Mathematics and Computers in Simulation最新文献_第2页

Stability, bifurcation and characteristics of chaos in a new commensurate and incommensurate fractional-order ecological system 一种新的相称与不相称分数阶生态系统的稳定性、分岔与混沌特征

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-04-17 DOI: 10.1016/j.matcom.2025.04.015

Jiayi Liu, Ruihong Li, Dongmei Huang

{"title":"Stability, bifurcation and characteristics of chaos in a new commensurate and incommensurate fractional-order ecological system","authors":"Jiayi Liu, Ruihong Li, Dongmei Huang","doi":"10.1016/j.matcom.2025.04.015","DOIUrl":"10.1016/j.matcom.2025.04.015","url":null,"abstract":"<div><div>In this paper, a new incommensurate fractional-order ecological system describing the interaction between permafrost melting, vegetation degradation and temperature is introduced to explore its dynamical behavior. At first, the existence and uniqueness of the new system is proved utilizing Picard’s operator and Banach fixed-point theorem. Next, the influence of simultaneous changing system parameter and fractional orders on the stability of the incommensurate system is discussed, and the degree of influence of each fractional order is visually compared and analyzed. In addition, it is also indicated that parameter changes can cause the static bifurcation. Subsequently, the sufficient conditions and an analytical expression for the critical value of Hopf bifurcation caused by system parameter in the incommensurate fractional-order ecological system are provided for the first time, and the bifurcation diagrams are utilized to verify the result. Furthermore, by observing the bifurcation diagram of incommensurate and corresponding commensurate system, it can be deduced that changes in the fractional orders of incommensurate system can cause Hopf bifurcation to be postponed or advanced. Then, the chaotic behaviors of commensurate and incommensurate system are explored by utilizing multiple numerical indicators. It is worth noting that there exists a path from quasi-periodic motion to chaos in the system. Finally, the chaotic domain is proposed to investigate the influence of fractional orders and parameter on chaotic behaviors in the incommensurate fractional-order system.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"236 ","pages":"Pages 248-269"},"PeriodicalIF":4.4,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143864956","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 diffusive SIS epidemic model in a heterogeneous environment: Random dispersion vs. nonlocal dispersion 异质环境中的扩散SIS流行病模型：随机分散与非局部分散

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-04-13 DOI: 10.1016/j.matcom.2025.03.032

Salih Djilali , Yuming Chen , Shaofen Zou

{"title":"A diffusive SIS epidemic model in a heterogeneous environment: Random dispersion vs. nonlocal dispersion","authors":"Salih Djilali , Yuming Chen , Shaofen Zou","doi":"10.1016/j.matcom.2025.03.032","DOIUrl":"10.1016/j.matcom.2025.03.032","url":null,"abstract":"<div><div>This research studies a spatiotemporal SIS epidemic model that incorporates both long-range and small-range mobilities to represent the two distinct diffusion strategies, local and nonlocal. The nonlocal dispersion operator is used to capture the long-range mobility of the susceptible, which can diffuse freely through the studied domain. The random diffusion is employed to account for the limitations imposed on the movement of the infected, which are allowed to disperse locally in the neighborhood of the original point. We also assume that the studied space is heterogeneous, which means that all parameters are assumed to be space-dependent. This poses significant challenges to the stability analysis for the steady states as well as the discussion on the existence of endemic steady states, and studying the asymptotic profiles of endemic steady states. The analysis is conducted in terms of the basic reproduction number, which serves as a threshold parameter. We also investigate the asymptotic profiles of endemic steady states when dispersal rates tend to zero or infinity. The findings have implications for disease modeling and control due to insights into the effects of different mechanisms of mobility on epidemic dynamics and provide useful information on the efficiency of mobility control in containing the epidemic.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"236 ","pages":"Pages 90-110"},"PeriodicalIF":4.4,"publicationDate":"2025-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143833595","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Generalized replicator dynamics based on mean-field pairwise comparison dynamic 基于平均场两两比较动力学的广义复制因子动力学

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-04-11 DOI: 10.1016/j.matcom.2025.04.010

Hidekazu Yoshioka

引用次数: 0

Optimization of a price break policy and advertisement effort based non-instantaneous deteriorating inventory problem with partial backlogged via metaheuristic algorithms 基于元启发式算法的部分积压非瞬时变质库存问题的降价策略和广告效果优化

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-04-10 DOI: 10.1016/j.matcom.2025.04.007

