Journal of Biological Dynamics最新文献_第8页

Global stability of a delayed and diffusive virus model with nonlinear infection function. 一类具有非线性感染函数的延迟扩散病毒模型的全局稳定性。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2021-12-01 DOI: 10.1080/17513758.2021.1922770

Yan Geng, Jinhu Xu

引用次数: 1

A stochastic predator-prey model with Holling II increasing function in the predator. 捕食者中具有Holling II递增函数的随机捕食者-猎物模型。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2021-12-01 DOI: 10.1080/17513758.2020.1859146

Youlin Huang, Wanying Shi, Chunjin Wei, Shuwen Zhang

引用次数: 15

Stability and bifurcation analysis of an HIV-1 infection model with a general incidence and CTL immune response. 具有一般发病率和CTL免疫应答的HIV-1感染模型的稳定性和分岔分析。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2021-12-01 DOI: 10.1080/17513758.2021.1950224

Xinsheng Ma, Yuhuai Zhang, Yuming Chen

{"title":"Stability and bifurcation analysis of an HIV-1 infection model with a general incidence and CTL immune response.","authors":"Xinsheng Ma, Yuhuai Zhang, Yuming Chen","doi":"10.1080/17513758.2021.1950224","DOIUrl":"https://doi.org/10.1080/17513758.2021.1950224","url":null,"abstract":"In this paper, with eclipse stage in consideration, we propose an HIV-1 infection model with a general incidence rate and CTL immune response. We first study the existence and local stability of equilibria, which is characterized by the basic infection reproduction number <math><msub><mrow><mi>R</mi></mrow><mn>0</mn></msub></math> and the basic immunity reproduction number <math><msub><mrow><mi>R</mi></mrow><mn>1</mn></msub></math>. The local stability analysis indicates the occurrence of transcritical bifurcations of equilibria. We confirm the bifurcations at the disease-free equilibrium and the infected immune-free equilibrium with transmission rate and the decay rate of CTLs as bifurcation parameters, respectively. Then we apply the approach of Lyapunov functions to establish the global stability of the equilibria, which is determined by the two basic reproduction numbers. These theoretical results are supported with numerical simulations. Moreover, we also identify the high sensitivity parameters by carrying out the sensitivity analysis of the two basic reproduction numbers to the model parameters.","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17513758.2021.1950224","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39176336","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 3

Determining reliable parameter estimates for within-host and within-vector models of Zika virus. 确定寨卡病毒宿主内和媒介内模型的可靠参数估计。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2021-12-01 DOI: 10.1080/17513758.2021.1970261

Necibe Tuncer, Maia Martcheva

{"title":"Determining reliable parameter estimates for within-host and within-vector models of Zika virus.","authors":"Necibe Tuncer, Maia Martcheva","doi":"10.1080/17513758.2021.1970261","DOIUrl":"https://doi.org/10.1080/17513758.2021.1970261","url":null,"abstract":"In this paper, we introduce three within-host and one within-vector models of Zika virus. The within-host models are the target cell limited model, the target cell limited model with natural killer (NK) cells class, and a within-host-within-fetus model of a pregnant individual. The within-vector model includes the Zika virus dynamics in the midgut and salivary glands. The within-host models are not structurally identifiable with respect to data on viral load and NK cell counts. After rescaling, the scaled within-host models are locally structurally identifiable. The within-vector model is structurally identifiable with respect to viremia data in the midgut and salivary glands. Using Monte Carlo Simulations, we find that target cell limited model is practically identifiable from data on viremia; the target cell limited model with NK cell class is practically identifiable, except for the rescaled half saturation constant. The within-host-within-fetus model has all fetus-related parameters not practically identifiable without data on the fetus, as well as the rescaled half saturation constant is also not practically identifiable. The remaining parameters are practically identifiable. Finally we find that none of the parameters of the within-vector model is practically identifiable.","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39372027","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 7

Modelling homosexual and heterosexual transmissions of hepatitis B virus in China. 乙型肝炎病毒在中国同性恋和异性恋传播的模型。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2021-12-01 DOI: 10.1080/17513758.2021.1896797

