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
Global Dynamics of a Kawasaki Disease Vascular Endothelial Cell Injury Model with Backward Bifurcation and Hopf Bifurcation 带有后向分岔和霍普夫分岔的川崎病血管内皮细胞损伤模型的全局动力学研究
IF 0.8 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-07-03 DOI: 10.1007/s10255-024-1096-5
Ke Guo, Wan-biao Ma
{"title":"Global Dynamics of a Kawasaki Disease Vascular Endothelial Cell Injury Model with Backward Bifurcation and Hopf Bifurcation","authors":"Ke Guo, Wan-biao Ma","doi":"10.1007/s10255-024-1096-5","DOIUrl":"https://doi.org/10.1007/s10255-024-1096-5","url":null,"abstract":"<p>Kawasaki disease (KD) is an acute, febrile, systemic vasculitis that mainly affects children under five years of age. In this paper, we propose and study a class of 5-dimensional ordinary differential equation model describing the vascular endothelial cell injury in the lesion area of KD. This model exhibits forward/backward bifurcation. It is shown that the vascular injury-free equilibrium is locally asymptotically stable if the basic reproduction number <i>R</i><sub>0</sub> &lt; 1. Further, we obtain two types of suffcient conditions for the global asymptotic stability of the vascular injury-free equilibrium, which can be applied to both the forward and backward bifurcation cases. In addition, the local and global asymptotic stability of the vascular injury equilibria and the presence of Hopf bifurcation are studied. It is also shown that the model is permanent if the basic reproduction number <i>R</i><sub>0</sub> &gt; 1, and some explicit analytic expressions of ultimate lower bounds of the solutions of the model are given. Our results suggest that the control of vascular injury in the lesion area of KD is not only correlated with the basic reproduction number <i>R</i><sub>0</sub>, but also with the growth rate of normal vascular endothelial cells promoted by the vascular endothelial growth factor.</p>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141521362","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
Equilibrium Reinsurance Strategy and Mean Residual Life Function 均衡再保险策略和平均剩余寿命函数
IF 0.8 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-06-05 DOI: 10.1007/s10255-024-1050-6
Dan-ping Li, Lv Chen, Lin-yi Qian, Wei Wang
{"title":"Equilibrium Reinsurance Strategy and Mean Residual Life Function","authors":"Dan-ping Li, Lv Chen, Lin-yi Qian, Wei Wang","doi":"10.1007/s10255-024-1050-6","DOIUrl":"https://doi.org/10.1007/s10255-024-1050-6","url":null,"abstract":"<p>In this paper, we analyze the relationship between the equilibrium reinsurance strategy and the tail of the distribution of the risk. Since Mean Residual Life (MRL) has a close relationship with the tail of the distribution, we consider two classes of risk distributions, Decreasing Mean Residual Life (DMRL) and Increasing Mean Residual Life (IMRL) distributions, which can be used to classify light-tailed and heavy-tailed distributions, respectively. We assume that the underlying risk process is modelled by the classical Cramér-Lundberg model process. Under the mean-variance criterion, by solving the extended Hamilton-Jacobi-Bellman equation, we derive the equilibrium reinsurance strategy for the insurer and the reinsurer under DMRL and IMRL, respectively. Furthermore, we analyze how to choose the reinsurance premium to make the insurer and the reinsurer agree with the same reinsurance strategy. We find that under the case of DMRL, if the distribution and the risk aversions satisfy certain conditions, the insurer and the reinsurer can adopt a reinsurance premium to agree on a reinsurance strategy, and under the case of IMRL, the insurer and the reinsurer can only agree with each other that the insurer do not purchase the reinsurance.</p>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141256213","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
