Letters in Biomathematics最新文献_第9页

Examination of models for cholera: insights into model comparison methods 霍乱模型的检验:对模型比较方法的见解

Letters in Biomathematics Pub Date : 2016-01-01 DOI: 10.1080/23737867.2016.1211495

Olcay Akman, Marina Romadan Corby, Elsa Schaefer

引用次数: 13

The spruce budworm and forest: a qualitative comparison of ODE and Boolean models 云杉芽虫与森林:ODE模型与布尔模型的定性比较

Letters in Biomathematics Pub Date : 2016-01-01 DOI: 10.1080/23737867.2016.1197804

R. Robeva, D. Murrugarra

{"title":"The spruce budworm and forest: a qualitative comparison of ODE and Boolean models","authors":"R. Robeva, D. Murrugarra","doi":"10.1080/23737867.2016.1197804","DOIUrl":"https://doi.org/10.1080/23737867.2016.1197804","url":null,"abstract":"Boolean and polynomial models of biological systems have emerged recently as viable companions to differential equations models. It is not immediately clear however whether such models are capable of capturing the multi-stable behaviour of certain biological systems: this behaviour is often sensitive to changes in the values of the model parameters, while Boolean and polynomial models are qualitative in nature. In the past few years, Boolean models of gene regulatory systems have been shown to capture multi-stability at the molecular level, confirming that such models can be used to obtain information about the system’s qualitative dynamics when precise information regarding its parameters may not be available. In this paper, we examine Boolean approximations of a classical ODE model of budworm outbreaks in a forest and show that these models exhibit a qualitative behaviour consistent with that derived from the ODE models. In particular, we demonstrate that these models can capture the bistable nature of insect population outbreaks, thus showing that Boolean models can be successfully utilized beyond the molecular level.","PeriodicalId":37222,"journal":{"name":"Letters in Biomathematics","volume":"3 1","pages":"75 - 92"},"PeriodicalIF":0.0,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/23737867.2016.1197804","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"60102303","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: 15

Canine distemper outbreak modeled in an animal shelter 在动物收容所模拟犬瘟热爆发

Letters in Biomathematics Pub Date : 2016-01-01 DOI: 10.1080/23737867.2016.1148644

Ashley Dantzler, M. Hujoel, V. Parkman, A. Wild, S. Lenhart, Benjamin Levy, R. Wilkes

引用次数: 3

On the dynamics of dengue virus type 2 with residence times and vertical transmission 登革2型病毒停留时间和垂直传播动态研究

Letters in Biomathematics Pub Date : 2016-01-01 DOI: 10.1080/23737867.2016.1212678

Derdei Bichara, S. Holechek, J. Velázquez-Castro, Anarina L. Murillo, C. Castillo-Chavez

引用次数: 11

Bottom-up ecology: an agent-based model on the interactions between competition and predation 自下而上生态学:竞争与捕食相互作用的基于主体的模型

Letters in Biomathematics Pub Date : 2016-01-01 DOI: 10.1080/23737867.2016.1217756

I. Karsai, Emil Montano, T. Schmickl

引用次数: 12

Quantifying distribution in carbon uptake and environmental measurements with the Gini coefficient 用基尼系数量化碳吸收和环境测量的分布

Letters in Biomathematics Pub Date : 2016-01-01 DOI: 10.1080/23737867.2016.1144489

M. Safi, J. Zobitz

{"title":"Quantifying distribution in carbon uptake and environmental measurements with the Gini coefficient","authors":"M. Safi, J. Zobitz","doi":"10.1080/23737867.2016.1144489","DOIUrl":"https://doi.org/10.1080/23737867.2016.1144489","url":null,"abstract":"The Gini coefficient is a measure used in economics to evaluate the equitability of the distribution of a resource across a population. This project applied the Gini coefficient as a classification method for a decade-long data set consisting of environmental observations and carbon flux data for a coniferous forest in Finland. Our results show consistency in the Gini coefficient for environmental variables, even with interannual variation in the measurements during the carbon uptake period or when the ecosystem is absorbing carbon from the atmosphere. The Gini coefficient calculations showed this ecosystem has an inequitable distribution of carbon uptake and release within the carbon uptake period, which is comparable to the inequitable distribution of temperature and precipitation during the same time period. We also calculated the percentage of the carbon uptake period that has passed for different cumulative proportions of a measurement. Future applications of the Gini coefficient to other ecosystems will enhance knowledge of the distribution of environmental and flux measurements across the carbon uptake period.","PeriodicalId":37222,"journal":{"name":"Letters in Biomathematics","volume":"3 1","pages":"1 - 12"},"PeriodicalIF":0.0,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/23737867.2016.1144489","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"60102143","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: 2

