Journal of Biological Dynamics最新文献_第10页

Estimating the risk of pandemic avian influenza. 估计禽流感大流行的风险。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2021-12-01 DOI: 10.1080/17513758.2021.1942570

Amita Tripathi, Harish Chandra Dhakal, Khagendra Adhikari, Ramesh Chandra Timsina, Lindi M Wahl

引用次数: 2

Transmission rates and environmental reservoirs for COVID-19 - a modeling study. COVID-19 的传播率和环境库--一项模型研究。

IF 1.8 4区数学

Journal of Biological Dynamics Pub Date : 2021-12-01 DOI: 10.1080/17513758.2020.1869844

Chayu Yang, Jin Wang

引用次数: 0

Building mean field ODE models using the generalized linear chain trick & Markov chain theory. 利用广义线性链技巧和马尔可夫链理论建立平均场ODE模型。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2021-05-01 Epub Date: 2021-04-13 DOI: 10.1080/17513758.2021.1912418

Paul J Hurtado, Cameron Richards

{"title":"Building mean field ODE models using the generalized linear chain trick & Markov chain theory.","authors":"Paul J Hurtado, Cameron Richards","doi":"10.1080/17513758.2021.1912418","DOIUrl":"https://doi.org/10.1080/17513758.2021.1912418","url":null,"abstract":"The well known linear chain trick (LCT) allows modellers to derive mean field ODEs that assume gamma (Erlang) distributed passage times, by transitioning individuals sequentially through a chain of sub-states. The time spent in these sub-states is the sum of k exponentially distributed random variables, and is thus gamma distributed. The generalized linear chain trick (GLCT) extends this technique to the broader phase-type family of distributions, which includes exponential, Erlang, hypoexponential, and Coxian distributions. Phase-type distributions are the family of matrix exponential distributions on <math><mo>[</mo><mn>0</mn><mo>,</mo><mi>∞</mi><mo>)</mo></math> that represent the absorption time distributions for finite-state, continuous time Markov chains (CTMCs). Here we review CTMCs and phase-type distributions, then illustrate how to use the GLCT to efficiently build ODE models from underlying stochastic model assumptions. We introduce two novel model families by using the GLCT to generalize the Rosenzweig-MacArthur predator-prey model, and the SEIR model. We illustrate the kinds of complexity that can be captured by such models through multiple examples. We also show the benefits of using a GLCT-based model formulation to speed up the computation of numerical solutions to such models. These results highlight the intuitive nature, and utility, of using the GLCT to derive ODE models from first principles.","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17513758.2021.1912418","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"25586760","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: 5

Modelling the risk of HIV infection for drug abusers. 对药物滥用者感染艾滋病毒的风险进行建模。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2021-05-01 Epub Date: 2020-11-07 DOI: 10.1080/17513758.2020.1842921

Angelica Bloomquist, Naveen K Vaidya

引用次数: 3

Dynamics of a diffusive vaccination model with therapeutic impact and non-linear incidence in epidemiology. 具有治疗影响和流行病学非线性发生率的扩散疫苗模型的动力学。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2021-05-01 Epub Date: 2020-11-18 DOI: 10.1080/17513758.2020.1849831

Md Kamrujjaman, Md Shahriar Mahmud, Md Shafiqul Islam

{"title":"Dynamics of a diffusive vaccination model with therapeutic impact and non-linear incidence in epidemiology.","authors":"Md Kamrujjaman, Md Shahriar Mahmud, Md Shafiqul Islam","doi":"10.1080/17513758.2020.1849831","DOIUrl":"https://doi.org/10.1080/17513758.2020.1849831","url":null,"abstract":"In this paper, we study a more general diffusive spatially dependent vaccination model for infectious disease. In our diffusive vaccination model, we consider both therapeutic impact and nonlinear incidence rate. Also, in this model, the number of compartments of susceptible, vaccinated and infectious individuals are considered to be functions of both time and location, where the set of locations (equivalently, spatial habitats) is a subset of <math><msup><mrow><mi>R</mi></mrow><mi>n</mi></msup></math> with a smooth boundary. Both local and global stability of the model are studied. Our study shows that if the threshold level <math><msub><mrow><mi>R</mi></mrow><mn>0</mn></msub><mo>≤</mo><mn>1</mn><mo>,</mo></math> the disease-free equilibrium <math><msub><mi>E</mi><mn>0</mn></msub></math> is globally asymptotically stable. On the other hand, if <math><msub><mrow><mi>R</mi></mrow><mn>0</mn></msub><mo>></mo><mn>1</mn></math> then there exists a unique stable disease equilibrium <math><msup><mi>E</mi><mo>∗</mo></msup></math>. The existence of solutions of the model and uniform persistence results are studied. Finally, using finite difference scheme, we present a number of numerical examples to verify our analytical results. Our results indicate that the global dynamics of the model are completely determined by the threshold value <math><msub><mrow><mi>R</mi></mrow><mn>0</mn></msub></math>.","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17513758.2020.1849831","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38614586","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

A stage-structured population model for activity-dependent dendritic spines. 活动依赖树突棘的阶段结构种群模型。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2021-05-01 Epub Date: 2020-12-04 DOI: 10.1080/17513758.2020.1839136

