Acta Mathematicae Applicatae Sinica, English Series最新文献_第8页

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

引用次数: 0

On β-extinction and Stability of a Stochastic Lotka-Volterra System with Infinite Delay 论具有无限延迟的随机 Lotka-Volterra 系统的 β 消亡和稳定性

IF 0.9 4区数学

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-11-06 DOI: 10.1007/s10255-024-1078-7

Shu-fen Zhao

引用次数: 0

Global Weak Solutions to a Fluid-particle System of an Incompressible Non-Newtonian Fluid and the Vlasov Equation 不可压缩非牛顿流体的流体-粒子系统和弗拉索夫方程的全局弱解法

IF 0.9 4区数学

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-11-06 DOI: 10.1007/s10255-024-1080-0

Pei-yu Zhang, Li Fang, Zhen-hua Guo

引用次数: 0

On the Initial Layer and the Limit Behavior for Chemotaxis System with the Effect of Fluid in Fourier Space 论傅立叶空间中具有流体效应的趋化系统的初始层和极限行为

IF 0.9 4区数学

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-11-06 DOI: 10.1007/s10255-024-1134-3

Jian-xiang Wan, Hai-ping Zhong

{"title":"On the Initial Layer and the Limit Behavior for Chemotaxis System with the Effect of Fluid in Fourier Space","authors":"Jian-xiang Wan, Hai-ping Zhong","doi":"10.1007/s10255-024-1134-3","DOIUrl":"10.1007/s10255-024-1134-3","url":null,"abstract":"<div>The paper deals with a Cauchy problem for the chemotaxis system with the effect of fluid <div><div>$$left{ {matrix{ {u_t^varepsilon + {u^varepsilon } cdot nabla {u^varepsilon } - Delta {u^varepsilon } + nabla {{rm{P}}^varepsilon } = {n^varepsilon }nabla {c^varepsilon },} hfill & {{rm{in}}} hfill & {{mathbb{R}^d} times left( {0,infty } right),} hfill cr {nabla cdot {u^varepsilon } = 0,} hfill & {{rm{in}}} hfill & {{mathbb{R}^d} times left( {0,infty } right),} hfill cr {n_t^varepsilon + {u^varepsilon } cdot nabla {n^varepsilon } - Delta {n^varepsilon } = - nabla cdot left( {{n^varepsilon }nabla {c^varepsilon }} right),} hfill & {{rm{in}}} hfill & {{mathbb{R}^d} times left( {0,infty } right),} hfill cr {{1 over varepsilon }c_t^varepsilon - Delta {c^varepsilon } = {n^varepsilon },} hfill & {{rm{in}}} hfill & {{mathbb{R}^d} times left( {0,infty } right),} hfill cr {left( {{u^varepsilon },{n^varepsilon },{c^varepsilon }} right){|_{t = 0}} = left( {{u_0},{n_0},{c_0}} right),} hfill & {{rm{in}}} hfill & {{mathbb{R}^d},} hfill cr } } right.$$</div></div> where d ≥ 2. It is known that for each ϵ > 0 and all sufficiently small initial data (u0, n0, c0) belongs to certain Fourier space, the problem possesses a unique global solution (uϵ, nϵ, cϵ) in Fourier space. The present work asserts that these solutions stabilize to (u∞, n∞, c∞) as ϵ−1 → 0. Moreover, we show that cϵ(t) has the initial layer as ϵ−1 → 0. As one expects its limit behavior maybe give a new viewlook to understand the system.</div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"40 4","pages":"1015 - 1024"},"PeriodicalIF":0.9,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10255-024-1134-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587905","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Traveling Fronts for a Time-periodic Population Model with Dispersal 有散布的时周期种群模型的移动前沿

IF 0.9 4区数学

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-11-06 DOI: 10.1007/s10255-024-1052-4

Hai-qin Zhao

引用次数: 0

Temporal Second-order Scheme for a Hidden-memory Variable Order Time Fractional Diffusion Equation with an Initial Singularity 具有初始奇点的隐记变阶时间分式扩散方程的时序二阶方案

IF 0.9 4区数学

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-11-06 DOI: 10.1007/s10255-024-1054-2

Rui-lian Du, Zhi-zhong Sun

引用次数: 0

Chaotic Motions of the van der Pol-Duffing Oscillator Subjected to Periodic External and Parametric Excitations with Delayed Feedbacks 范德尔波尔-杜芬振荡器在周期性外部和参数激励下的混沌运动与延迟反馈

IF 0.9 4区数学

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-11-06 DOI: 10.1007/s10255-024-1038-2

Liang-qiang Zhou, Fang-qi Chen

引用次数: 0

A Test of U-type for Goodness-of-fit in Regression Models Through Martingale Difference Divergence 通过马丁格尔差分对回归模型拟合优度的 U 型检验

IF 0.9 4区数学

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-11-06 DOI: 10.1007/s10255-024-1132-5

Kai Xu, Yan-qin Nie, Dao-jiang He

{"title":"A Test of U-type for Goodness-of-fit in Regression Models Through Martingale Difference Divergence","authors":"Kai Xu, Yan-qin Nie, Dao-jiang He","doi":"10.1007/s10255-024-1132-5","DOIUrl":"10.1007/s10255-024-1132-5","url":null,"abstract":"<div>Based on the martingale difference divergence, a recently proposed metric for quantifying conditional mean dependence, we introduce a consistent test of U-type for the goodness-of-fit of linear models under conditional mean restriction. Methodologically, our test allows heteroscedastic regression models without imposing any condition on the distribution of the error, utilizes effectively important information contained in the distance of the vector of covariates, has a simple form, is easy to implement, and is free of the subjective choice of parameters. Theoretically, our mathematical analysis is of own interest since it does not take advantage of the empirical process theory and provides some insights on the asymptotic behavior of U-statistic in the framework of model diagnostics. The asymptotic null distribution of the proposed test statistic is derived and its asymptotic power behavior against fixed alternatives and local alternatives converging to the null at the parametric rate is also presented. In particular, we show that its asymptotic null distribution is very different from that obtained for the true error and their differences are interestingly related to the form expression for the estimated parameter vector embodied in regression function and a martingale difference divergence matrix. Since the asymptotic null distribution of the test statistic depends on data generating process, we propose a wild bootstrap scheme to approximate its null distribution. The consistency of the bootstrap scheme is justified. Numerical studies are undertaken to show the good performance of the new test.</div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"40 4","pages":"979 - 1000"},"PeriodicalIF":0.9,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587786","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 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 0.9 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":"10.1007/s10255-024-1096-5","url":null,"abstract":"<div>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 R0 < 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 R0 > 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 R0, but also with the growth rate of normal vascular endothelial cells promoted by the vascular endothelial growth factor.</div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 1","pages":"200 - 233"},"PeriodicalIF":0.9,"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 0.9 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":"10.1007/s10255-024-1050-6","url":null,"abstract":"<div>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.</div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"40 3","pages":"758 - 777"},"PeriodicalIF":0.9,"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