发布求助
文献互助 智能选刊 最新文献

Acta Mathematicae Applicatae Sinica, English Series最新文献

筛选
英文 中文
The Dynamics of a Stochastic SEITR Model for Tuberculosis with Incomplete Treatment 不完全治疗肺结核的随机SEITR模型动力学
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-12-26 DOI: 10.1007/s10255-024-1147-y
Xiao-dong Wang, Kai Wang
{"title":"The Dynamics of a Stochastic SEITR Model for Tuberculosis with Incomplete Treatment","authors":"Xiao-dong Wang,&nbsp;Kai Wang","doi":"10.1007/s10255-024-1147-y","DOIUrl":"10.1007/s10255-024-1147-y","url":null,"abstract":"<div><p>In this paper, a stochastic SEITR model is formulated to describe the transmission dynamics of tuberculosis with incompletely treatment. Sufficient conditions for the existence of a stationary distribution and extinction are obtained. In addition, numerical simulations are given to illustrate these analytical results. Theoretical and numerical results show that large environmental perturbations can inhibit the spread of tuberculosis.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 1","pages":"99 - 113"},"PeriodicalIF":0.9,"publicationDate":"2024-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142889716","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
Hausdorff Measure of Space Anisotropic Gaussian Processes with Non-stationary Increments 具有非平稳增量的空间各向异性高斯过程的Hausdorff测度
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-12-26 DOI: 10.1007/s10255-024-1051-5
Jun Wang, Zhen-long Chen, Wei-jie Yuan, Guang-jun Shen
{"title":"Hausdorff Measure of Space Anisotropic Gaussian Processes with Non-stationary Increments","authors":"Jun Wang,&nbsp;Zhen-long Chen,&nbsp;Wei-jie Yuan,&nbsp;Guang-jun Shen","doi":"10.1007/s10255-024-1051-5","DOIUrl":"10.1007/s10255-024-1051-5","url":null,"abstract":"<div><p>Let <i>X</i> = {<i>X</i>(<i>t</i>), <i>t</i> ∈ ℝ<sub>+</sub>} be a centered space anisotropic Gaussian process values in ℝ<sup><i>d</i></sup> with non-stationary increments, whose components are independent but may not be identically distributed. Under certain conditions, then almost surely <i>c</i><sub>1</sub> ≤ <i>ϕ</i> − <i>m</i>(<i>X</i>([0, 1])) ≤ <i>c</i><sub>2</sub>, where <i>ϕ</i> denotes the exact Hausdorff measure associated with function <span>(phi left( s right) = {s^{{1 over {{alpha _k}}} + sumlimits_{i = 1}^k {left( {1 - {{{alpha _i}} over {{alpha _k}}}} right)} }}log ,log,{1 over s})</span> for some 1 ≤ <i>k</i> ≤ <i>d</i>, (<i>α</i><sub>1</sub>,⋯, <i>α</i><sub><i>d</i></sub>) ∈ (0, 1]<sup><i>d</i></sup>. We also obtain the exact Hausdorff measure of the graph of <i>X</i> on [0, 1].</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 1","pages":"114 - 132"},"PeriodicalIF":0.9,"publicationDate":"2024-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142889714","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
Lp-solutions of Multi-dimensional Oblique Reflected BSDEs and Optimal Switching Problem on Finite or Infinite Time Horizon 有限或无限时间水平线上多维斜反射 BSDE 的 Lp 解与最优切换问题
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-11-06 DOI: 10.1007/s10255-024-1136-1
Xue-jun Shi, Qun Feng, Long Jiang
{"title":"Lp-solutions of Multi-dimensional Oblique Reflected BSDEs and Optimal Switching Problem on Finite or Infinite Time Horizon","authors":"Xue-jun Shi,&nbsp;Qun Feng,&nbsp;Long Jiang","doi":"10.1007/s10255-024-1136-1","DOIUrl":"10.1007/s10255-024-1136-1","url":null,"abstract":"<div><p>In this paper, we study mulit-dimensional oblique reflected backward stochastic differential equations (RBSDEs) in a more general framework over finite or infinite time horizon, corresponding to the pricing problem for a type of real option. We prove that the equation can be solved uniquely in <i>L</i><sup><i>p</i></sup>(1 &lt; <i>p</i> ≤ 2)-space, when the generators are uniformly continuous but each component taking values independently. Furthermore, if the generator of this equation fulfills the infinite time version of Lipschitzian continuity, we can also conclude that the solution to the oblique RBSDE exists and is unique, despite the fact that the values of some generator components may affect one another.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"40 4","pages":"1127 - 1146"},"PeriodicalIF":0.9,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587789","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
Uniformity of Asymmetric Augmented Designs 不对称增强设计的均匀性
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-11-06 DOI: 10.1007/s10255-024-1135-2
Zhi-qing Wang, Xiang-yu Fang, Zu-jun Ou