Incidence Coloring of Outer-1-planar Graphs 外-1-平面图的入射着色
IF 0.8 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-06-05 DOI: 10.1007/s10255-024-1126-3
Meng-ke Qi, Xin Zhang
{"title":"Incidence Coloring of Outer-1-planar Graphs","authors":"Meng-ke Qi, Xin Zhang","doi":"10.1007/s10255-024-1126-3","DOIUrl":"https://doi.org/10.1007/s10255-024-1126-3","url":null,"abstract":"<p>A graph is outer-1-planar if it can be drawn in the plane so that all vertices lie on the outer-face and each edge crosses at most one another edge. It is known that every outer-1-planar graph is a planar partial 3-tree. In this paper, we conjecture that every planar graph <i>G</i> has a proper incidence (Δ(<i>G</i>) + 2)-coloring and confirm it for outer-1-planar graphs with maximum degree at least 8 or with girth at least 4. Specifically, we prove that every outer-1-planar graph <i>G</i> has an incidence (Δ(<i>G</i>) + 3, 2)-coloring, and every outer-1-planar graph <i>G</i> with maximum degree at least 8 or with girth at least 4 has an incidence (Δ(<i>G</i>) + 2, 2)-coloring.</p>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141256357","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
Barrier Option Pricing in Regime Switching Models with Rebates 有回扣的制度转换模型中的障碍期权定价
IF 0.8 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-06-05 DOI: 10.1007/s10255-024-1053-3
Yue-xu Zhao, Jia-yong Bao
{"title":"Barrier Option Pricing in Regime Switching Models with Rebates","authors":"Yue-xu Zhao, Jia-yong Bao","doi":"10.1007/s10255-024-1053-3","DOIUrl":"https://doi.org/10.1007/s10255-024-1053-3","url":null,"abstract":"<p>This paper is concerned with the valuation of single and double barrier knock-out call options in a Markovian regime switching model with specific rebates. The integral formulas of the rebates are derived via matrix Wiener-Hopf factorizations and Fourier transform techniques, also, the integral representations of the option prices are constructed. Moreover, the first-passage time density functions in two-state regime model are derived. As applications, several numerical algorithms and numerical examples are presented.</p>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141256262","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
Long-time Asymptotics for the Reverse Space-time Nonlocal Hirota Equation with Decaying Initial Value Problem: without Solitons 具有衰减初值问题的反向时空非局部广达方程的长时渐近线：无孤子
IF 0.8 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-06-05 DOI: 10.1007/s10255-024-1121-8
Wei-qi Peng, Yong Chen
{"title":"Long-time Asymptotics for the Reverse Space-time Nonlocal Hirota Equation with Decaying Initial Value Problem: without Solitons","authors":"Wei-qi Peng, Yong Chen","doi":"10.1007/s10255-024-1121-8","DOIUrl":"https://doi.org/10.1007/s10255-024-1121-8","url":null,"abstract":"<p>In this work, we mainly consider the Cauchy problem for the reverse space-time nonlocal Hirota equation with the initial data rapidly decaying in the solitonless sector. Start from the Lax pair, we first construct the basis Riemann-Hilbert problem for the reverse space-time nonlocal Hirota equation. Furthermore, using the approach of Deift-Zhou nonlinear steepest descent, the explicit long-time asymptotics for the reverse space-time nonlocal Hirota is derived. For the reverse space-time nonlocal Hirota equation, since the symmetries of its scattering matrix are different with the local Hirota equation, the <i>ϑ</i>(<i>λ</i><sub><i>i</i></sub>) (<i>i</i> = 0, 1) would like to be imaginary, which results in the <span>(delta _{{{rm{lambda}}_i}}^0)</span> contains an increasing <span>(t{{pm ,Imvartheta ({{rm{lambda}}_i})} over 2})</span>, and then the asymptotic behavior for nonlocal Hirota equation becomes differently.</p>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141256245","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
