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Solution of fractional modified Kawahara equation: a semi-analytic approach 分数修正川原方程的求解：一种半解析方法
Mathematics in applied sciences and engineering Pub Date : 2023-12-22 DOI: 10.5206/mase/16369
Sagar R. Khirsariya, Snehal Rao, Jignesh P. Chauhan
{"title":"Solution of fractional modified Kawahara equation: a semi-analytic approach","authors":"Sagar R. Khirsariya, Snehal Rao, Jignesh P. Chauhan","doi":"10.5206/mase/16369","DOIUrl":"https://doi.org/10.5206/mase/16369","url":null,"abstract":"The present study examines a semi-analytical method known as the Fractional Residual Power Series Method for obtaining solutions to the non-linear, time-fractional Kawahara and modified Kawahara equations. These equations are fifth-order, non-linear partial differential equations that arise in the context of shallow water waves. The analytical process and findings are compared with those obtained from the well-known Variational Iteration Method (VIM) and Homotopy Perturbation Method (HPM). The results obtained from the Fractional Residual Power Series Method are found to be more efficient, reliable, and easier to implement compared to other analytical and semi-analytical methods.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":"29 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138947280","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The minimal invasion speed of two competing species in homogeneous environment 同质环境中两个竞争物种的最小入侵速度
Mathematics in applied sciences and engineering Pub Date : 2023-11-27 DOI: 10.5206/mase/16801
Xu Li, Tingting Zhang, Qiming Zhang
{"title":"The minimal invasion speed of two competing species in homogeneous environment","authors":"Xu Li, Tingting Zhang, Qiming Zhang","doi":"10.5206/mase/16801","DOIUrl":"https://doi.org/10.5206/mase/16801","url":null,"abstract":"Biological invasion has become an important element of global changes. In this paper, we use a reaction-diffusion system to discuss the minimal invasion speed of two competing species in the homogeneous environment. The general condition for the minimum invasion speed is obtained by applying the theory of propagation dynamics. Then the explicit conditions are derived by constructing upper solutions. The analytical results are corroborated by simulations of the considered reaction-diffusion system. Our results reveal the impact of the diffusion rate, growth rate, competitiveness of the species, as well as the carrying capacity of the environment, on the invasion speed, which provides an effective method for preventing biological invasion and controlling existing biological invasion.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":"13 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139233195","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analysis of a simple mathematical model describing tuberculous granuloma 描述结核性肉芽肿的简单数学模型分析
Mathematics in applied sciences and engineering Pub Date : 2023-11-08 DOI: 10.5206/mase/16678
Yuqi Jin, Hui Cao, Xiaxia Xu
{"title":"Analysis of a simple mathematical model describing tuberculous granuloma","authors":"Yuqi Jin, Hui Cao, Xiaxia Xu","doi":"10.5206/mase/16678","DOIUrl":"https://doi.org/10.5206/mase/16678","url":null,"abstract":"This paper discusses a mathematical model describing the formation of tuberculosis(TB) granulomas. The main purpose is to analyze the change trend of Mtb and immune cells in different stages after Mtb invaded the host. The theoretical analysis indicates that the existence and global stability of bacteria-free equilibrium and bacteria-present equilibrium under different conditions. In addition, the sensitivity analysis is performed on the parameters, which determines the parameters that have the greatest impact on Mtb invading the host. The stage of no infection, the latent TB infection(LTBIs) and active TB corresponding to the clearance, survival or growth and reproduction of Mtb are displayed by the numerical simulations. The results suggest that whether the individuals infected with Mtb will be progressed to the active TB depends on the immune system of individuals.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":"358 17","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135392986","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Assessing the impact of host predation with Holling II response on the transmission of Chagas disease 评估宿主捕食与Holling II反应对恰加斯病传播的影响
Mathematics in applied sciences and engineering Pub Date : 2023-11-08 DOI: 10.5206/mase/16743
Jiahao Jiang, Daozhou Gao, Jiao Jiang, Xiaotian Wu