Rajan Mondal , Amalesh Kumar Manna , Md Akhtar , Asoke Kumar Bhunia

{"title":"Optimization of a price break policy and advertisement effort based non-instantaneous deteriorating inventory problem with partial backlogged via metaheuristic algorithms","authors":"Rajan Mondal , Amalesh Kumar Manna , Md Akhtar , Asoke Kumar Bhunia","doi":"10.1016/j.matcom.2025.04.007","DOIUrl":"10.1016/j.matcom.2025.04.007","url":null,"abstract":"<div><div>Repeated advertisements of an item in different media, displayed stock in a decorated showroom, and also price break policies play a vital role in an inventory control system. Also, the relationship between products’ selling price and market demand is conflicting when all other factors are fixed. Thus, the incorporation of advertisement policy and price break facility in a business is more realistic. This work investigates an inventory problem for non-instantaneous deteriorating items with advertisement and displayed inventory level dependent demand under price break facility. Moreover, partially backlogged shortages and transportation cost for replenishing items are considered in the proposed inventory model. Based on the customer’s demand and storage space of the shop, several cases and sub-cases are considered. In this study, different metaheuristic algorithms are considered for maximizing the average profit in each scenario. Then, considering one numerical example, the proposed model is justified. Finally, the sensitivity analysis is carried out to investigate the impact of model parameters on the policy of optimality and a fruitful conclusion is drawn.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"236 ","pages":"Pages 221-247"},"PeriodicalIF":4.4,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143851395","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Efficient valuation of joint life variable annuities with guaranteed minimum death benefits 保证最低死亡抚恤金的共同人寿可变年金的有效估值

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-04-10 DOI: 10.1016/j.matcom.2025.04.001

Jiayi Xie , Zhimin Zhang , Zhenyu Cui

引用次数: 0

Impact of cross-diffusion and Allee effect on modified Leslie–Gower model 交叉扩散和Allee效应对修正Leslie-Gower模型的影响

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-04-10 DOI: 10.1016/j.matcom.2025.03.031

Sidharth Menon, Sangeeta Kumari

{"title":"Impact of cross-diffusion and Allee effect on modified Leslie–Gower model","authors":"Sidharth Menon, Sangeeta Kumari","doi":"10.1016/j.matcom.2025.03.031","DOIUrl":"10.1016/j.matcom.2025.03.031","url":null,"abstract":"<div><div>A modified Leslie–Gower model with cross-diffusion and Allee effect is studied. First temporal dynamics of the system is analyzed and the existence of equilibrium points and their corresponding stability analysis are performed. Variation in the Allee effect parameter results in saddle node and Hopf bifurcations. Further, the spatio-temporal model is analyzed and observed that as cross-diffusion gradually increases, prey and predator disperse over the region. Turing instability conditions are derived for cross-diffusion and stability analysis of the amplitude equations is computed to identify the type of the Turing pattern. Analytical conclusions are validated through numerical simulations. As the Allee effect increases, it affects the spatial and temporal dynamics of the prey population. Turing pattern changes from spots to stripes, indicating a large dispersion and a variety of predator interactions, which reduces confinement to secure small areas. In the absence of cross-diffusion, there will be a positive correlation between prey and predator populations. In contrast, when cross-diffusion is present, a negative correlation between prey and predator populations arises.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"236 ","pages":"Pages 183-199"},"PeriodicalIF":4.4,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143839291","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Hierarchical PV to PV series differential power processing for photovoltaic applications: Power flow and converter rating analysis 光伏应用的分层PV到PV串联差分功率处理：功率流和转换器额定分析

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-04-09 DOI: 10.1016/j.matcom.2025.04.009

Afshin Nazer , Patrizio Manganiello , Olindo Isabella

引用次数: 0

Event-triggered synchronization for multi-agent networked systems with time-varying coupling strength and non-differentiable delays 具有时变耦合强度和不可微延迟的多智能体网络系统的事件触发同步

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-04-08 DOI: 10.1016/j.matcom.2025.03.029

Chengbo Yi , Jialun Li , Jiayi Cai , Ze You , Chenglin Jing

引用次数: 0

IMACS Calendar of Events IMACS事件日历

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-04-08 DOI: 10.1016/S0378-4754(25)00129-6

引用次数: 0

News of IMACS IMACS新闻

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-04-08 DOI: 10.1016/S0378-4754(25)00128-4

引用次数: 0