while there is no (bounded) stability for families of four or more Köthe spaces. In the context of arbitrary pairs of Banach spaces, we present some local stability results and some global isometric stability results.

Experiencing and Saying the Finitude of Language in Heidegger and Derrida

This article explores how the later Heidegger and the early Derrida experience and say the “being” of language. Both stumble upon the impossibility of bringing language into language—either because, for Derrida, all terms are implicated in the differential process of semiosis; or because, for Heidegger, articulations are responses called forth from the being of language. This is how we experience the finitude of language. Instead of being plainly nameless, the word comes into presence in its being-absent, but does so in conflicting ways. Derrida’s différance brings into language the infinite self-signification of language, while Heidegger’s Ereignis brings into it the self-concealment of language in propositional statements. Cet article examine comment Heidegger, vers la fin de sa vie, et Derrida, à ses débuts, éprouvent et disent « l’être » du langage. Tous deux découvrent l’impossibilité de faire entrer le langage dans le langage – soit, dans le cas de Derrida, car tous les termes sont impliqués dans le processus différentiel de la semiosis; soit, dans le cas de Heidegger, car les articulations sont les réponses appelées par l’être du langage. C’est ainsi que nous faisons l’expérience de la finitude du langage. Au lieu d’être tout simplement sans nom, le mot trouve présence dans son être-absent, de manières néanmoins conflictuelles. La différance de Derrida fait entrer dans le langage l’auto-signification infinie du langage, alors que l’Ereignis de Heidegger y introduit l’auto-dissimulation du langage dans des formulations propositionnelles.

Optimum currency areas, real and nominal convergence in the European Union

It is well known and widely accepted by economists that the characteristics of the countries of the European Monetary Union (EMU) created in 1999 did not match the requirements of an Optimum Currency Area (OCA). The only criteria for membership of the EMU were nominal. A strict level of convergence in inflation and interest rates was imposed. In addition to the nominal convergence, a process of convergence of nominal and real incomes in the new monetary area was expected to be generated with the monetary integration. After summarizing the criteria for a successful currency area in the context of the OCA theory, we study the real and nominal convergence process for an older group of countries (11) to establish whether or not these countries satisfy the conditions of an OCA. We apply ADF tests, together with the Schmidt-Phillips tests, and we estimate the fractional differential process to overcome the disadvantages of the traditional tests, to test for nominal and real convergence. We conclude that a process of real divergence and nominal convergence does exist, and suggest this is a source of genuine imbalance in the European integration process that can destroy the harmonious development of the European Monetary Union.http://dx.doi.org/10.14195/2183‑203X_42_1

EXPLICIT EQUATIONS AND SPECIAL CASES OF THE BURMESTER CURVES FOR THE PPP-P CASE

This paper presents an analytic treatment to investigate the Burmester curves of the PPP-P case. Provided that an instant center associated with an inflection point and rotation angle of a coupler about a pole are specified, the explicit equations of Burmester curves for the PPP-P case are directly derived without any differential process. Because the explicit equations derived are of quadratic form, their geometric properties can be easily investigated. Six degenerated cases and three special cases of the Burmester curves for the PPP-P case are obtained. A design example is presented.