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Dynamical questions in volume transmission. 体积传输中的动力学问题。
IF 2.8 4区 数学
Journal of Biological Dynamics Pub Date : 2023-12-01 Epub Date: 2023-10-24 DOI: 10.1080/17513758.2023.2269986
Allison Cruikshank, H Frederik Nijhout, Janet Best, Michael Reed
{"title":"Dynamical questions in volume transmission.","authors":"Allison Cruikshank,&nbsp;H Frederik Nijhout,&nbsp;Janet Best,&nbsp;Michael Reed","doi":"10.1080/17513758.2023.2269986","DOIUrl":"10.1080/17513758.2023.2269986","url":null,"abstract":"<p><p>In volume transmission (or neuromodulation) neurons do not make one-to-one connections to other neurons, but instead simply release neurotransmitter into the extracellular space from numerous varicosities. Many well-known neurotransmitters including serotonin (5HT), dopamine (DA), histamine (HA), Gamma-Aminobutyric Acid (GABA) and acetylcholine (ACh) participate in volume transmission. Typically, the cell bodies are in one volume and the axons project to a distant volume in the brain releasing the neurotransmitter there. We introduce volume transmission and describe mathematically two natural homeostatic mechanisms. In some brain regions several neurotransmitters in the extracellular space affect each other's release. We investigate the dynamics created by this comodulation in two different cases: serotonin and histamine; and the comodulation of 4 neurotransmitters in the striatum and we compare to experimental data. This kind of comodulation poses new dynamical questions as well as the question of how these biochemical networks influence the electrophysiological networks in the brain.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"17 1","pages":"2269986"},"PeriodicalIF":2.8,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50159074","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
Stability switches and chaos induced by delay in a reaction-diffusion nutrient-plankton model. 反应-扩散营养物-浮游生物模型中由延迟引起的稳定性开关和混沌。
IF 2.8 4区 数学
Journal of Biological Dynamics Pub Date : 2023-12-01 Epub Date: 2023-11-14 DOI: 10.1080/17513758.2023.2272852
Qing Guo, Lijun Wang, He Liu, Yi Wang, Jianbing Li, Pankaj Kumar Tiwari, Min Zhao, Chuanjun Dai
{"title":"Stability switches and chaos induced by delay in a reaction-diffusion nutrient-plankton model.","authors":"Qing Guo, Lijun Wang, He Liu, Yi Wang, Jianbing Li, Pankaj Kumar Tiwari, Min Zhao, Chuanjun Dai","doi":"10.1080/17513758.2023.2272852","DOIUrl":"10.1080/17513758.2023.2272852","url":null,"abstract":"<p><p>In this paper, we investigate a reaction-diffusion model incorporating dynamic variables for nutrient, phytoplankton, and zooplankton. Moreover, we account for the impact of time delay in the growth of phytoplankton following nutrient uptake. Our theoretical analysis reveals that the time delay can trigger the emergence of persistent oscillations in the model via a Hopf bifurcation. We also analytically track the direction of Hopf bifurcation and the stability of the bifurcating periodic solutions. Our simulation results demonstrate stability switches occurring for the positive equilibrium with an increasing time lag. Furthermore, the model exhibits homogeneous periodic-2 and 3 solutions, as well as chaotic behaviour. These findings highlight that the presence of time delay in the phytoplankton growth can bring forth dynamical complexity to the nutrient-plankton system of aquatic habitats.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"17 1","pages":"2272852"},"PeriodicalIF":2.8,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"92157010","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
Steady solution and its stability of a mathematical model of diabetic atherosclerosis. 糖尿病动脉粥样硬化数学模型的稳态解及其稳定性。
IF 1.8 4区 数学
Journal of Biological Dynamics Pub Date : 2023-12-01 DOI: 10.1080/17513758.2023.2257734
Xuming Xie