Min Lu, Yaqin Shu, Jicai Huang, Shigui Ruan, Xinan Zhang, Lan Zou

{"title":"Modelling homosexual and heterosexual transmissions of hepatitis B virus in China.","authors":"Min Lu, Yaqin Shu, Jicai Huang, Shigui Ruan, Xinan Zhang, Lan Zou","doi":"10.1080/17513758.2021.1896797","DOIUrl":"https://doi.org/10.1080/17513758.2021.1896797","url":null,"abstract":"Studies have shown that sexual transmission, both heterosexually and homosexually, is one of the main ways of HBV infection. Based on this fact, we propose a mathematical model to study the sexual transmission of HBV among adults by classifying adults into men and women and considering both same-sex and opposite-sex transmissions of HBV in adults. Firstly, we calculate the basic reproduction number <math><msub><mi>R</mi><mrow><mn>0</mn></mrow></msub></math> and the disease-free equilibrium point <math><msub><mi>E</mi><mrow><mn>0</mn></mrow></msub></math>. Secondly, by analysing the sensitivity of <math><msub><mi>R</mi><mrow><mn>0</mn></mrow></msub></math> in terms of model parameters, we find that the infection rate among people who have same-sex partners, the frequency of homosexual contact and the immunity rate of adults play important roles in the transmission of HBV. Moreover, we use our model to fit the reported data in China and forecast the trend of hepatitis B. Our results demonstrate that popularizing the basic knowledge of HBV among residents, advocating healthy and reasonable sexual life style, reducing the number of adult carriers, and increasing the immunization rate of adults are effective measures to prevent and control hepatitis B.","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17513758.2021.1896797","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"25461954","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A continuous-time mathematical model and discrete approximations for the aggregation of β-Amyloid. β-淀粉样蛋白聚集的连续时间数学模型和离散近似。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2021-12-01 DOI: 10.1080/17513758.2020.1869843

Azmy S Ackleh, Saber Elaydi, George Livadiotis, Amy Veprauskas

{"title":"A continuous-time mathematical model and discrete approximations for the aggregation of β-Amyloid.","authors":"Azmy S Ackleh, Saber Elaydi, George Livadiotis, Amy Veprauskas","doi":"10.1080/17513758.2020.1869843","DOIUrl":"https://doi.org/10.1080/17513758.2020.1869843","url":null,"abstract":"Alzheimer's disease is a degenerative disorder characterized by the loss of synapses and neurons from the brain, as well as the accumulation of amyloid-based neuritic plaques. While it remains a matter of contention whether β-amyloid causes the neurodegeneration, β-amyloid aggregation is associated with the disease progression. Therefore, gaining a clearer understanding of this aggregation may help to better understand the disease. We develop a continuous-time model for β-amyloid aggregation using concepts from chemical kinetics and population dynamics. We show the model conserves mass and establish conditions for the existence and stability of equilibria. We also develop two discrete-time approximations to the model that are dynamically consistent. We show numerically that the continuous-time model produces sigmoidal growth, while the discrete-time approximations may exhibit oscillatory dynamics. Finally, sensitivity analysis reveals that aggregate concentration is most sensitive to parameters involved in monomer production and nucleation, suggesting the need for good estimates of such parameters.","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17513758.2020.1869843","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38805208","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 4

Delay in budget allocation for vaccination and awareness induces chaos in an infectious disease model. 疫苗接种和意识预算分配的延迟导致传染病模型的混乱。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2021-12-01 DOI: 10.1080/17513758.2021.1952322

Arvind Kumar Misra, Rajanish Kumar Rai, Pankaj Kumar Tiwari, Maia Martcheva

引用次数: 6

Effects of social-distancing on infectious disease dynamics: an evolutionary game theory and economic perspective. 社会距离对传染病动态的影响:进化博弈论和经济学观点。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2021-12-01 DOI: 10.1080/17513758.2021.1946177

Maia Martcheva, Necibe Tuncer, Calistus N Ngonghala

引用次数: 11

On the reproduction number in epidemics. 关于流行病中的繁殖数。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2021-12-01 DOI: 10.1080/17513758.2021.2001584

Milan Batista

引用次数: 3

A delay non-autonomous model for the combined effects of fear, prey refuge and additional food for predator. 恐惧、猎物庇护和捕食者额外食物联合效应的延迟非自主模型。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2021-12-01 DOI: 10.1080/17513758.2021.2001583

Nazmul Sk, Pankaj Kumar Tiwari, Samares Pal, Maia Martcheva

引用次数: 5