Mathematics in applied sciences and engineering最新文献_第6页

Dynamics of a plant-herbivore model with a chemically-mediated numerical response 植物-草食动物模型的动力学与化学介导的数值响应

Mathematics in applied sciences and engineering Pub Date : 2021-01-01 DOI: 10.5206/mase/11067

Lin Wang, James Watmough, Fang Yu

引用次数: 0

Determining the effectiveness of practicing non-pharmaceutical interventions in improving virus control in a pandemic using agent-based modelling 使用基于代理的模型确定在大流行中实施非药物干预措施以改善病毒控制的有效性

Mathematics in applied sciences and engineering Pub Date : 2020-12-30 DOI: 10.5206/mase/10876

C. A. Buhat, S. Villanueva

引用次数: 4

A procedure for deriving new ODE models: Using the generalized linear chain trick to incorporate phase-type distributed delay and dwell time assumptions 一种新的ODE模型的推导方法:利用广义线性链技巧结合相型分布延迟和停留时间假设

Mathematics in applied sciences and engineering Pub Date : 2020-12-29 DOI: 10.5206/mase/10857

P. Hurtado, Cameron Richards

引用次数: 7

Preface: Thematic Issue in Mathematical Biology and Applied Evolutionary Equations 前言:数学生物学和应用进化方程的专题问题

Mathematics in applied sciences and engineering Pub Date : 2020-12-28 DOI: 10.5206/mase/13502

N. Vaidya, Dhruba R. Adhikari

引用次数: 0

High order mimetic difference simulation of unsaturated flow using Richards equation 利用Richards方程进行非饱和流动的高阶模拟差分模拟

Mathematics in applied sciences and engineering Pub Date : 2020-12-28 DOI: 10.5206/mase/10874

Angel Boada Velazco, Johnny Corbino, J. Castillo

{"title":"High order mimetic difference simulation of unsaturated flow using Richards equation","authors":"Angel Boada Velazco, Johnny Corbino, J. Castillo","doi":"10.5206/mase/10874","DOIUrl":"https://doi.org/10.5206/mase/10874","url":null,"abstract":"The vadose zone is the portion of the subsurface above the water table and its pore space usually contains air and water. Due to the presence of infiltration, erosion, plant growth, microbiota, contaminant transport, aquifer recharge, and discharge to surface water, it is crucial to predict the transport rate of water and other substances within this zone. However, flow in the vadose zone has many complications as the parameters that control it are extremely sensitive to the saturation of the media, leading to a nonlinear problem. This flow is referred as unsaturated flow and is governed by Richards equation. Analytical solutions for this equation exists only for simplified cases, so most practical situations require a numerical solution. Nevertheless, the nonlinear nature of Richards equation introduces challenges that causes numerical solutions for this problem to be computationally expensive and, in some cases, unreliable. High order mimetic finite difference operators are discrete analogs of the continuous differential operators and have been extensively used in the fields of fluid and solid mechanics. In this work, we present a numerical approach involving high order mimetic operators along with a Newton root-finding algorithm for the treatment of the nonlinear component. Fully-implicit time discretization scheme is used to deal with the problem’s stiffness.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70664458","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

An empirical forecasting method for epidemic outbreaks with application to Covid-19 疫情的实证预测方法及其在新冠肺炎中的应用

Mathematics in applied sciences and engineering Pub Date : 2020-12-24 DOI: 10.5206/mase/11101

Bo Deng

引用次数: 1

Transient dynamics of the renal disease epidemic among HIV-infected individuals hiv感染者肾脏疾病流行的瞬态动力学

Mathematics in applied sciences and engineering Pub Date : 2020-12-24 DOI: 10.5206/mase/10852

Dylan Hull-Nye, Bhawna Malik, R. Keshavamurthy, E. J. Schwartz

{"title":"Transient dynamics of the renal disease epidemic among HIV-infected individuals","authors":"Dylan Hull-Nye, Bhawna Malik, R. Keshavamurthy, E. J. Schwartz","doi":"10.5206/mase/10852","DOIUrl":"https://doi.org/10.5206/mase/10852","url":null,"abstract":"The prevalence of end stage renal disease (ESRD) is rising among HIV-infected populations in several regions worldwide. We used an ordinary differential equation model of the dynamics of the AIDS and HIV+ ESRD populations to investigate the effect of antiretroviral therapy (ART) on the transient dynamics of the epidemic. We considered ART that blocks the entry to each population, by preventing individuals from joining the AIDS population and by reducing the development from AIDS to HIV+ ESRD, as well as the combined effects together. Numerical simulation of our model revealed that when levels of ART are below 100%, the prevalence of HIV+ ESRD drops, but then increases again due to the recovery in the AIDS population. The effect can be seen with ART acting to block entry into either population. We then examined the dip in HIV+ ESRD seen with ART analytically by calculating the minimum HIV+ ESRD level and the time to achieve this minimum. We also evaluated the length of time to reach the minimum and its dependence on ART parameters, both singly and in combination. We conclude that our model predicts that the drop in HIV+ ESRD prevalence seen after increased ART will be followed by an increase, unless ART is sufficiently high enough to eradicate HIV/AIDS.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41507192","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

A Predator-Prey model in the chemostat with Holling Type II response function 具有Holling II型响应函数的趋化器中捕食者-猎物模型

Mathematics in applied sciences and engineering Pub Date : 2020-12-22 DOI: 10.5206/mase/10842

T. Bolger, Brydon Eastman, Madeleine Hill, G. Wolkowicz

引用次数: 2

On the focusing generalized Hartree equation 关于聚焦广义Hartree方程

Mathematics in applied sciences and engineering Pub Date : 2020-12-16 DOI: 10.5206/mase/10855

A. Arora, S. Roudenko, Kai Yang

引用次数: 1

Controlling rabies epidemics in Nepal with limited resources: optimal control theory approach 用有限资源控制尼泊尔狂犬病疫情：最优控制理论方法

Mathematics in applied sciences and engineering Pub Date : 2020-12-10 DOI: 10.5206/mase/10847

Buddhi Pantha, H. Joshi, N. Vaidya

{"title":"Controlling rabies epidemics in Nepal with limited resources: optimal control theory approach","authors":"Buddhi Pantha, H. Joshi, N. Vaidya","doi":"10.5206/mase/10847","DOIUrl":"https://doi.org/10.5206/mase/10847","url":null,"abstract":"In many developing countries, including Nepal, rabies epidemics constitute a serious public health concern, partly because of limited resources for proper implementation of control measures. In this study, we develop an extended model by incorporating various controls into the transmission dynamics model with both dog and jackal vectors. We apply the optimal control theory on the developed model system to identify optimal control strategy for mitigating rabies burden in Nepal with limited resources. Among the potential control strategies, human vaccination, dog vaccination, dog culling, dog sterilization, and jackal vaccination, considered in this study, our results show that a combination of dog vaccination and dog culling is the most effective strategy to control rabies in Nepal. Our optimal control solutions provide the strategy for optimal implementation of these controls to suppress rabies prevalence among dogs and jackals of Nepal using a minimum cost associated with controls. We found that given limited resources, implementing controls in a time-dependent manner with a higher level at the beginning of the outbreaks and reducing them during later part of the epidemics can provide maximum benefits.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45918845","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