{"title":"Uniformity of Asymmetric Augmented Designs","authors":"Zhi-qing Wang,&nbsp;Xiang-yu Fang,&nbsp;Zu-jun Ou","doi":"10.1007/s10255-024-1135-2","DOIUrl":"10.1007/s10255-024-1135-2","url":null,"abstract":"<div><p>Follow-up experimental designs are widely applied to explore the relationship between factors and responses step by step in various fields such as science and engineering. When some additional resources or information become available after the initial design of experiment is carried out, some additional runs and/or factors may be added in the follow-up stage. In this paper, the issue of the uniform row augmented designs and column augmented designs with mixed two-, three- and four-level is investigated. The uniformity of augmented designs is discussed under the wrap-around <i>L</i><sub>2</sub>-discrepancy. Some lower bounds of wrap-around <i>L</i><sub>2</sub>-discrepancy for the augmented designs are obtained, which can be used to assess uniformity of augmented design. Numerical results show that augmented designs have high efficiency, which have low discrepancy and close to the proposed lower bounds.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"40 4","pages":"1025 - 1044"},"PeriodicalIF":0.9,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587904","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
The Chromatic Number of (P5, HVN)-free Graphs 无 (P5, HVN) 图形的色度数
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-11-06 DOI: 10.1007/s10255-024-1029-3
Yian Xu
{"title":"The Chromatic Number of (P5, HVN)-free Graphs","authors":"Yian Xu","doi":"10.1007/s10255-024-1029-3","DOIUrl":"10.1007/s10255-024-1029-3","url":null,"abstract":"<div><p>Let <i>G</i> be a graph. We use <i>χ</i>(<i>G</i>) and <i>ω</i>(<i>G</i>) to denote the chromatic number and clique number of <i>G</i> respectively. A <i>P</i><sub>5</sub> is a path on 5 vertices, and an HVN is a <i>K</i><sub>4</sub> together with one more vertex which is adjacent to exactly two vertices of <i>K</i><sub>4</sub>. Combining with some known result, in this paper we show that if <i>G</i> is (<i>P</i><sub>5</sub>, <i>HVN</i>)-free, then <i>χ</i>(<i>G</i>) ≤ max{min{16, <i>ω</i>(<i>G</i>) + 3}, <i>ω</i>(<i>G</i>) + 1}. This upper bound is almost sharp.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"40 4","pages":"1098 - 1110"},"PeriodicalIF":0.9,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587782","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
The Thickness of Some Complete Bipartite and Tripartite Graphs 一些完整二方图和三方图的厚度
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-11-06 DOI: 10.1007/s10255-024-1128-1
Si-wei Hu, Yi-chao Chen
{"title":"The Thickness of Some Complete Bipartite and Tripartite Graphs","authors":"Si-wei Hu,&nbsp;Yi-chao Chen","doi":"10.1007/s10255-024-1128-1","DOIUrl":"10.1007/s10255-024-1128-1","url":null,"abstract":"<div><p>In this paper, we obtain the thickness for some complete <i>k</i>–partite graphs for <i>k</i> = 2, 3. We first compute the thickness of <i>K</i><sub><i>n,n</i>+8</sub> by giving a planar decomposition of <i>K</i><sub>4<i>k</i>−1,4<i>k</i>+7</sub> for <i>k</i> ≥ 3. Then, two planar decompositions for <i>K</i><sub>1,<i>g,g</i>(<i>g</i>−1)</sub> when <i>g</i> is even and for <span>(K_{1,g,{1over{2}}(g-1)^{2}})</span> when <i>g</i> is odd are obtained. Using a recursive construction, we also obtain the thickness for some complete tripartite graphs. The results here support the long-standing conjecture that the thickness of <i>K</i><sub><i>m,n</i></sub> is <span>(lceil {mnover{2(m+n-2)}}rceil)</span> for any positive integers <i>m, n</i>.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"40 4","pages":"1001 - 1014"},"PeriodicalIF":0.9,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587903","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
Conflict-free Incidence Coloring of Outer-1-planar Graphs 外-1-平面图的无冲突入射着色
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-11-06 DOI: 10.1007/s10255-024-1033-7
Meng-ke Qi, Xin Zhang
{"title":"Conflict-free Incidence Coloring of Outer-1-planar Graphs","authors":"Meng-ke Qi,&nbsp;Xin Zhang","doi":"10.1007/s10255-024-1033-7","DOIUrl":"10.1007/s10255-024-1033-7","url":null,"abstract":"<div><p>An incidence of a graph <i>G</i> is a vertex-edge pair (<i>v, e</i>) such that <i>v</i> is incidence with <i>e</i>. A conflict-free incidence coloring of a graph is a coloring of the incidences in such a way that two incidences (<i>u, e</i>) and (<i>v, f</i>) get distinct colors if and only if they conflict each other, i.e., (i) <i>u = v</i>, (ii) <i>uv</i> is <i>e</i> or <i>f</i>, or (iii) there is a vertex <i>w</i> such that <i>uw</i> = <i>e</i> and <i>vw</i> = <i>f</i>. The minimum number of colors used among all conflict-free incidence colorings of a graph is the conflict-free incidence chromatic number. A graph is outer-1-planar if it can be drawn in the plane so that vertices are on the outer-boundary and each edge is crossed at most once. In this paper, we show that the conflict-free incidence chromatic number of an outer-1-planar graph with maximum degree Δ is either 2Δ or 2Δ + 1 unless the graph is a cycle on three vertices, and moreover, all outer-1-planar graphs with conflict-free incidence chromatic number 2Δ or 2Δ + 1 are completely characterized. An efficient algorithm for constructing an optimal conflict-free incidence coloring of a connected outer-1-planar graph is given.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"40 4","pages":"929 - 942"},"PeriodicalIF":0.9,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587781","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