{"title":"Assessing the impact of host predation with Holling II response on the transmission of Chagas disease","authors":"Jiahao Jiang, Daozhou Gao, Jiao Jiang, Xiaotian Wu","doi":"10.5206/mase/16743","DOIUrl":"https://doi.org/10.5206/mase/16743","url":null,"abstract":"Chagas disease is a zoonosis caused by the protozoan parasite Trypanosoma cruzi and transmitted by a broad range of blood-sucking triatomine species. Recently, it is recognized that the parasite can also be transmitted by host ingestion. In this paper, we propose a Chagas disease model incorporating two transmission routes of biting-defecation and host predation between vectors and hosts with Holling II functional response. The basic reproduction number R_v of triatomine population and basic reproduction numbers R_0 of disease population are derived analytically, and it is shown that they are insufficient to serve as threshold quantities to determine dynamics of the model. Our results have revealed the phenomenon of bistability, with backward and forward bifurcations. Specifically, if R_v>1, the dynamic is rather simple, namely, the disease-free equilibrium is globally asymptotically stable as R_0<1 and a unique endemic equilibrium is globally asymptotically stable as R_0>1. However, if R_v<1, there exists a backward bifurcation with one unstable and one stable positive vector equilibria, and bistability phenomenon occurs, revealing that different initial conditions may lead to disease extinction or persistence even if the corresponding R_0>1. In conclusion, predation transmission in general reduces the risk of Chagas disease, whilst it makes the complexity of Chagas disease transmission, requiring an integrated strategy for the prevention and control of Chagas disease.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":"32 25","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135390992","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamical analysis of a COVID-19 model with human-to-human and environment-to-human transmissions and distributed delays 具有人传人、环境传人和分布式延迟的COVID-19模型动力学分析
Mathematics in applied sciences and engineering Pub Date : 2023-10-14 DOI: 10.5206/mase/16681
Jie Xu, Yayuan Lei, TARIQ ABDULLAH, Gang Huang
{"title":"Dynamical analysis of a COVID-19 model with human-to-human and environment-to-human transmissions and distributed delays","authors":"Jie Xu, Yayuan Lei, TARIQ ABDULLAH, Gang Huang","doi":"10.5206/mase/16681","DOIUrl":"https://doi.org/10.5206/mase/16681","url":null,"abstract":"SARS-CoV-2 can survive in different environments and remain infectious for several days, which presents challenges to eliminating infectious diseases. It encourages researchers to study the effects of SARS CoV-2 on the environment. In this paper, we formulate an epidemic model for SARS-CoV-2, which focuses on the transmission of the virus under environmental conditions. Two distributed delays are introduced to describe the probability of the exposed and infected individuals in different infection periods based on the transmission of the virus in the environment. Th positivity and boundedness of solutions of model are derived. The basic reproduction number threshold theory is established and the results demonstrate that the persistence of COVID-19 depends on the basic reproduction number. Numerical simulations are presented to verify the theoretical results. Some measures are proposed to control and eliminate COVID-19 infectious diseases.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135803896","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multiple-peak traveling waves of the Gray-Scott model Gray-Scott模型的多峰行波
Mathematics in applied sciences and engineering Pub Date : 2023-08-26 DOI: 10.5206/mase/16513
Xinfu Chen, Xin Lai, Cong Qin, Y. Qi, Yajing Zhang
{"title":"Multiple-peak traveling waves of the Gray-Scott model","authors":"Xinfu Chen, Xin Lai, Cong Qin, Y. Qi, Yajing Zhang","doi":"10.5206/mase/16513","DOIUrl":"https://doi.org/10.5206/mase/16513","url":null,"abstract":"We study a reaction-diffusion system which models the pre-mixed isothermal autocatalytic chemical reaction of order m  (m > 1) between two chemical species, a reactant A and an auto-catalyst B,   A + m B  --> (m+1) B, and a linear decay B -->C, where  C is an inert product. The special case of m = 2 is the much studied Gray-Scott model, but without feeding. We prove existence of multiple traveling waves which have distinctive number of local maximaor peaks. It shows a new and very distinctive feature of Gray-Scott type of models in generating rich and structurally different traveling pulses than related models in literature such as isothermal autocatalysis without decay, or a bio-reactor model with isothermal autocatalysis of order m + 1 with m-th order of decay.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44139249","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Optimal actuator placement for control of vibrations induced by pedestrian-bridge interactions 控制行人-桥梁相互作用引起的振动的最佳驱动器位置
Mathematics in applied sciences and engineering Pub Date : 2023-08-20 DOI: 10.5206/mase/15949
Martin Arop, H. Kasumba, Juma Kasozi, F. Berntsson
