Mathematics in applied sciences and engineering最新文献_第7页

Examining HIV progression mechanisms via mathematical approaches 通过数学方法研究HIV进展机制

Mathematics in applied sciences and engineering Pub Date : 2020-12-05 DOI: 10.5206/mase/10774

Wenjing Zhang, Ramnath Bhagavath, N. Madras, J. Heffernan

{"title":"Examining HIV progression mechanisms via mathematical approaches","authors":"Wenjing Zhang, Ramnath Bhagavath, N. Madras, J. Heffernan","doi":"10.5206/mase/10774","DOIUrl":"https://doi.org/10.5206/mase/10774","url":null,"abstract":"\u0000 \u0000 \u0000The progression of HIV infection to AIDS is unclear and under examined. Many mechanisms have been proposed, including a decline in immune response, increase in replication rate, involution of the thymus, syncytium inducing capacity, activation of the latently infected cell pool, chronic activation of the immune system, and the ability of the virus to infect other immune system cells. The significance of each mechanism in combination has not been studied. We develop a simple HIV viral dynamics model incorporating proposed mechanisms as parameters that are allowed to vary. In the entire parameter space, we derive two formulae for the basic reproduction number (R0) by considering the infection starting with a single infected CD4 T cell and a single virion, respectively. We show that both formulae are equivalent. We derive analytical conditions for the occurrence of backward and forward bifurcations. To investigate the influence of the proposed mechanisms to the HIV progression, we perform uncertainty and sensitivity analysis for all parameters and conduct a bifurcation analysis on all parameters that are shown to be significant, in combination, to explore various HIV/AIDS progression dynamics. \u0000 \u0000 \u0000","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43109779","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

A solution to a fractional order semilinear equation using variational method 用变分法求解一类分数阶半线性方程

Mathematics in applied sciences and engineering Pub Date : 2020-11-09 DOI: 10.5206/mase/9413

R. Karki

引用次数: 1

A family of quasi-variable meshes high-resolution compact operator scheme for Burger's-Huxley, and Burger's-Fisher equation 一类拟变量网格高分辨率紧凑算子格式的Burger - huxley和Burger - fisher方程

Mathematics in applied sciences and engineering Pub Date : 2020-11-03 DOI: 10.5206/mase/10837

Navnit Jha, Madhav Wagley

{"title":"A family of quasi-variable meshes high-resolution compact operator scheme for Burger's-Huxley, and Burger's-Fisher equation","authors":"Navnit Jha, Madhav Wagley","doi":"10.5206/mase/10837","DOIUrl":"https://doi.org/10.5206/mase/10837","url":null,"abstract":"We describe a quasi-variable meshes implicit compact finite-difference discretization having an accuracy of order four in the spatial direction and second-order in the temporal direction for obtaining numerical solution values of generalized Burger’s-Huxley and Burger’s-Fisher equations. The new difference scheme is derived for a general one-dimension quasi-linear parabolic partial differential equation on a quasi-variable meshes network to the extent that the magnitude of local truncation error of the high-order compact scheme remains unchanged in case of uniform meshes network. Practically, quasi-variable meshes high-order compact schemes yield more precise solution compared with uniform meshes high-order schemes of the same magnitude. A detailed exposition of the new scheme has been introduced and discussed the Fourier analysis based stability theory. The computational results with generalized Burger’s-Huxley equation and Burger’s-Fisher equation are obtained using quasi-variable meshes high-order compact scheme and compared with a numerical solution using uniform meshes high-order schemes to demonstrate capability and accuracy.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45366410","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

Non-local multiscale approaches for tumour-oncolytic viruses interactions 肿瘤-溶瘤病毒相互作用的非局部多尺度方法

Mathematics in applied sciences and engineering Pub Date : 2020-09-27 DOI: 10.5206/MASE/10773

Abdulhamed Alsisi, R. Eftimie, D. Trucu

引用次数: 4

Dynamical analysis of a fractional order model incorporating fear in the disease transmission rate of COVID-19 新冠肺炎疾病传播率中包含恐惧的分数阶模型的动力学分析

Mathematics in applied sciences and engineering Pub Date : 2020-08-31 DOI: 10.5206/mase/10745