The Ananthakrishna Model Under Non-synchronous Perturbation 非同步扰动下的阿南塔克里什纳模型
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-11-06 DOI: 10.1007/s10255-024-1077-8
Yi-wen Tao, Sue Ann Campbell, Jing-li Ren
{"title":"The Ananthakrishna Model Under Non-synchronous Perturbation","authors":"Yi-wen Tao,&nbsp;Sue Ann Campbell,&nbsp;Jing-li Ren","doi":"10.1007/s10255-024-1077-8","DOIUrl":"10.1007/s10255-024-1077-8","url":null,"abstract":"<div><p>The Ananthakrishna model, seeking to explain the Portevin-Le Chatelier effect, is studied with or without non-synchronous perturbations. For the unperturbed model, Bogdanov-Takens bifurcation and zero-Hopf bifurcation are detected. For the perturbed model, rich dynamical behaviors are given by researching the Poincaré map, including solutions of different periods, quasi-periodic solutions, chaotic solutions, and bistability. Moreover, an augmented temperature-dependent perturbation amplitude induces a transition from non-serrated to serrated flow on the stress-time curve. Notably, on the stress-strain curve, the phenomenon of repeated yielding diminishes with an increase in the value of a temperature-dependent parameter, while it persists with an increase in the value of a temperature-independent parameter. Sensitivity analysis sheds light on the factors exerting the most significant influence on dislocation density.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"40 4","pages":"1078 - 1097"},"PeriodicalIF":0.9,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587788","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
Backward Doubly Stochastic Differential Equations with Stochastic Non-Lipschitz Coefficients 具有随机非 Lipschitz 系数的后向双随机微分方程
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-11-06 DOI: 10.1007/s10255-024-1137-0
Si-yan Xu, Yi-dong Zhang
{"title":"Backward Doubly Stochastic Differential Equations with Stochastic Non-Lipschitz Coefficients","authors":"Si-yan Xu,&nbsp;Yi-dong Zhang","doi":"10.1007/s10255-024-1137-0","DOIUrl":"10.1007/s10255-024-1137-0","url":null,"abstract":"<div><p>In this paper, we prove an existence and uniqueness theorem for backward doubly stochastic differential equations under a new kind of stochastic non-Lipschitz condition which involves stochastic and time-dependent condition. As an application, we use the result to obtain the existence of stochastic viscosity solution for some nonlinear stochastic partial differential equations under stochastic non-Lipschitz conditions.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"40 4","pages":"908 - 928"},"PeriodicalIF":0.9,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587901","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
Lp Solution of Reflected BSDEs with One Continuous Barrier and Quasi-linear Growth Generators 具有一个连续障碍和准线性增长发生器的反射 BSDE 的 Lp 解法
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-11-06 DOI: 10.1007/s10255-024-1133-4
Sheng-jun Fan
{"title":"Lp Solution of Reflected BSDEs with One Continuous Barrier and Quasi-linear Growth Generators","authors":"Sheng-jun Fan","doi":"10.1007/s10255-024-1133-4","DOIUrl":"10.1007/s10255-024-1133-4","url":null,"abstract":"<div><p>This paper is devoted to solving a reflected backward stochastic differential equation (BSDE in short) with one continuous barrier and a quasi-linear growth generator <i>g</i>, which has a linear growth in (<i>y</i>, <i>z</i>), except the upper direction in case of <i>y</i> &lt; 0, and is more general than the usual linear growth generator. By showing the convergence of a penalization scheme we prove existence and comparison theorem of the minimal <i>L</i><sup><i>p</i></sup> (<i>p</i> &gt; 1) solutions for the reflected BSDEs. We also prove that the minimal <i>L</i><sup><i>p</i></sup> solution can be approximated by a sequence of <i>L</i><sup><i>p</i></sup> solutions of certain reflected BSDEs with Lipschitz generators.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"40 4","pages":"943 - 953"},"PeriodicalIF":0.9,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587906","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信