Infinitely Many Solutions for a Class of Quasi-linear Elliptic Problem 一类准线性椭圆问题的无限多解
IF 0.8 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-06-05 DOI: 10.1007/s10255-024-1091-x
Xiao-yao Jia, Zhen-luo Lou
{"title":"Infinitely Many Solutions for a Class of Quasi-linear Elliptic Problem","authors":"Xiao-yao Jia, Zhen-luo Lou","doi":"10.1007/s10255-024-1091-x","DOIUrl":"https://doi.org/10.1007/s10255-024-1091-x","url":null,"abstract":"<p>In this paper, we study the following quasi-linear elliptic equation</p><span>$$left{{matrix{{- ,{rm{div(}}phi {rm{(}}left| {nabla u} right|{rm{)}}nabla u{rm{) = lambda}}psi {rm{(}}left| u right|{rm{)}}u + ,varphi {rm{(}}left| u right|{rm{)}}u,,,,,{rm{in}},,,Omega,,,,} cr {u = 0,,,,,,,,{rm{on}},,partial Omega {rm{,}},,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,} cr}} right.$$</span><p>where Ω ⊂ ℝ<sup><i>N</i></sup> is a bounded domain, λ &gt; 0 is a parameter. The function <i>ψ</i>(∣<i>t</i>∣)<i>t</i> is the subcritical term, and <i>ϕ</i>(∣<i>t</i>∣)<i>t</i> is the critical Orlicz-Sobolev growth term with respect to <i>φ</i>. Under appropriate conditions on <i>φ</i>, <i>ψ</i> and <i>ϕ</i>, we prove the existence of infinitely many weak solutions for quasi-linear elliptic equation, for <i>λ</i> ∈ (0, <i>λ</i><sub>0</sub>), where <i>λ</i><sub>0</sub> &gt; 0 is a fixed constant.</p>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141256449","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
Global Phase Portraits of Uniform Isochronous Centers System of Degree Six with Polynomial Commutator 具有多项式换向器的六度均匀等时中心系统的全局相位特征
IF 0.8 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-06-05 DOI: 10.1007/s10255-024-1081-z
Li-na Guo, Ai-yong Chen, Shuai-feng Zhao
{"title":"Global Phase Portraits of Uniform Isochronous Centers System of Degree Six with Polynomial Commutator","authors":"Li-na Guo, Ai-yong Chen, Shuai-feng Zhao","doi":"10.1007/s10255-024-1081-z","DOIUrl":"https://doi.org/10.1007/s10255-024-1081-z","url":null,"abstract":"<p>This paper studies the global phase portraits of uniform isochronous centers system of degree six with polynomial commutator. Such systems have the form <span>(dot x = - y + xf(x,,y),,,dot y = x + yf(x,,y))</span>, where <i>f</i>(<i>x, y</i>) = <i>a</i><sub>1</sub><i>x</i> + <i>a</i><sub>2</sub><i>xy</i> + <i>a</i><sub>3</sub><i>xy</i><sup>2</sup> + <i>a</i><sub>4</sub><i>xy</i><sup>3</sup> + <i>a</i><sub>5</sub><i>xy</i><sup>4</sup> = <i>xσ</i>(<i>y</i>), and any zero of 1 + <i>a</i><sub>1</sub><i>y</i> + <i>a</i><sub>2</sub><i>y</i><sup>2</sup> + <i>a</i><sub>3</sub><i>y</i><sup>3</sup> + <i>a</i><sub>4</sub><i>y</i><sup>4</sup> + <i>a</i><sub>5</sub><i>y</i><sup>5</sup>, <span>(y = bar y)</span> is an invariant straight line. At last, all global phase portraits are drawn on the Poincaré disk.</p>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141256036","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
Derivation of Expanded Isospectral-Nonisospectral Integrable Hierarchies via the Column-vector Loop Algebra 通过柱向量环代数推导扩展等谱-非等谱可积分层次结构
IF 0.8 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-06-05 DOI: 10.1007/s10255-024-1047-1
Hai-feng Wang, Yu-feng Zhang