D. Mukherjee, C. Maji

引用次数: 1

On mechanisms of trophic cascade caused by anti-predation response in food chain systems 食物链系统中反捕食反应引起的营养级联机制

Mathematics in applied sciences and engineering Pub Date : 2020-06-18 DOI: 10.5206/mase/10739

Yang Wang, X. Zou

{"title":"On mechanisms of trophic cascade caused by anti-predation response in food chain systems","authors":"Yang Wang, X. Zou","doi":"10.5206/mase/10739","DOIUrl":"https://doi.org/10.5206/mase/10739","url":null,"abstract":"Motivated by a recent field study [Nat. Commun. 7(2016), 10698] on the impact of fear of large carnivores on the populations in a cascading ecosystem of food chain type with the large carnivores as the top predator, in this paper we propose two model systems in the form of ordinary differential equations to mechanistically explore the cascade of such a fear effect. The models are of the Lotka-Volterra type, one is three imensional and the other four dimensional. The 3-D model only considers the cost of the anti-predation response reflected in the decrease of the production, while the 4-D model considers also the benefit of the response in reducing the predation rate, in addition to the cost by reducing the production. We perform a thorough analysis on the dynamics of the two models. The results reveal that the 3-D model and 4-model demonstrate opposite patterns for trophic cascade in terms of the dependence of population sizes for each species at the co-existence equilibrium on the anti-predation response level parameter, and such a difference is attributed to whether or not there is a benefit for the anti-predation response by the meso-carnivore species. \u0000 \u0000","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45658194","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: 3

Selected Topics on Reaction-Diffusion-Advection Models from Spatial Ecology 空间生态学中反应-扩散-平流模式的专题选择

Mathematics in applied sciences and engineering Pub Date : 2020-04-16 DOI: 10.5206/mase/10644

King-Yeung Lam, Shuang Liu, Y. Lou

引用次数: 15

A mathematical model for the role of macrophages in the persistence and elimination of oncolytic viruses 巨噬细胞在溶瘤病毒的持续和消除中的作用的数学模型

Mathematics in applied sciences and engineering Pub Date : 2020-04-08 DOI: 10.5206/mase/8543

Nada Almuallem, R. Eftimie

{"title":"A mathematical model for the role of macrophages in the persistence and elimination of oncolytic viruses","authors":"Nada Almuallem, R. Eftimie","doi":"10.5206/mase/8543","DOIUrl":"https://doi.org/10.5206/mase/8543","url":null,"abstract":"Replicating oncolytic viruses provide promising treatment strategies against cancer. However, the success of these viral therapies depends mainly on the complex interactions between the virus particles and the host immune cells. Among these immune cells, macrophages represent one of the first line of defence against viral infections. In this paper, we consider a mathematical model that describes the interactions between a commonly-used oncolytic virus, the Vesicular Stomatitis Virus (VSV), and two extreme types of macrophages: the pro-inflammatory M1 cells (which seem to resist infection with VSV) and the anti-inflammatory M2 cells (which can be infected with VSV). We first show the existence of bounded solutions for this differential equations model. Then we investigate the long-term behaviour of the model by focusing on steady states and limit cycles, and study changes in this long-term dynamics as we vary different model parameters. Moreover, through sensitivity analysis we show that the parameters that have the highest impact on the level of virus particles in the system are the viral burst size (from infected macrophages), the virus infection rate, the M1$to$M2 polarisation rate, and the M1-induced anti-viral immunity. ","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42219865","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: 3

Modeling the impact of host resistance on structured tick population dynamics 模拟宿主抗性对结构蜱虫种群动态的影响

Mathematics in applied sciences and engineering Pub Date : 2020-03-31 DOI: 10.5206/mase/10508

Mahnaz Alavinejad, J. Sadiku, Jianhong Wu

引用次数: 0

Applying the chemical-reaction definition of mass action to infectious disease modelling 群体作用的化学反应定义在传染病建模中的应用

Mathematics in applied sciences and engineering Pub Date : 2020-03-23 DOI: 10.5206/mase/9372

M. Al-arydah, S. Greenhalgh, J. Munganga, Robert J. Smith

引用次数: 1