{"title":"Steady solution and its stability of a mathematical model of diabetic atherosclerosis.","authors":"Xuming Xie","doi":"10.1080/17513758.2023.2257734","DOIUrl":"10.1080/17513758.2023.2257734","url":null,"abstract":"<p><p>Atherosclerosis is a leading cause of death worldwide. Making matters worse, nearly 463 million people have diabetes, which increases atherosclerosis-related inflammation. Diabetic patients are twice as likely to have a heart attack or stroke. In this paper, we consider a simplified mathematical model for diabetic atherosclerosis involving LDL, HDL, glucose, insulin, free radicals (ROS), <i>β</i> cells, macrophages and foam cells, which satisfy a system of partial differential equations with a free boundary, the interface between the blood flow and the plaque. We establish the existence of small radially symmetric stationary solutions to the model and study their stability. Our analysis shows that the plague will persist due to hyperglycemia even when LDL and HDL are in normal range, hence confirms that diabetes increase the risk of atherosclerosis.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"17 1","pages":"2257734"},"PeriodicalIF":1.8,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10576982/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10337421","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mathematical modelling and release thresholds of transgenic sterile mosquitoes. 转基因不育蚊子的数学建模和释放阈值。
IF 2.8 4区 数学
Journal of Biological Dynamics Pub Date : 2023-12-01 Epub Date: 2023-11-28 DOI: 10.1080/17513758.2023.2285749
Jianshe Yu, Jia Li
{"title":"Mathematical modelling and release thresholds of transgenic sterile mosquitoes.","authors":"Jianshe Yu, Jia Li","doi":"10.1080/17513758.2023.2285749","DOIUrl":"10.1080/17513758.2023.2285749","url":null,"abstract":"<p><p>We formulate simple differential equation models to study the impact of releases of transgenic sterile mosquitoes carrying a dominant lethal on mosquito control based on the modified sterile insects technique. The early acting bisex, late acting bisex, early acting female-killing, and late acting female-killing lethality strategies are all considered. We determine release thresholds of the transgenic sterile mosquitoes, respectively, for these models by investigating the existence of positive equilibria and their stability. We compare the model dynamics, in particular, the thresholds of the models numerically. The late acting lethality strategies are generally more effective than their corresponding early acting lethality strategies, but the comparison between the late acting bisex and early acting female-killing lethality strategies depends on different parameter settings.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"17 1","pages":"2285749"},"PeriodicalIF":2.8,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138452870","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
Modeling impact of vaccination on COVID-19 dynamics in St. Louis. 模拟疫苗接种对圣路易斯 COVID-19 动态的影响。
IF 2.8 4区 数学
Journal of Biological Dynamics Pub Date : 2023-12-01 Epub Date: 2023-12-05 DOI: 10.1080/17513758.2023.2287084
Alexanderia Lacy, Morganne Igoe, Praachi Das, Trevor Farthing, Alun L Lloyd, Cristina Lanzas, Agricola Odoi, Suzanne Lenhart
{"title":"Modeling impact of vaccination on COVID-19 dynamics in St. Louis.","authors":"Alexanderia Lacy, Morganne Igoe, Praachi Das, Trevor Farthing, Alun L Lloyd, Cristina Lanzas, Agricola Odoi, Suzanne Lenhart","doi":"10.1080/17513758.2023.2287084","DOIUrl":"10.1080/17513758.2023.2287084","url":null,"abstract":"<p><p>The region of St. Louis, Missouri, has displayed a high level of heterogeneity in COVID-19 cases, hospitalization, and vaccination coverage. We investigate how human mobility, vaccination, and time-varying transmission rates influenced SARS-CoV-2 transmission in five counties in the St. Louis area. A COVID-19 model with a system of ordinary differential equations was developed to illustrate the dynamics with a fully vaccinated class. Using the weekly number of vaccinations, cases, and hospitalization data from five counties in the greater St. Louis area in 2021, parameter estimation for the model was completed. The transmission coefficients for each county changed four times in that year to fit the model and the changing behaviour. We predicted the changes in disease spread under scenarios with increased vaccination coverage. SafeGraph local movement data were used to connect the forces of infection across various counties.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"17 1","pages":"2287084"},"PeriodicalIF":2.8,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138488818","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 computational approach to identifiability analysis for a model of the propagation and control of COVID-19 in Chile. 新冠肺炎在智利传播和控制模型的可识别性分析的计算方法。
