Letters in Biomathematics最新文献_第4页

Derivative-order-dependent stability and transient behaviour in a predator–prey system of fractional differential equations 分数阶微分方程捕食者-被捕食系统的导数阶相关稳定性和瞬态行为

Letters in Biomathematics Pub Date : 2019-01-01 DOI: 10.1080/23737867.2019.1656115

Z. Alqahtani, M. El-shahed, N. Mottram

引用次数: 2

Modeling the average population of La Crosse vectors in Knox County, Tennessee 对田纳西州诺克斯县拉克罗斯病媒的平均人口进行建模

Letters in Biomathematics Pub Date : 2019-01-01 DOI: 10.1080/23737867.2019.1655497

Maitraya Ghatak, J. Urcuyo, P. Wise, R. T. Trout Fryxell, S. Lenhart

引用次数: 2

Using mathematical modelling to investigate the effect of the sexual behaviour of asymptomatic individuals and vector control measures on Zika 利用数学模型调查无症状个体的性行为和媒介控制措施对寨卡病毒的影响

Letters in Biomathematics Pub Date : 2019-01-01 DOI: 10.1080/23737867.2019.1624631

Selenne Bañuelos, Marco V. Martinez, C. Mitchell, Alicia Prieto-Langarica

{"title":"Using mathematical modelling to investigate the effect of the sexual behaviour of asymptomatic individuals and vector control measures on Zika","authors":"Selenne Bañuelos, Marco V. Martinez, C. Mitchell, Alicia Prieto-Langarica","doi":"10.1080/23737867.2019.1624631","DOIUrl":"https://doi.org/10.1080/23737867.2019.1624631","url":null,"abstract":"Zika is a vector borne disease for which the latest world wide outbreak inspired a renewed interest in epidemiological modelling of vector borne diseases. However, due to the possibility of sexual transmission and the high proportion of asymptomatic individuals, models for similar diseases, such as dengue or chikungunya, are no longer applicable. It is of interest to study how the existence and behaviour of asymptomatic individuals and the potential of them transmitting the disease affect the overall epidemic dynamics. The model presented here aims to be as simple as possible, while at the same time taking into account the features that make Zika unique among other vector borne diseases. This model allows for the exploration of sexual transmission and how the sexual behaviour of asymptomatic individuals may affect the spread of the disease. In addition, the model was used to determine the basic reproductive number, with and without the effect of sexual transmission as well as to implement a simple version of control using Wolbachia bacterium.","PeriodicalId":37222,"journal":{"name":"Letters in Biomathematics","volume":"6 1","pages":"1 - 19"},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/23737867.2019.1624631","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45986559","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: 9

Dynamics of two pathogens in a single tick population. 两种病原体在单一蜱虫种群中的动态。

Letters in Biomathematics Pub Date : 2019-01-01 DOI: 10.1080/23737867.2019.1682473

Alexis White, Elsa Schaefer, Chelsea Wright Thompson, Christopher M Kribs, Holly Gaff

{"title":"Dynamics of two pathogens in a single tick population.","authors":"Alexis White, Elsa Schaefer, Chelsea Wright Thompson, Christopher M Kribs, Holly Gaff","doi":"10.1080/23737867.2019.1682473","DOIUrl":"https://doi.org/10.1080/23737867.2019.1682473","url":null,"abstract":"A mathematical model for a two-pathogen, one-tick, one-host system is presented and explored. The model system is based on the dynamics of Amblyomma americanum, Rickettsia parkeri, and Rickettsia amblyommatis. The goal of this model is to determine how long an invading pathogen, R. parkeri, persists within a tick population, A. americanum, in which a resident pathogen, R. amblyommatis, is already established. The numerical simulations of the model demonstrate the parameter ranges that allow for coexistence of the two pathogens. Sensitivity analysis highlights the importance of vector-borne, tick-to-host, transmission rates on the invasion reproductive number and persistence of the pathogens over time. The model is then applied to a case study based on a reclaimed swampland field site in south-eastern Virginia using field and laboratory data. The results pinpoint the thresholds required for persistence of both pathogens in the local tick population. However, R. parkeri, is not predicted to persist beyond 3 years. Understanding the persistence and coexistence of tick-borne pathogens will allow public health officials increased insight into tick-borne disease dynamics.","PeriodicalId":37222,"journal":{"name":"Letters in Biomathematics","volume":"6 1","pages":"50-66"},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/23737867.2019.1682473","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38457216","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: 3

