In this paper, an important problem arising from conservation biology is considered. Namely, how does the introduced species affect the survival of a native endangered species through predation? By using Kamke compari...In this paper, an important problem arising from conservation biology is considered. Namely, how does the introduced species affect the survival of a native endangered species through predation? By using Kamke comparison theorem and some results in Cui and Chen’s paper (1998), some sufficient conditions that guarantee the permanence of the species and global stability of a unique positive periodic solution are obtained. Biological implication of these results are discussed. MR Subject Classification 34C25 - 92D25 Keywords ecological invasion - diffusion - permanence - predation global stability Supported by the Research Foundation of Education Department of Zhejiang Province (20038049).展开更多
This paper aims to analyze the reduction of quasilinear differential equations,and the existence and uniqueness of its solution on its matrice coefficients. Anda mathematical charactorization of its impasse point is p...This paper aims to analyze the reduction of quasilinear differential equations,and the existence and uniqueness of its solution on its matrice coefficients. Anda mathematical charactorization of its impasse point is provided. One examplefrom practicc electrical network problem is used to test all these theory.展开更多
基金Supported by the Research Foundation of Education Department of Zhejiang Province( 2 0 0 380 4 9)
文摘In this paper, an important problem arising from conservation biology is considered. Namely, how does the introduced species affect the survival of a native endangered species through predation? By using Kamke comparison theorem and some results in Cui and Chen’s paper (1998), some sufficient conditions that guarantee the permanence of the species and global stability of a unique positive periodic solution are obtained. Biological implication of these results are discussed. MR Subject Classification 34C25 - 92D25 Keywords ecological invasion - diffusion - permanence - predation global stability Supported by the Research Foundation of Education Department of Zhejiang Province (20038049).
文摘This paper aims to analyze the reduction of quasilinear differential equations,and the existence and uniqueness of its solution on its matrice coefficients. Anda mathematical charactorization of its impasse point is provided. One examplefrom practicc electrical network problem is used to test all these theory.