IF 1.8 4区 数学
Journal of Biological Dynamics Pub Date : 2023-12-01 DOI: 10.1080/17513758.2023.2256774
Raimund Bürger, Gerardo Chowell, Ilja Kröker, Leidy Yissedt Lara-Díaz
{"title":"A computational approach to identifiability analysis for a model of the propagation and control of COVID-19 in Chile.","authors":"Raimund Bürger, Gerardo Chowell, Ilja Kröker, Leidy Yissedt Lara-Díaz","doi":"10.1080/17513758.2023.2256774","DOIUrl":"10.1080/17513758.2023.2256774","url":null,"abstract":"<p><p>A computational approach is adapted to analyze the parameter identifiability of a compartmental model. The model is intended to describe the progression of the COVID-19 pandemic in Chile during the initial phase in early 2020 when government declared quarantine measures. The computational approach to analyze the structural and practical identifiability is applied in two parts, one for synthetic data and another for some Chilean regional data. The first part defines the identifiable parameter sets when these recover the true parameters used to create the synthetic data. The second part compares the results derived from synthetic data, estimating the identifiable parameter sets from regional Chilean epidemic data. Experiments provide evidence of the loss of identifiability if some initial conditions are estimated, the period of time used to fit is before the peak, and if a significant proportion of the population is involved in quarantine periods.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"17 1","pages":"2256774"},"PeriodicalIF":1.8,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10620014/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10649857","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mathematical model on HIV and nutrition. 艾滋病毒和营养的数学模型。
IF 2.8 4区 数学
Journal of Biological Dynamics Pub Date : 2023-12-01 Epub Date: 2023-11-28 DOI: 10.1080/17513758.2023.2287087
Tharusha Bandara, Maia Martcheva, Calistus N Ngonghala
{"title":"Mathematical model on HIV and nutrition.","authors":"Tharusha Bandara, Maia Martcheva, Calistus N Ngonghala","doi":"10.1080/17513758.2023.2287087","DOIUrl":"10.1080/17513758.2023.2287087","url":null,"abstract":"<p><p>HIV continues to be a major global health issue, having claimed millions of lives in the last few decades. While several empirical studies support the fact that proper nutrition is useful in the fight against HIV, very few studies have focused on developing and using mathematical modelling approaches to assess the association between HIV, human immune response to the disease, and nutrition. We develop a within-host model for HIV that captures the dynamic interactions between HIV, the immune system and nutrition. We find that increased viral activity leads to increased serum protein levels. We also show that the viral production rate is positively correlated with HIV viral loads, as is the enhancement rate of protein by virus. Although our numerical simulations indicate a direct correlation between dietary protein intake and serum protein levels in HIV-infected individuals, further modelling and clinical studies are necessary to gain comprehensive understanding of the relationship.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"17 1","pages":"2287087"},"PeriodicalIF":2.8,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138452869","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 contact tracing SIR model for randomly mixed populations. 随机混合群体接触追踪SIR模型。
IF 2.8 4区 数学
Journal of Biological Dynamics Pub Date : 2022-12-01 DOI: 10.1080/17513758.2022.2153938
Sam Bednarski, Laura L E Cowen, Junling Ma, Tanya Philippsen, P van den Driessche, Manting Wang
{"title":"A contact tracing SIR model for randomly mixed populations.","authors":"Sam Bednarski,&nbsp;Laura L E Cowen,&nbsp;Junling Ma,&nbsp;Tanya Philippsen,&nbsp;P van den Driessche,&nbsp;Manting Wang","doi":"10.1080/17513758.2022.2153938","DOIUrl":"https://doi.org/10.1080/17513758.2022.2153938","url":null,"abstract":"<p><p>Contact tracing is an important intervention measure to control infectious diseases. We present a new approach that borrows the edge dynamics idea from network models to track contacts included in a compartmental SIR model for an epidemic spreading in a randomly mixed population. Unlike network models, our approach does not require statistical information of the contact network, data that are usually not readily available. The model resulting from this new approach allows us to study the effect of contact tracing and isolation of diagnosed patients on the control reproduction number and number of infected individuals. We estimate the effects of tracing coverage and capacity on the effectiveness of contact tracing. Our approach can be extended to more realistic models that incorporate latent and asymptomatic compartments.