A reaction-difusion model with nonlinearity driven difusion

In this paper, we deal with the model with a very general growth law and an M- driven diffusion For the general case of time dependent functions M and #, the existence and uniqueness for positive solution is obtained. If M and # are T0-periodic functions in t, then there is an attractive positive periodic solution. Furthermore, if M and # are time-independent, then the non-constant stationary solution M（x） is globally stable. Thus, we can easily formulate the conditions deriving the above behaviors for specific population models with the logistic growth law, Gilpin-Ayala growth law and Gompertz growth law, respectively. We answer an open problem proposed by L. Korobenko and E. Braverman in [Can. Appl. Math. Quart. 17（2009） 85-104].

Exact calculation of the minimal thickness of the large optical path difference wind imaging interferometer

This paper gives the relation between spatial ray and its projection on paper plane based on the vector form of reflective law. Using the method of prism expansion, it obtains the exact expression of the exit height. The exit height can ensure that the incident rays, at arbitrary direction and arbitrary angle, after several transmission and reflection in the two right-angle reflectors, finally pass through the exit surface. Furthermore, it analyses the effects of different parameters on the exit height through computer simulation, and some important conclusions are obtained. The physical meaning of the sign of exit height is described, and the exact expression of the minimal thickness of the large optical path difference wind imaging interferometer is gained. This work is of great scientific significance to the static, real- time simultaneous detection of atmospheric wind field, and it will provide a theoretical and practical guidance for the miniaturization design and engineering realization of wind imaging interferometer.

Creating a New Form of Rule of Law Civilization:A Historical Narrative of the Communist Party of China

The modernization path of the Chinese rule of law reflects the glorious process of the Communist Party of China(CPC)’s continuous exploration of the rule of law development.It has created a new form of rule of law civilization for humanity,one that has not only profoundly changed China but is also deeply influencing the world historical process.Under the leadership of the CPC,the Chinese people have achieved the innovation of legal mechanisms,text,and discourse in their century-long endeavor for the rule of law.This highlights the distinctive features of the Chinese rule of law civilization.The innovation of legal mechanisms is the foundation of the modernization of the Chinese rule of law,indicating that through the Party’s century-long endeavor for the rule of law,a legal leadership mechanism has been formed,in which the Party exercises overall leadership and coordinates the efforts of all sides;the innovation of legal text is the manifestation of modernization of the Chinese rule of law,indicating that through the Party’s century-long endeavor for the rule of law,the socialist legal system with Chinese characteristics is gradually moving toward a new stage of codification in which the promulgation and implementation of the Civil Code of the People’s Republic of China is a milestone;and the innovation of legal discourse is the core of modernization of the Chinese rule of law,indicating that through the Party’s century-long endeavor for the rule of law,the continuous refinement of the Chinese legal discourse system is playing a key role in providing theoretical support and legal reasoning.

Promoting Chinese Modernization of the Rule of Law and a New Form of Human Advancement of the Rule of Law-Interpretation of the Essence of the Rule of Law of the Report to the 20th National Congress of Communist Party of China

One of the significant theoretical contributions of the Report to the 20th National Congress of the Communist Party of China(CPC)is a well-conceived systematic Chinese modernization theory,which is developed based on the profound summarization of the successful experience of Chinese modernization,and on the modernization theories of China and other countries.Chinese modernization of the rule of law,a section of the lawbased Chinese modernization,focuses on the subject of rule of law.Breaking the myth of Western centralism,it creates a new model of modernization of the rule of law and produces a revolutionary effect on the modernization of the rule of law modernization in the world.It presents distinctive Chinese features and Chinese vision.Led by the CPC,it is an independent exploration,people-centered,organized,and planned,and has lofty value goals.Driven by modern science and technology forworld peace and development,the principal task of Chinese modernization of the rule of law is to create a system of socialist rule of law with Chinese characteristics and a new form of human advancement of the rule of law.Its great mission is to build China into a modern socialist country in all respects under the rule of law,ensuring that the rule of law runs through all areas and aspects of national governance and construction,so that building China into a great modern socialist country with the high-quality rule of law can be guaranteed.