Biomath最新文献_第4页

Qualitative features of a NPZ-Model. NPZ模型的定性特征。

Biomath Pub Date : 2021-03-14 DOI: 10.11145/J.BIOMATH.2020.01.067

Yaya Youssouf Yaya, D. Ngom, Mamadou Sy

引用次数: 0

Accounting for multi-delay effects in an HIV-1 infection model with saturated infection rate, recovery and proliferation of host cells 考虑HIV-1感染模型的多重延迟效应与饱和感染率，宿主细胞的恢复和增殖

Biomath Pub Date : 2020-12-31 DOI: 10.11145/j.biomath.2020.12.297

D. Adak, N. Bairagi, R. Hakl

{"title":"Accounting for multi-delay effects in an HIV-1 infection model with saturated infection rate, recovery and proliferation of host cells","authors":"D. Adak, N. Bairagi, R. Hakl","doi":"10.11145/j.biomath.2020.12.297","DOIUrl":"https://doi.org/10.11145/j.biomath.2020.12.297","url":null,"abstract":"Biological models inherently contain delay. Mathematical analysis of a delay-induced model is, however, more difficult compare to its non-delayed counterpart. Difficulties multiply if the model contains multiple delays. In this paper, we analyze a realistic HIV-1 infection model in the presence and absence of multiple delays. We consider self-proliferation of CD4+T cells, nonlinear saturated infection rate and recovery of infected cells due to incomplete reverse transcription in a basic HIV-1 in-host model and incorporate multiple delays to account for successful viral entry and subsequent virus reproduction from the infected cell. Both of delayed and non-delayed system becomes disease-free if the basic reproduction number is less than unity. In the absence of delays, the infected equilibrium is shown to be locally asymptotically stable under some parametric space and unstable otherwise. The system may show unstable oscillatory behaviour in the presence of either delay even when the non-delayed system is stable. The second delay further enhances the instability of the endemic equilibrium which is otherwise stable in the presence of a single delay. Numerical results are shown to be in agreement with the analytical results and reflect quite realistic dynamics observed in HIV-1 infected individuals.","PeriodicalId":52247,"journal":{"name":"Biomath","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41469056","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

Modelling the impacts of lockdown and isolation on the eradication of COVID-19 模拟封锁和隔离对根除新冠肺炎的影响

Biomath Pub Date : 2020-10-26 DOI: 10.11145/j.biomath.2020.09.107

J. Ndam

引用次数: 5

The impact of infected T lymphocyte burst rate and viral shedding rate on optimal treatment scheduling in a human immunodeficiency virus infection 感染T淋巴细胞破裂率和病毒脱落率对人类免疫缺陷病毒感染最佳治疗计划的影响

Biomath Pub Date : 2020-09-12 DOI: 10.11145/J.BIOMATH.2020.08.173

Anuraag Bukkuri

引用次数: 0

Robust numerical method for a singularly perturbed problem arising in the modelling of enzyme kinetics 酶动力学模型中奇异摄动问题的鲁棒数值方法

Biomath Pub Date : 2020-09-12 DOI: 10.11145/J.BIOMATH.2020.08.227

John J. H. Miller, E. O'Riordan

引用次数: 2

Analysis of a virus-resistant HIV-1 model with behavior change in non-progressors 具有非进展者行为改变的病毒抗性HIV-1模型分析

Biomath Pub Date : 2020-08-08 DOI: 10.11145/j.biomath.2020.06.143

Musa Rabiu, R. Willie, N. Parumasur

引用次数: 6

COVID-19 propagation mathematical modeling: the case of Senegal COVID-19传播数学建模:以塞内加尔为例