Erratum 勘误

Letters in Biomathematics Pub Date : 2018-12-14 DOI: 10.1080/23737867.2018.1446580

引用次数: 0

Call for Papers 征稿

Letters in Biomathematics Pub Date : 2018-12-14 DOI: 10.1080/23737867.2018.1525666

引用次数: 0

Modelling the effects of habitat and hosts on tick invasions 栖息地和宿主对蜱虫入侵影响的建模

Letters in Biomathematics Pub Date : 2018-12-14 DOI: 10.1080/23737867.2017.1412811

Robyn M. Nadolny, H. Gaff

{"title":"Modelling the effects of habitat and hosts on tick invasions","authors":"Robyn M. Nadolny, H. Gaff","doi":"10.1080/23737867.2017.1412811","DOIUrl":"https://doi.org/10.1080/23737867.2017.1412811","url":null,"abstract":"Abstract Many tick species are invading new areas because of anthropogenic changes in the landscape, shifting climatic variables and increasing populations of suitable host species and tick habitat. However, the relative influences of habitat and hosts in tick dispersal and tick population establishment remain in question. A spatially explicit agent-based model was developed to explore the spatio-temporal dynamics of a generic tick population in the years immediately following the introduction of ticks into a novel environment. The general model was then adapted to investigate a case study of two recent tick species invasions into the Mid-Atlantic United States. The recent simultaneous range expansions of two ixodid tick species, Ixodes affinis and Amblyomma maculatum, provided an opportunity to determine if invasion patterns observed in the field could be replicated in silico on a small scale. The models presented here indicated that for generalist parasites, habitat connectivity is a better indicator than host mobility for spatial and genetic patterns of parasite range expansion. In addition, our results demonstrate the utility of including genetic variables into agent-based models: gene flow functions as a proxy for measuring dispersal, and models can be validated using results from the field.","PeriodicalId":37222,"journal":{"name":"Letters in Biomathematics","volume":"5 1","pages":"2 - 29"},"PeriodicalIF":0.0,"publicationDate":"2018-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/23737867.2017.1412811","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49272824","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: 8

Editorial 社论

Letters in Biomathematics Pub Date : 2018-12-14 DOI: 10.1080/23737867.2018.1417808

Olcay Akman

引用次数: 0

Equilibrium analysis for an epidemic model with a reservoir for infection 具有感染库的流行病模型的平衡分析

Letters in Biomathematics Pub Date : 2018-12-02 DOI: 10.1080/23737867.2018.1551075

I. Laukó, G. Pinter, Rachel Elizabeth TeWinkel

引用次数: 4

Mathematical model for the in-host malaria dynamics subject to malaria vaccines 疟疾疫苗作用下宿主内疟疾动态的数学模型

Letters in Biomathematics Pub Date : 2018-09-29 DOI: 10.1080/23737867.2018.1526132

T. O. Orwa, Rachel Waema Mbogo, L. Luboobi

{"title":"Mathematical model for the in-host malaria dynamics subject to malaria vaccines","authors":"T. O. Orwa, Rachel Waema Mbogo, L. Luboobi","doi":"10.1080/23737867.2018.1526132","DOIUrl":"https://doi.org/10.1080/23737867.2018.1526132","url":null,"abstract":"ABSTRACT Despite the success of the existing malaria control strategies, reported malaria cases are still quite high. In 2016, the WHO reported about 216 million malaria cases; 90% of which occurred in the WHO African Region. In this paper, a mathematical model for the in-host Plasmodium falciparum malaria subject to malaria vaccines is formulated and analysed. An efficacious pre-erythrocytic vaccine is shown to greatly reduce the severity of clinical malaria. Based on the normalized forward sensitivity index technique, the average number of merozoites released per bursting blood schizont is shown to be the most sensitive parameter in the model. Numerical simulation results further suggest that an efficacious blood stage vaccine has the potential to reduce the burst size of the blood schizonts and maximize the rate of activation of CD8+ T cells during malaria infection. Moreover, vaccine combinations that are efficacious might help in achieving a malaria free population by the year 2030. This paper provides useful insights in malaria vaccine control and a unique opportunity to intensify support and funding for malaria vaccine development.","PeriodicalId":37222,"journal":{"name":"Letters in Biomathematics","volume":"5 1","pages":"222 - 251"},"PeriodicalIF":0.0,"publicationDate":"2018-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/23737867.2018.1526132","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48485186","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: 13