This article takes the general branch of the Huizhou College of the Democratic League of Huizhou College in recent years as an example. Through literature review, field research, case analysis, and other research meth...This article takes the general branch of the Huizhou College of the Democratic League of Huizhou College in recent years as an example. Through literature review, field research, case analysis, and other research methods, it summarized how the Democratic League of Huizhou College made good use of various activity carriers in ideological and political education. It combined discipline construction, scientific research platforms, school-government-enterprise, and other cooperation platforms. From educational methods to subject transformation and integration, and from daily teaching to social practice, it promoted the role of college teachers in the alliance to play the role of cultivating people in the era of college education reform. The aim was to put forward that in educating others, they should first educate themselves, teachers had two-way morality in terms of teacher ethics and professionalism, effectively integrated ideological and political courses into professional teaching and practice, and realized waiting for flowers to bloom in the “context”<sup>1</sup> teaching environment like the cultivation effect of salt in water.展开更多
Under a very general condition （TNC condition） we show that the spectral radius of the kernel of a general branching process is a threshold parameter and hence plays a role as the basic reproduction number in usual ...Under a very general condition （TNC condition） we show that the spectral radius of the kernel of a general branching process is a threshold parameter and hence plays a role as the basic reproduction number in usual CMJ processes. We discuss also some properties of the extinction probability and the generating operator of general branching processes. As an application in epidemics, in the final section we suggest a generalization of SIR model which can describe infectious diseases transmission in an inhomogeneous population.展开更多
A new class of branching models,the general collision branching processes with two parameters,is considered in this paper.For such models,it is necessary to evaluate the absorbing probabilities and mean extinction tim...A new class of branching models,the general collision branching processes with two parameters,is considered in this paper.For such models,it is necessary to evaluate the absorbing probabilities and mean extinction times for both absorbing states.Regularity and uniqueness criteria are firstly established.Explicit expressions are then obtained for the extinction probability vector,the mean extinction times and the conditional mean extinction times.The explosion behavior of these models is investigated and an explicit expression for mean explosion time is established.The mean global holding time is also obtained.It is revealed that these properties are substantially different between the super-explosive and sub-explosive cases.展开更多
文摘This article takes the general branch of the Huizhou College of the Democratic League of Huizhou College in recent years as an example. Through literature review, field research, case analysis, and other research methods, it summarized how the Democratic League of Huizhou College made good use of various activity carriers in ideological and political education. It combined discipline construction, scientific research platforms, school-government-enterprise, and other cooperation platforms. From educational methods to subject transformation and integration, and from daily teaching to social practice, it promoted the role of college teachers in the alliance to play the role of cultivating people in the era of college education reform. The aim was to put forward that in educating others, they should first educate themselves, teachers had two-way morality in terms of teacher ethics and professionalism, effectively integrated ideological and political courses into professional teaching and practice, and realized waiting for flowers to bloom in the “context”<sup>1</sup> teaching environment like the cultivation effect of salt in water.
文摘Under a very general condition （TNC condition） we show that the spectral radius of the kernel of a general branching process is a threshold parameter and hence plays a role as the basic reproduction number in usual CMJ processes. We discuss also some properties of the extinction probability and the generating operator of general branching processes. As an application in epidemics, in the final section we suggest a generalization of SIR model which can describe infectious diseases transmission in an inhomogeneous population.
基金supported by National Natural Science Foundation of China (Grant No.10771216)Research Grants Council of Hong Kong (Grant No.HKU 7010/06P)Scientific Research Foundation for Returned Overseas Chinese Scholars,State Education Ministry of China (Grant No.[2007]1108)
文摘A new class of branching models,the general collision branching processes with two parameters,is considered in this paper.For such models,it is necessary to evaluate the absorbing probabilities and mean extinction times for both absorbing states.Regularity and uniqueness criteria are firstly established.Explicit expressions are then obtained for the extinction probability vector,the mean extinction times and the conditional mean extinction times.The explosion behavior of these models is investigated and an explicit expression for mean explosion time is established.The mean global holding time is also obtained.It is revealed that these properties are substantially different between the super-explosive and sub-explosive cases.