Biomath Pub Date : 2020-06-18 DOI: 10.20944/preprints202006.0224.v1

Mouhamadou Diaby, Oumar Diop, A. Konté, A. Sène

{"title":"COVID-19 propagation mathematical modeling: the case of Senegal","authors":"Mouhamadou Diaby, Oumar Diop, A. Konté, A. Sène","doi":"10.20944/preprints202006.0224.v1","DOIUrl":"https://doi.org/10.20944/preprints202006.0224.v1","url":null,"abstract":"The outburst of the COVID-19 pandemic has raised several questions leading to a complex system in terms of modeling. Indeed, the modeling of the epidemic, at the level of a country, needs considering each of the different sources of contamination as well as the public health authorities strategy, in a specific way. With this in mind, in the present paper, we develop a mathematical model of the COVID-19 epidemic in Senegal. In the model, the population is subdivided into five compartments: susceptible, infected but asymptomatic, symptomatic, quarantined, and recovered immune people. In addition, due to its important impact on the propagation of the disease, we add one more variable: the number of infected objects. Therefore, the model corresponds to a system of six non-linear ordinary differential equations we submit to an analytical study to prove the relevancy of the model, simulate the evolution of the epidemic, and retrieve epidemiological parameters, namely the infection rate and the basic reproduction number. Based on the senegalese territory COVID-19 data, we simulate various scenarios as for the evolution of the epidemic in the country, in order to predict the peak and its magnitude with regard to the application of barrier measures. We also explore the option of collective immunity with special protection for vulnerable people. In doing so, non-available parameters are identified using some mathematical identification technics.","PeriodicalId":52247,"journal":{"name":"Biomath","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43522519","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

A new class of activation functions. Some related problems and applications 一类新的激活函数。相关问题及应用

Biomath Pub Date : 2020-05-17 DOI: 10.11145/j.biomath.2020.05.033

N. Kyurkchiev

引用次数: 5

The big unknown: The asymptomatic spread of COVID-19 最大的未知:COVID-19的无症状传播

Biomath Pub Date : 2020-05-11 DOI: 10.11145/j.biomath.2020.05.103

R. Anguelov, J. Banasiak, C. Bright, J. Lubuma, R. Ouifki

引用次数: 22

COVID-19 Research Communications (Editorial) COVID-19研究通讯(社论)

Biomath Pub Date : 2020-05-04 DOI: 10.11145/j.biomath.2020.05.047

H. Kojouharov

{"title":"COVID-19 Research Communications (Editorial)","authors":"H. Kojouharov","doi":"10.11145/j.biomath.2020.05.047","DOIUrl":"https://doi.org/10.11145/j.biomath.2020.05.047","url":null,"abstract":"The goal of the series is to provide a platform for rapid communication and exchange of ideas concerning the COVID-19 epidemic. It is new and unlike the known virus-induced diseases. There is a significant research effort, including mathematical modelling, to understand the characteristics of the virus SARS-CoV-2 (severe acute respiratory syndrome coronavirus 2) and the epidemiological dynamics of COVID-19, the disease caused by it. Due to their novelty, the research is often likely to produce results only on specific aspects of the disease, provide just partial answers to research questions, or collect evidence for formulating hypothesis yet to be tested. We believe, however, that the significance of the pandemic for the human population makes it essential to share even such partial results as soon as they are available to facilitate the advancement of the research on this disease. While eventually, a more comprehensive picture of both the virus and the disease will emerge, even incomplete but timely and scientifically-based information will help the authorities to make sound decisions on the course of action during the epidemic. For the series, we invite publications on any aspect of the COVID-19 epidemic. Specifically, the series aims to cover • the biological research, providing an understanding of the relevant structures and causal relationships in the epidemiological environment, which can facilitate mathematical or statistical modelling, • mathematical models of the structures, causal interactions and epidemiological data, and their analysis, • mathematical models and analysis of the socio-economic aspects of the pandemic, • any new mathematical methods, applicable to the study of any of the mentioned topics. All submissions to the series will be prioritised for a fast peer-review.","PeriodicalId":52247,"journal":{"name":"Biomath","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49135068","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