Supported by the National Natural Science Foundation of China(Grant Nos.11171114,11401576);Hotan Prefecture Science and Technology Bureau General Project(Grant No.20220212)。
A set S of vertices of a graph G is called a decycling set if G-S is acyclic.The smallest size of a decycling set is called the decycling number of G and is denoted by ∇(G).In this paper,we investigate the decycling n...
A left Leibniz algebra equipped with an invariant nondegenerate skew-symmetric bilinear form(i.e.,a skew-symmetric quadratic Leibniz algebra)is constructed.The notion of T^(*)-extension of Lie-Yamaguti algebras is int...
Supported by the Universities Key Laboratory of System Modeling and Data Mining in Guizhou Province(Grant No.2023013);the National Natural Science Foundation of China(Grant No.12161013);the Science and Technology Program of Guizhou Province(Grant No.ZK[2023]025)。
Semenov-Tian-Shansky has given the solution of the modified classical Yang-Baxter equation, which was called the modified r-matrix. Relevant studies have been extensive in recent times. In this paper, we introduce the...
Supported by the Social Science Foundation of Hebei Province(Grant No.HB23TJ003);the Science Research Project of Hebei Education Department(Grant No.BJK2024197)。
This paper examines an epidemic predator-prey model with prey dispersal and Holling type-II functional response. In this model, it is assumed that the predator population suffers a transmissible disease. By analyzing ...
Supported by the National Natural Science Foundation of China(Grant No.12261017);the Scientific Research Foundation of Guizhou University of Finance and Economics(Grant No.2022ZCZX077)。
In this work, an efficient spectral method is proposed to solve the fourth-order eigenvalue problem in cylinder domain. Firstly, the key point of this method is to decompose the original model into a kind of decoupled...
Supported by the National Natural Science Foundation of China(Grant No.12161080)。
This paper is concerned with a diffusive Ivlev-type predator-prey system with Smith growth and a protection zone. By discussing the existence and non-existence of positive solutions,we discover that the incorporation ...
Supported by the National Natural Science Foundation of China(Grant No.12201500)。
In this paper,the authors prove that the parameterized area integralμ_(Ω,S)^(ρ)and the parameterized Littlewood-Paley g_(δ)^(*)-functionμ_(Ω,δ)^(*,ρ)are bounded on two-weight grand homogeneous variable Herz-Mo...
Supported by the National Natural Science Foundation of China(Grant No.12031002)。
Accurately identifying key nodes is essential for evaluating network robustness and controlling information propagation in complex network analysis. However, current research methods face limitations in applicability ...
Supported by the National Natural Science Foundation of China(Grant No.12071175)。
In this paper, we use sample average approximation with adaptive multiple importance sampling to explore moderate deviations for the optimal values. Utilizing the moderate deviation principle for martingale difference...
Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Appli...