Morteza Rouhani, Steven M Baer, Sharon M Crook

{"title":"A stage-structured population model for activity-dependent dendritic spines.","authors":"Morteza Rouhani, Steven M Baer, Sharon M Crook","doi":"10.1080/17513758.2020.1839136","DOIUrl":"https://doi.org/10.1080/17513758.2020.1839136","url":null,"abstract":"Here we present a novel application of stage-structured population modelling to explore the properties of neuronal dendrites with spines. Dendritic spines are small protrusions that emanate from the dendritic shaft of several functionally important neurons in the cerebral cortex. They are the postsynaptic sites of over 90% of excitatory synapses in the mammalian brain. Here, we formulate a stage-structured population model of a passive dendrite with activity-dependent spines using a continuum approach. This computational study models three dynamic populations of activity-dependent spine types, corresponding to the anatomical categories of stubby, mushroom, and thin spines. In this stage-structured population model, transitions between spine type populations are driven by calcium levels that depend on local electrical activity. We explore the influence of the changing spine populations and spine types on the development of electrical propagation pathways in response to repetitive synaptic input, and which input frequencies are best for facilitating these pathways.","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17513758.2020.1839136","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38334382","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: 1

Nutritional regulation influencing colony dynamics and task allocations in social insect colonies. 营养调节对群居昆虫群落动态和任务分配的影响。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2021-05-01 Epub Date: 2020-07-07 DOI: 10.1080/17513758.2020.1786859

Feng Rao, Marisabel Rodriguez Messan, Angelica Marquez, Nathan Smith, Yun Kang

{"title":"Nutritional regulation influencing colony dynamics and task allocations in social insect colonies.","authors":"Feng Rao, Marisabel Rodriguez Messan, Angelica Marquez, Nathan Smith, Yun Kang","doi":"10.1080/17513758.2020.1786859","DOIUrl":"https://doi.org/10.1080/17513758.2020.1786859","url":null,"abstract":"In this paper, we use an adaptive modeling framework to model and study how nutritional status (measured by the protein to carbohydrate ratio) may regulate population dynamics and foraging task allocation of social insect colonies. Mathematical analysis of our model shows that both investment to brood rearing and brood nutrition are important for colony survival and dynamics. When division of labour and/or nutrition are in an intermediate value range, the model undergoes a backward bifurcation and creates multiple attractors due to bistability. This bistability implies that there is a threshold population size required for colony survival. When the investment in brood is large enough or nutritional requirements are less strict, the colony tends to survive, otherwise the colony faces collapse. Our model suggests that the needs of colony survival are shaped by the brood survival probability, which requires good nutritional status. As a consequence, better nutritional status can lead to a better survival rate of larvae and thus a larger worker population.","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17513758.2020.1786859","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38132357","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: 1

Mathematical assessment of the impact of cohort vaccination on pneumococcal carriage and serotype replacement. 队列疫苗接种对肺炎球菌携带和血清型替代影响的数学评估。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2021-05-01 Epub Date: 2021-02-17 DOI: 10.1080/17513758.2021.1884760

Tufail M Malik, Jemal Mohammed-Awel, Abba B Gumel, Elamin H Elbasha

{"title":"Mathematical assessment of the impact of cohort vaccination on pneumococcal carriage and serotype replacement.","authors":"Tufail M Malik, Jemal Mohammed-Awel, Abba B Gumel, Elamin H Elbasha","doi":"10.1080/17513758.2021.1884760","DOIUrl":"https://doi.org/10.1080/17513758.2021.1884760","url":null,"abstract":"Although pneumococcal vaccines are quite effective in reducing disease burden, factors such as imperfect vaccine efficacy and serotype replacement present an important challenge against realizing direct and herd protection benefits of the vaccines. In this study, a novel mathematical model is designed and used to describe the dynamics of two Streptococcus pneumoniae (SP) serotypes, in response to the introduction of a cohort vaccination program which targets one of the two serotypes. The model is fitted to a pediatric SP carriage prevalence data from Atlanta, GA. The model, which is rigorously analysed to investigate the existence and asymptotic stability properties of the associated equilibria (in addition to exploring conditions for competitive exclusion), is simulated to assess the impact of vaccination under different levels of serotype-specific competition and illustrate the phenomenon of serotype replacement. The calibrated model is used to forecast the carriage prevalence in the pediatric cohort over 30 years.","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17513758.2021.1884760","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"25374642","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: 1

How the concavity of reproduction/survival trade-offs impacts the evolution of life history strategies. 繁殖/生存权衡的凹凸性如何影响生命史策略的进化。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2021-05-01 Epub Date: 2020-11-30 DOI: 10.1080/17513758.2020.1853834

Alex P Farrell

引用次数: 2

Contrasting stoichiometric dynamics in terrestrial and aquatic grazer-producer systems. 陆地和水生食草-生产者系统的化学计量动力学对比。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2021-05-01 Epub Date: 2020-05-27 DOI: 10.1080/17513758.2020.1771442

Colleen M Davies, Hao Wang

引用次数: 3