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"16 1","pages":"859-879"},"PeriodicalIF":2.8,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10486605","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
The effects of evolution on the stability of competing species. 进化对竞争物种稳定性的影响。
IF 2.8 4区 数学
Journal of Biological Dynamics Pub Date : 2022-12-01 DOI: 10.1080/17513758.2022.2154860
S Elaydi, Y Kang, R Luís
{"title":"The effects of evolution on the stability of competing species.","authors":"S Elaydi,&nbsp;Y Kang,&nbsp;R Luís","doi":"10.1080/17513758.2022.2154860","DOIUrl":"https://doi.org/10.1080/17513758.2022.2154860","url":null,"abstract":"<p><p>Based on evolutionary game theory and Darwinian evolution, we propose and study discrete-time competition models of two species where at least one species has an evolving trait that affects their intra-specific, but not their inter-specific competition coefficients. By using perturbation theory, and the theory of the limiting equations of non-autonomous discrete dynamical systems, we obtain global stability results. Our theoretical results indicate that evolution may promote and/or suppress the stability of the coexistence equilibrium depending on the environment. This relies crucially on the speed of evolution and on how the intra-specific competition coefficient depends on the evolving trait. In general, equilibrium destabilization occurs when <math><mi>α</mi><mo>></mo><mn>2</mn></math>, when the speed of evolution is sufficiently slow. In this case, we conclude that evolution selects against complex dynamics. However, when evolution proceeds at a faster pace, destabilization can occur when <math><mi>α</mi><mo><</mo><mn>2</mn></math>. In this case, if the competition coefficient is highly sensitive to changes in the trait <i>v</i>, destabilization and complex dynamics occur. Moreover, destabilization may lead to either a period-doubling bifurcation, as in the non-evolutionary Ricker equation, or to a Neimark-Sacker bifurcation.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"16 1","pages":"816-839"},"PeriodicalIF":2.8,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10488189","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
Dynamical analysis of a modified Leslie-Gower Holling-type II predator-prey stochastic model in polluted environments with interspecific competition and impulsive toxicant input. 具有种间竞争和脉冲毒物输入的污染环境中改进的Leslie-Gower holling型II型捕食者-猎物随机模型的动力学分析
IF 2.8 4区 数学
Journal of Biological Dynamics Pub Date : 2022-12-01 DOI: 10.1080/17513758.2022.2155717
Yongxin Gao, Shuyuan Yao
{"title":"Dynamical analysis of a modified Leslie-Gower Holling-type II predator-prey stochastic model in polluted environments with interspecific competition and impulsive toxicant input.","authors":"Yongxin Gao,&nbsp;Shuyuan Yao","doi":"10.1080/17513758.2022.2155717","DOIUrl":"https://doi.org/10.1080/17513758.2022.2155717","url":null,"abstract":"<p><p>In this paper, we use a mean-reverting Ornstein-Uhlenbeck process to simulate the stochastic perturbations in the environment, and then a modified Leslie-Gower Holling-type II predator-prey stochastic model in a polluted environment with interspecific competition and pulse toxicant input is proposed. Through constructing V-function and applying <math><mi>It</mi><msup><mrow><mrow><mover><mi>o</mi><mo>^</mo></mover></mrow></mrow><mo>'</mo></msup><mi>s</mi></math> formula, the sharp sufficient conditions including strongly persistent in the mean, persistent in the mean and extinction are established. In addition, the theoretical results are verified by numerical simulation.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"16 1","pages":"840-858"},"PeriodicalIF":2.8,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10838564","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
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