Open Mathematics最新文献_第10页

Spin(8,C)-Higgs pairs over a compact Riemann surface 紧致黎曼表面上的自旋(8,C)-希格斯对

IF 1.7 4区数学

Open Mathematics Pub Date : 2023-11-17 DOI: 10.1515/math-2023-0153

Álvaro Antón-Sancho

引用次数: 0

Predator-prey ecological system with group defense and anti-predator traits of the preys: Synergies between two important ecological actions 具有猎物群体防御和反捕食特征的捕食-食饵生态系统:两种重要生态行为之间的协同作用

IF 1.7 4区数学

Open Mathematics Pub Date : 2023-08-11 DOI: 10.1142/s2811007223500086

Rajat Kaushik, Sandip Banerjee

引用次数: 0

Polya fields and Kuroda/Kubota unit formula Polya字段和Kuroda/Kubota单位公式

IF 1.7 4区数学

Open Mathematics Pub Date : 2023-08-04 DOI: 10.1142/s2811007223500074

Charles Wend-Waoga Tougma

引用次数: 0

The explicit solution of a class of a higher order impulsive fractional differential equation involving Hadamard fractional derivative 一类含Hadamard分数阶导数的高阶脉冲分数阶微分方程的显式解

IF 1.7 4区数学

Open Mathematics Pub Date : 2023-07-28 DOI: 10.1142/s2811007223500062

Pinghua Yang, Rongling Yang

引用次数: 0

The Impact of Industrial Action on Physical Therapy Education in the United Kingdom. 工业行动对英国理疗教育的影响》。

4区数学

Open Mathematics Pub Date : 2023-06-01 Epub Date: 2023-04-21 DOI: 10.1097/JTE.0000000000000282

Richard C Armitage, Eric Williamson

引用次数: 0

Ion-acoustic wave dynamics and sensitivity study in a magnetized Auroral phase plasma 磁化极光相等离子体中离子声波动力学及灵敏度研究

IF 1.7 4区数学

Open Mathematics Pub Date : 2023-05-26 DOI: 10.1142/s2811007223500037

Samara Fatima, Naseem Abbas, M. Munawar, S. M. Eldin

引用次数: 0

Global existence and decay rates of solutions for Vlasov-Navier-Stokes-Fokker-Planck equations with magnetic field 具有磁场的Vlasov-Navier-Stokes-Fokker-Planck方程解的整体存在性和衰减率

IF 1.7 4区数学

Open Mathematics Pub Date : 2023-02-10 DOI: 10.1142/s2811007223500013

Ying Song

引用次数: 0

Geometric classifications of k-almost Ricci solitons admitting paracontact metrices 允许副接触度量的k-概Ricci孤子的几何分类

