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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":null,"pages":null},"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":null,"pages":null},"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
Steady-state dynamics in a two-patch population model with and without Allee effect 具有和不具有Allee效应的双斑块种群模型的稳态动力学
Mathematics in applied sciences and engineering Pub Date : 2023-09-22 DOI: 10.5206/mase/16474
Laurence Ketchemen Tchouaga, Frithjof Lutscher
{"title":"Steady-state dynamics in a two-patch population model with and without Allee effect","authors":"Laurence Ketchemen Tchouaga, Frithjof Lutscher","doi":"10.5206/mase/16474","DOIUrl":"https://doi.org/10.5206/mase/16474","url":null,"abstract":"Most biological populations reside in landscapes that consist of many different patches of different quality. Different species differ in their movement behavior, habitat preference and growth rates. Historically, mathematical models for population dynamics have made many simplifying assumptions, such as a single patch or homogeneous landscapes. Recent models have begun to implement landscape heterogeneity and individual movement characteristics, but many of those are based on logistic growth and linear analysis of the zero state. We consider a two-patch model with more general growth functions that can include Allee effects. We prove the existence of steady states and classify their qualitative behavior. In some special cases, we explicitly calculate their stability and use these results to give conditions for when the system exhibits bistability, i.e., the coexistence of locally stable states. We also study bifurcations with respect to the size of habitat patches and give conditions for forward and backward bifurcations.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136061376","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
Application of multi-valued rough neutrosophic set and matrix in multi-criteria decision-making 多值粗糙中性集和矩阵在多准则决策中的应用
Mathematics in applied sciences and engineering Pub Date : 2023-09-22 DOI: 10.5206/mase/16636
Donbosco Jeni Seles Martina, Ganesan Deepa
{"title":"Application of multi-valued rough neutrosophic set and matrix in multi-criteria decision-making","authors":"Donbosco Jeni Seles Martina, Ganesan Deepa","doi":"10.5206/mase/16636","DOIUrl":"https://doi.org/10.5206/mase/16636","url":null,"abstract":"Rough set concept is a methodology of information processing for relational databases. It is a unique uncertainty mathematics topic closely connected to fuzzy set theory. When the rough set is combined with neutrosophic set theory, an effective tool for working with indeterminacy arises. In this study, we defined a multi-valued rough neutrosophic set and a multi-valued rough neutrosophic matrix. Using separation measures, we introduced a new approach for a multi-valued neutrosophic with a rough structure. We consider the problem of determining the condition of dengue-affected patients in a specific hospital. Using this method, we create a multi-valued rough neutrosophic decision matrix that clearly displays the relationship between patient conditions and symptoms. We can determine which one has a serious condition by solving this problem and presenting it on the graph.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136059922","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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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
Dynamical study of the theta-logistic predator-prey model incorporating gregarious behavior of prey 考虑捕食群体行为的θ逻辑捕食-被捕食模型的动力学研究
Mathematics in applied sciences and engineering Pub Date : 2023-05-01 DOI: 10.5206/mase/15648
P. Santra, G. Mahapatra
{"title":"Dynamical study of the theta-logistic predator-prey model incorporating gregarious behavior of prey","authors":"P. Santra, G. Mahapatra","doi":"10.5206/mase/15648","DOIUrl":"https://doi.org/10.5206/mase/15648","url":null,"abstract":"Relation between species and their livelihood environment in ecological systems is very complex. For that reason, in order to study predator-prey  relations, modeling is essential in biomathematics. The vital components of predator-prey models are prey species' growth function in the absence of apredator and the functional response. In this article, we proposed a predator-prey model with gregarious prey. In the existing literature, square-root functional response incorporates the gregarious behavior of prey. This study considers the generalized square root functional response and theta-logistic growth of prey in the absence of a predator. The effect of functional response parameters on stability, limit cycle, and Hopf bifurcation on the proposed model has been discussed. Numerical analysis is performed on the basis of some hypothetical parameter values to analyze the model numerically.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48459712","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
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