This article is concerned with a system of semilinear parabolic equations with no-flux boundary condition in a mutualistic ecological model. Stability result of the equilibrium about relevant ODE problem is proved by ...This article is concerned with a system of semilinear parabolic equations with no-flux boundary condition in a mutualistic ecological model. Stability result of the equilibrium about relevant ODE problem is proved by discussing its Jacobian matrix, we give two priori estimates and prove that the model is permanent when ε1 ＋ε2≠ 0. Moreover sufficient conditions for the global asymptotical stability of the unique positive equilibrium of the model are obtained. Nonexistence of nonconstant positive steady states of the model is also given. When ε1 ＋ε2 = 0, grow up property is derived if the geometric mean of the interaction coefficients is greater than I （a1a2 〉 1）, while if the geometric mean of the interaction coefficients is less than I （a1a2 〈 1）, there exists a global solution. Finally, numerical simulations are given.展开更多
The Catcher In the Rye is the only one long novel of American writer J.D.Salinger,it has been listed as one of the best novel in 20th century,after this work published,the protagonist Holden who hates the hypocritical...The Catcher In the Rye is the only one long novel of American writer J.D.Salinger,it has been listed as one of the best novel in 20th century,after this work published,the protagonist Holden who hates the hypocritical world extremely,and pursue the pure in this world bravely,has been regarded as a hero by the millions the its readers,the span of time has been described by this novel is very short,just a day and two night,but it still expresses the changes on Holden’s mental,from his rebel to the reality,and determine to pursue the pure,but yield to the society eventually,clearly,though the pressure on Holden’s spirit,failure on Hold en’s heart,and loneliness on Holden’s life these days,J.D.Saling critics the alien society and relationship between people skillful.This paper is compounded by four parts,the chapter one is the introduction of The Catcher In the Rye,and some of reference relat ed to this work.the chapter two is the introduction of the environment around Holden,which is include society,school and family.chapter three is to analyze the Hloden’s personality,some striking behaviors and causes,the chapter four is to draw a conclusion,to show the influence of the environment during the process of people’s grow up.展开更多
基金supported by the NSFC Grant(No.11171158)Project of Graduate Education Innovation of Jiangsu Province(No.KYLX 0719)Project of Natural Science Research of Higher Education Institutions of Jiangsu Province(No.15KJB110008)
文摘This article is concerned with a system of semilinear parabolic equations with no-flux boundary condition in a mutualistic ecological model. Stability result of the equilibrium about relevant ODE problem is proved by discussing its Jacobian matrix, we give two priori estimates and prove that the model is permanent when ε1 ＋ε2≠ 0. Moreover sufficient conditions for the global asymptotical stability of the unique positive equilibrium of the model are obtained. Nonexistence of nonconstant positive steady states of the model is also given. When ε1 ＋ε2 = 0, grow up property is derived if the geometric mean of the interaction coefficients is greater than I （a1a2 〉 1）, while if the geometric mean of the interaction coefficients is less than I （a1a2 〈 1）, there exists a global solution. Finally, numerical simulations are given.
文摘The Catcher In the Rye is the only one long novel of American writer J.D.Salinger,it has been listed as one of the best novel in 20th century,after this work published,the protagonist Holden who hates the hypocritical world extremely,and pursue the pure in this world bravely,has been regarded as a hero by the millions the its readers,the span of time has been described by this novel is very short,just a day and two night,but it still expresses the changes on Holden’s mental,from his rebel to the reality,and determine to pursue the pure,but yield to the society eventually,clearly,though the pressure on Holden’s spirit,failure on Hold en’s heart,and loneliness on Holden’s life these days,J.D.Saling critics the alien society and relationship between people skillful.This paper is compounded by four parts,the chapter one is the introduction of The Catcher In the Rye,and some of reference relat ed to this work.the chapter two is the introduction of the environment around Holden,which is include society,school and family.chapter three is to analyze the Hloden’s personality,some striking behaviors and causes,the chapter four is to draw a conclusion,to show the influence of the environment during the process of people’s grow up.