{"title":"Optimal actuator placement for control of vibrations induced by pedestrian-bridge interactions","authors":"Martin Arop, H. Kasumba, Juma Kasozi, F. Berntsson","doi":"10.5206/mase/15949","DOIUrl":"https://doi.org/10.5206/mase/15949","url":null,"abstract":"In this paper, an optimal actuator placement problem, with a linear wave equation as the constraint, is considered. In particular, this work presents the framework for finding the best location of actuators depending upon the given initial conditions, and where the dependence on the initial conditions is averaged out. The problem is motivated by the need to control vibrations induced by pedestrian-bridge interactions. An approach based on the shape optimization techniques is used to solve the problem. Specifically, the shape sensitivities involving a cost functional are determined using the averaged adjoint approach. A numerical algorithm based on these sensitivities is used as a solution strategy. Numerical tests illustrate the theoretical results.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70664520","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analysis of thermal stresses to 2D plane thermoelastic inhomogeneous strip 二维平面热弹性非均匀带材的热应力分析
Mathematics in applied sciences and engineering Pub Date : 2023-06-26 DOI: 10.5206/mase/16387
Abhijeet B. Adhe, K. Ghadle, U. Thool
{"title":"Analysis of thermal stresses to 2D plane thermoelastic inhomogeneous strip","authors":"Abhijeet B. Adhe, K. Ghadle, U. Thool","doi":"10.5206/mase/16387","DOIUrl":"https://doi.org/10.5206/mase/16387","url":null,"abstract":"This paper deals with study of the plane elasticity of thermoelastic problems for inhomogenous strip. Here, the original problems are reduced to set the governing equations in the volterra integral equations by making the use of direct integration method. Further using the iteration technique the numerical calculations has been performed. The stress distribution obtained and calculated numerically and shown graphically.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43099725","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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 weak solution of the Von Karman model with thermoelastic plates 热弹性板Von Karman模型的弱解
Mathematics in applied sciences and engineering Pub Date : 2023-06-09 DOI: 10.5206/mase/15658
M. Raissouli, J. Oudaani
{"title":"On the weak solution of the Von Karman model with thermoelastic plates","authors":"M. Raissouli, J. Oudaani","doi":"10.5206/mase/15658","DOIUrl":"https://doi.org/10.5206/mase/15658","url":null,"abstract":"The aim of this article is to study the dynamic Von-Karman model coupledwith thermoelastic equations without rotational terms, subject to a thermal dissipation. We establish the existence as well as the uniqueness of a weak solution related to the dynamic model. At the end, we apply the finite difference method for approximating the solution of our problem.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47130043","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
CONCEPTUAL MODEL OF MIXED-INTEGER LINEAR PROGRAMMING WATER DISTRIBUTION SYSTEM 混合整数线性规划配水系统概念模型
Mathematics in applied sciences and engineering Pub Date : 2023-05-22 DOI: 10.5206/mase/15591
Habiba Babangida Awwalu, N. Abdullahi, M. Hussaini
{"title":"CONCEPTUAL MODEL OF MIXED-INTEGER LINEAR PROGRAMMING WATER DISTRIBUTION SYSTEM","authors":"Habiba Babangida Awwalu, N. Abdullahi, M. Hussaini","doi":"10.5206/mase/15591","DOIUrl":"https://doi.org/10.5206/mase/15591","url":null,"abstract":"Water is a basic part of our daily lives, as such effective water supply is of paramount importance. Thus, as a result of the rise in population size and water shortage there is the need for proper, suitable and optimal utilization of water resources to efficiently be distributed among the populace. The proper allocation and distribution of water in the field of network planning need to be modelled through mathematical parameters for objective of water distribution system. This mathematical approach requires of solving an optimization problem based on multi-objective function subjected to certain constraints of mixed integer linear programming objective function which is proportional to the cost of the water distribution network. This study present a conceptual model of multi-objective optimization proposed for determination of design parameters of water distribution system by considering the significant number of constraints, decision variables, cost and reliability objective functions. The model was proposed to solve the reliability problem of water production and reduce the design and operational costs.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44516982","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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