Modelling and simulation: helping students acquire this skill using a Stock and Flow approach with MathBench 建模和仿真:帮助学生使用MathBench的库存和流量方法获得这一技能

Letters in Biomathematics Pub Date : 2015-01-01 DOI: 10.1080/23737867.2015.1035348

I. Karsai, Katerina V. Thompson, Kären C. Nelson

引用次数: 6

Modelling the evolution and expected lifetime of a deme’s principal gene sequence 模拟deme主要基因序列的进化和预期寿命

Letters in Biomathematics Pub Date : 2015-01-01 DOI: 10.1080/23737867.2015.1040859

B. Clark

引用次数: 1

The Evolution of Cooperation is Affected by the Persistence of Fitness Effects, the Neighborhood Size and their Interaction. 合作的进化受持续的健康效应、邻里规模及其相互作用的影响

Letters in Biomathematics Pub Date : 2015-01-01 Epub Date: 2015-10-22 DOI: 10.1080/23737867.2015.1090890

Eli Thompson, Jasmine Everett, Jonathan T Rowell, Jan Rychtář, Olav Rueppell

{"title":"The Evolution of Cooperation is Affected by the Persistence of Fitness Effects, the Neighborhood Size and their Interaction.","authors":"Eli Thompson, Jasmine Everett, Jonathan T Rowell, Jan Rychtář, Olav Rueppell","doi":"10.1080/23737867.2015.1090890","DOIUrl":"10.1080/23737867.2015.1090890","url":null,"abstract":"<p><p>Evolutionary Game Theory and the Prisoner's Dilemma (PD) Game in particular have been used to study the evolution of cooperation. We consider a population of asexually reproducing, age-structured individuals in a two-dimensional square lattice structure. The individuals employ fixed cooperative or defecting strategies towards their neighbors in repeating interactions to accumulate reproductive fitness. We focus on the effects of the persistence of past interactions and interactive neighborhood size on the evolution of cooperation. We show that larger neighborhood sizes are generally detrimental to cooperation and that the persistence of fitness effects decreases the likelihood of the evolution of cooperation in small neighborhoods. However, for larger neighborhood sizes the persistence effect is reversed. Thus, our study corroborates earlier studies that population structure increases the evolutionary potential for cooperative behavior in a PD paradigm. This finding may explain the heterogeneity of previous results on the effect of neighborhood size and cautions that the persistence of fitness outcomes needs to be considered in analyses of the evolution of cooperative behavior. The persistence of fitness outcomes of pairwise interactions may vary dramatically in biological and social systems and could have profound effects on the evolution of cooperation in various contexts.</p>","PeriodicalId":37222,"journal":{"name":"Letters in Biomathematics","volume":"2 1","pages":"67-78"},"PeriodicalIF":0.0,"publicationDate":"2015-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4798257/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"60102069","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Crossing the Threshold: the role of density dependence and demographic stochasticity in the evolution of cooperation 跨越阈值:密度依赖和人口随机性在合作演化中的作用

Letters in Biomathematics Pub Date : 2015-01-01 DOI: 10.1080/23737867.2015.1109481

T. Lofaro

{"title":"Crossing the Threshold: the role of density dependence and demographic stochasticity in the evolution of cooperation","authors":"T. Lofaro","doi":"10.1080/23737867.2015.1109481","DOIUrl":"https://doi.org/10.1080/23737867.2015.1109481","url":null,"abstract":"We make two simplifications to a joint population model developed by M. Doebeli et al. of two populations whose growth rates depend on total population density and pay-offs governed by the Iterated Prisoner’s Dilemma. One population uses the ‘Always Defect’ strategy and the second uses the ‘Tit for Tat’ (TFT) strategy. In the deterministic model, there are two simple basins of attraction that lead to the extinction of one or the other population. In particular, a small TFT population cannot spread from rarity. We compute the boundary between these two regions. If, on the other hand, the growth rate of the TFT population is stochastic, then it is possible for the TFT population to become established if the growth rate at any given time is sufficiently large to allow the TFT population to cross the threshold computed in the deterministic model. We describe the factors that increase the likelihood of TFT establishment and explain why density dependence is an essential feature of the model. In particular, we show that if the relative advantage of defecting is small compared to the benefits of cooperating, then there is an increased likelihood that cooperation will evolve.","PeriodicalId":37222,"journal":{"name":"Letters in Biomathematics","volume":"2 1","pages":"79 - 90"},"PeriodicalIF":0.0,"publicationDate":"2015-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/23737867.2015.1109481","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"60102121","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