{"title":"Derivation of Expanded Isospectral-Nonisospectral Integrable Hierarchies via the Column-vector Loop Algebra","authors":"Hai-feng Wang, Yu-feng Zhang","doi":"10.1007/s10255-024-1047-1","DOIUrl":"https://doi.org/10.1007/s10255-024-1047-1","url":null,"abstract":"<p>A scheme for generating nonisospectral integrable hierarchies is introduced. Based on the method, we deduce a nonisospectral hierarchy of soliton equations by considering a linear spectral problem. It follows that the corresponding expanded isospectral and nonisospectral integrable hierarchies are deduced based on a 6 dimensional complex linear space <span>(widetilde{mathbb{C}}^{6})</span>. By reducing these integrable hierarchies, we obtain the expanded isospectral and nonisospectral derivative nonlinear Schrödinger equation. By using the trace identity, the bi-Hamiltonian structure of these two hierarchies are also obtained. Moreover, some symmetries and conserved quantities of the resulting hierarchy are discussed.</p>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141256096","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
A Degree Condition for Graphs Having All (a, b)-parity Factors 具有所有 (a, b) 奇偶因子的图的度条件
IF 0.8 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-06-05 DOI: 10.1007/s10255-024-1090-y
Hao-dong Liu, Hong-liang Lu
{"title":"A Degree Condition for Graphs Having All (a, b)-parity Factors","authors":"Hao-dong Liu, Hong-liang Lu","doi":"10.1007/s10255-024-1090-y","DOIUrl":"https://doi.org/10.1007/s10255-024-1090-y","url":null,"abstract":"<p>Let <i>a</i> and <i>b</i> be positive integers such that <i>a</i> ≤ <i>b</i> and <i>a</i> ≡ <i>b</i> (mod 2). We say that <i>G</i> has all (<i>a, b</i>)-parity factors if <i>G</i> has an <i>h</i>-factor for every function <i>h</i>: <i>V</i>(<i>G</i>) → {<i>a, a</i> + 2, ⋯, <i>b</i> − 2, <i>b</i>} with <i>b</i>∣<i>V</i>(<i>G</i>)∣ even and <i>h</i>(<i>v</i>) ≡ <i>b</i> (mod 2) for all <i>v</i> ∈ <i>V</i>(<i>G</i>). In this paper, we prove that every graph <i>G</i> with <i>n</i> ≥ 2(<i>b</i> + 1)(<i>a</i> + <i>b</i>) vertices has all (<i>a, b</i>)-parity factors if <i>δ</i>(<i>G</i>) ≥ (<i>b</i><sup>2</sup> − <i>b</i>)/<i>a</i>, and for any two nonadjacent vertices <span>(u,,v, in ,V,(G),,max {{d_G}(u),,{d_G}(v)} , ge {{bn} over {a + b}})</span>. Moreover, we show that this result is best possible in some sense.</p>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141256211","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
On the Strong Approximation for a Simple Reentrant Line in Light Traffic Under First-buffer First-served Service Discipline 论 "先缓冲先服务 "纪律下轻度交通中简单重入线的强近似值
IF 0.8 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-06-05 DOI: 10.1007/s10255-024-1093-8
Kai-ming Yang, Yong-jiang Guo
{"title":"On the Strong Approximation for a Simple Reentrant Line in Light Traffic Under First-buffer First-served Service Discipline","authors":"Kai-ming Yang, Yong-jiang Guo","doi":"10.1007/s10255-024-1093-8","DOIUrl":"https://doi.org/10.1007/s10255-024-1093-8","url":null,"abstract":"<p>For a 2-station and 3-class reentrant line under first-buffer first-served (FBFS) service discipline in light traffic, we firstly construct the strong approximations for performance measures including the queue length, workload, busy time and idle time processes. Based on the obtained strong approximations, we use a strong approximation method to find all the law of the iterated logarithms (LILs) for the above four performance measures, which are expressed as some functions of system parameters: means and variances of interarrival and service times, and characterize the fluctuations around their fluid approximations.</p>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141256633","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
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