4区数学

Open Mathematics Pub Date : 2023-01-01 DOI: 10.1515/math-2022-0610

Yanlin Li, Dhriti Sundar Patra, Nadia Alluhaibi, Fatemah Mofarreh, Akram Ali

{"title":"Geometric classifications of <i>k</i>-almost Ricci solitons admitting paracontact metrices","authors":"Yanlin Li, Dhriti Sundar Patra, Nadia Alluhaibi, Fatemah Mofarreh, Akram Ali","doi":"10.1515/math-2022-0610","DOIUrl":"https://doi.org/10.1515/math-2022-0610","url":null,"abstract":"Abstract The prime objective of the approach is to give geometric classifications of <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mi>k</m:mi> </m:math> k -almost Ricci solitons associated with paracontact manifolds. Let <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:msup> <m:mrow> <m:mi>M</m:mi> </m:mrow> <m:mrow> <m:mn>2</m:mn> <m:mi>n</m:mi> <m:mo>+</m:mo> <m:mn>1</m:mn> </m:mrow> </m:msup> <m:mrow> <m:mo>(</m:mo> <m:mrow> <m:mi>φ</m:mi> <m:mo>,</m:mo> <m:mi>ξ</m:mi> <m:mo>,</m:mo> <m:mi>η</m:mi> <m:mo>,</m:mo> <m:mi>g</m:mi> </m:mrow> <m:mo>)</m:mo> </m:mrow> </m:math> {M}^{2n+1}left(varphi ,xi ,eta ,g) be a paracontact metric manifold, and if a <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mi>K</m:mi> </m:math> K -paracontact metric <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mi>g</m:mi> </m:math> g represents a <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mi>k</m:mi> </m:math> k -almost Ricci soliton <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mrow> <m:mo>(</m:mo> <m:mrow> <m:mi>g</m:mi> <m:mo>,</m:mo> <m:mi>V</m:mi> <m:mo>,</m:mo> <m:mi>k</m:mi> <m:mo>,</m:mo> <m:mi>λ</m:mi> </m:mrow> <m:mo>)</m:mo> </m:mrow> </m:math> left(g,V,k,lambda ) and the potential vector field <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mi>V</m:mi> </m:math> V is Jacobi field along the Reeb vector field <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mi>ξ</m:mi> </m:math> xi , then either <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mi>k</m:mi> <m:mo>=</m:mo> <m:mi>λ</m:mi> <m:mo>−</m:mo> <m:mn>2</m:mn> <m:mi>n</m:mi> </m:math> k=lambda -2n , or <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mi>g</m:mi> </m:math> g is a <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mi>k</m:mi> </m:math> k -Ricci soliton. Next, we consider <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mi>K</m:mi> </m:math> K -paracontact manifold as a <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mi>k</m:mi> </m:math> k -almost Ricci soliton with the potential vector field <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mi>V</m:mi> </m:math> V is infinitesimal paracontact transformation or collinear with <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mi>ξ</m:mi> </m:math> xi . We have proved that if a paracontact metric as a <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mi>k</m:mi> </m:math> k -almost Ricci soliton associated with the non-zero potential vector field <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mi>V</m:mi> </m:math> V is collinear with <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mi>ξ</m:mi> </m:math> xi and the Ricci operator <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mi>Q</m:mi> </m:math> Q commutes with paracontact structure <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mi>φ</m:mi> </m:math> varphi , then it is Einstein of constant scalar curvature equals to","PeriodicalId":48713,"journal":{"name":"Open Mathematics","volume":"235 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136092710","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 7

Commutators of Hardy-Littlewood operators on p-adic function spaces with variable exponents 变指数p进函数空间上Hardy-Littlewood算子的对易子

IF 1.7 4区数学

Open Mathematics Pub Date : 2023-01-01 DOI: 10.1515/math-2022-0579

K. Dung, P. T. Thuy

引用次数: 0

Dynamics and optimal harvesting of prey–predator in a polluted environment in the presence of scavenger and pollution control 污染环境中存在食腐动物和污染控制的食饵-捕食者动态和最佳收获

IF 1.7 4区数学

Open Mathematics Pub Date : 2023-01-01 DOI: 10.1142/s2811007223500049

S. Zawka, Temesgen T. Melese

{"title":"Dynamics and optimal harvesting of prey–predator in a polluted environment in the presence of scavenger and pollution control","authors":"S. Zawka, Temesgen T. Melese","doi":"10.1142/s2811007223500049","DOIUrl":"https://doi.org/10.1142/s2811007223500049","url":null,"abstract":"This paper is concerned with the dynamics and optimal harvesting of a prey–predator system in a polluted environment in the presence of scavengers and pollution control. Toxicants, released from external sources and the dead bodies of prey and predators, pollute the environment, which affects the growth of both prey and predators, resulting in a decline in the economic revenue from harvest. We assume that scavengers reduce pollution by consuming dead bodies. Further, we consider pollution reduction through depollution efforts as an alternative to enhancing revenue. We propose and analyze a prey–predator–pollutant model and study the optimal harvesting problem. We investigate the persistence of the ecosystem, and we solve the optimal harvest problem using Pontryagin’s maximum principle. The results indicate that uncontrolled prey harvesting and a high rate of pollution drive the system toward the extinction of both species. A moderate amount of pollution and the reasonable harvest efforts allow the system to persist. The optimal harvest strategy highlights that investing in pollution reduction enhances the persistence of the system as well as economic revenue. Numerical examples demonstrate the significant outcomes of the study.","PeriodicalId":48713,"journal":{"name":"Open Mathematics","volume":"3 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72681321","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0