Journal of Biological Dynamics最新文献_第8页

Universality of stable multi-cluster periodic solutions in a population model of the cell cycle with negative feedback. 负反馈细胞周期种群模型中稳定多簇周期解的通用性。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2021-12-01 DOI: 10.1080/17513758.2021.1971781

Kiattisak Prathom, Todd R Young

{"title":"Universality of stable multi-cluster periodic solutions in a population model of the cell cycle with negative feedback.","authors":"Kiattisak Prathom, Todd R Young","doi":"10.1080/17513758.2021.1971781","DOIUrl":"https://doi.org/10.1080/17513758.2021.1971781","url":null,"abstract":"We study a population model where cells in one part of the cell cycle may affect the progress of cells in another part. If the influence, or feedback, from one part to another is negative, simulations of the model almost always result in multiple temporal clusters formed by groups of cells. We study regions in parameter space where periodic 'k-cyclic' solutions are stable. The regions of stability coincide with sub-triangles on which certain events occur in a fixed order. For boundary sub-triangles with order '<math><mrow><mi>r</mi><mi>s</mi><mn>1</mn></mrow></math>', we prove that the k-cyclic periodic solution is asymptotically stable if the index of the sub-triangle is relatively prime with respect to the number of clusters k and neutrally stable otherwise. For negative linear feedback, we prove that the interior of the parameter set is covered by stable sub-triangles, i.e. a stable k-cyclic solution always exists for some k. We observe numerically that the result also holds for many forms of nonlinear feedback, but may break down in extreme cases.","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"15 1","pages":"455-522"},"PeriodicalIF":2.8,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39393864","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

Homogenous mixing and network approximations in discrete-time formulation of a SIRS model. SIRS模型离散时间公式中的均匀混合和网络近似。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2021-12-01 DOI: 10.1080/17513758.2021.2005835

Ilaria Renna

{"title":"Homogenous mixing and network approximations in discrete-time formulation of a SIRS model.","authors":"Ilaria Renna","doi":"10.1080/17513758.2021.2005835","DOIUrl":"https://doi.org/10.1080/17513758.2021.2005835","url":null,"abstract":"A discrete-time deterministic epidemic model is proposed to better understand the contagious dynamics and the behaviour observed in the incidence of real infectious diseases. For this purpose, we analyse a SIRS model both in a random-mixing approach and in a small-world network formulation. The models include the basic parameters that characterize an epidemic: infection and recovery times, as well as mechanisms of contagion. Depending on the parameters, the random-mixing model has different types of behaviour of an epidemic: pathogen extinction; endemic infection; sustained oscillations and dynamic extinction. Spatial effects are included in our network-based approach, where each individual of a population is represented by a node of a small-world network. Our network-based approach includes rewiring connections to account for time-varying network structure, a consequence of the natural response to the emergence of an epidemic (e.g. avoiding contacts with infected individuals). Random and adaptive rewiring conditions are analysed and numerical simulation are made. A comparison of model predictions with the actual effects of COVID-19 infection on population that occurred in Italy and France is produced. Results of the time series of infected people show that our adaptive evolving networks represent effective strategies able to decrease the epidemic spreading.","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"15 1","pages":"635-651"},"PeriodicalIF":2.8,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39953906","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

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

Chimera and cluster collective states in a dispersal ecological network under state-dependent feedback control and complex habitat structure. 状态依赖反馈控制和复杂生境结构下弥散生态网络中的嵌合体和集群集体状态。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2021-12-01 DOI: 10.1080/17513758.2021.1992518

Yi Yang, Lirong Liu, Changcheng Xiang, Wenjie Qin

{"title":"Chimera and cluster collective states in a dispersal ecological network under state-dependent feedback control and complex habitat structure.","authors":"Yi Yang, Lirong Liu, Changcheng Xiang, Wenjie Qin","doi":"10.1080/17513758.2021.1992518","DOIUrl":"https://doi.org/10.1080/17513758.2021.1992518","url":null,"abstract":"Pest control based on an economic threshold (ET) can effectively prevent excessive pest control measures such as pesticide abuse and overharvesting. The instinctive dispersal of pest populations in biological network patches for better survival poses challenges for pest management. As long as the pest density is controlled below the economic threshold and no pest outbreak occurs, the aim of pest management can be achieved and it is not necessary to completely remove the pests. This study focuses on the issues of chimera states and cluster solutions in regular bidirectional biological networks with state-dependent impulsive pest management. We consider the influence of two different control modes on the system states, namely global control and local control. Local control is found to be more likely to induce the chimera state. In addition, in the local coupling mode, a higher coupling strength is more likely to generate a coherent state, whereas a lower coupling strength is more likely to generate chimera and incoherent states. Furthermore, the cluster size is inversely related to the coupling strength under local coupling and global control.","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"15 1","pages":"563-579"},"PeriodicalIF":2.8,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39562681","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

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":"15 sup1","pages":"S248-S272"},"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":"15 sup1","pages":"S105-S133"},"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":"15 sup1","pages":"S62-S80"},"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":"15 sup1","pages":"S35-S61"},"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