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Metapopulation models with anti-symmetric Lotka-Volterra systems. 具有反对称洛特卡-伏特拉系统的元模型。
IF 1.8 4区 数学
Journal of Biological Dynamics Pub Date : 2024-12-01 Epub Date: 2024-09-06 DOI: 10.1080/17513758.2024.2397404
Anju Susan Anish, Bernard De Baets, Shodhan Rao
{"title":"Metapopulation models with anti-symmetric Lotka-Volterra systems.","authors":"Anju Susan Anish, Bernard De Baets, Shodhan Rao","doi":"10.1080/17513758.2024.2397404","DOIUrl":"https://doi.org/10.1080/17513758.2024.2397404","url":null,"abstract":"<p><p>We consider different anti-symmetric Lotka-Volterra systems governing the pairwise interactions among the same <i>n</i> species inhabiting <i>m</i> spatially discrete habitat patches, with each patch having infinitely many equilibria. In the absence of inter-patch species migration, the species densities in each isolated patch evolve in periodic orbits. A central idea of this work is to design a control action to make the trajectories of the system asymptotically converge to a desired coexistence equilibrium among the infinitely many equilibrium points. We propose a scheme to simultaneously control different anti-symmetric Lotka-Volterra systems in multiple habitat patches by designing a metapopulation model. By introducing a suitable inter-patch migration of species, we prove that the trajectories of the resulting metapopulation model are effectively asymptotically converging to the desired coexistence equilibrium. The stability of the coexistence equilibrium is proved using Lyapunov methods coupled with LaSalle's invariance principle.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"18 1","pages":"2397404"},"PeriodicalIF":1.8,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142141524","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
An epidemiological model for analysing pandemic trends of novel coronavirus transmission with optimal control 利用优化控制分析新型冠状病毒传播大流行趋势的流行病学模型
IF 2.8 4区 数学
Journal of Biological Dynamics Pub Date : 2023-12-29 DOI: 10.1080/17513758.2023.2299001
Tahir Khan, Fathalla A. Rihan, Qasem M. Al-Mdallal
{"title":"An epidemiological model for analysing pandemic trends of novel coronavirus transmission with optimal control","authors":"Tahir Khan, Fathalla A. Rihan, Qasem M. Al-Mdallal","doi":"10.1080/17513758.2023.2299001","DOIUrl":"https://doi.org/10.1080/17513758.2023.2299001","url":null,"abstract":"Symptomatic and asymptomatic individuals play a significant role in the transmission dynamics of novel Coronaviruses. By considering the dynamical behaviour of symptomatic and asymptomatic individu...","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"13 1","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139070222","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
Mathematical model of Ehrlichia chaffeensis transmission dynamics in dogs 狗体内埃立卡氏虫传播动态的数学模型
IF 2.8 4区 数学
Journal of Biological Dynamics Pub Date : 2023-12-11 DOI: 10.1080/17513758.2023.2287082
Folashade B. Agusto, Ramsès Djidjou-Demasse, Ousmane Seydi
{"title":"Mathematical model of Ehrlichia chaffeensis transmission dynamics in dogs","authors":"Folashade B. Agusto, Ramsès Djidjou-Demasse, Ousmane Seydi","doi":"10.1080/17513758.2023.2287082","DOIUrl":"https://doi.org/10.1080/17513758.2023.2287082","url":null,"abstract":"Ehrlichia chaffeensis is a tick-borne disease transmitted by ticks to dogs. Few studies have mathematical modelled such tick-borne disease in dogs, and none have developed models that incorporate d...","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"31 1","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138569858","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
Honoring the life and legacy of Fred Brauer. 纪念弗雷德·布劳尔的一生和遗产。
IF 2.8 4区 数学
Journal of Biological Dynamics Pub Date : 2023-12-01 Epub Date: 2023-11-21 DOI: 10.1080/17513758.2023.2285096
Christopher M Kribs, Pauline van den Driessche
{"title":"Honoring the life and legacy of Fred Brauer.","authors":"Christopher M Kribs, Pauline van den Driessche","doi":"10.1080/17513758.2023.2285096","DOIUrl":"10.1080/17513758.2023.2285096","url":null,"abstract":"<p><p>The work of Fred Brauer (1932-2021) broke new ground in several areas of mathematical population biology, especially mathematical epidemiology and population management. This special issue reflects his legacy: the lines of inquiry he opened, the impact of his research and his books, and his mentoring of generations of young researchers. This dedication highlights milestones in his career and connects his work to the contributions in this issue.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"17 1","pages":"2285096"},"PeriodicalIF":2.8,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138177627","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
Modelling and analysis of periodic impulsive releases of the Nilaparvata lugens infected with wStri-Wolbachia. 感染wstr - wolbachia的Nilaparvata lugens周期性脉冲释放的建模和分析。
IF 2.8 4区 数学
Journal of Biological Dynamics Pub Date : 2023-12-01 Epub Date: 2023-11-29 DOI: 10.1080/17513758.2023.2287077
Xiangjun Dai, Qi Quan, Jianjun Jiao
{"title":"Modelling and analysis of periodic impulsive releases of the <i>Nilaparvata</i> <i>lugens</i> infected with <i>wStri</i>-<i>Wolbachia</i>.","authors":"Xiangjun Dai, Qi Quan, Jianjun Jiao","doi":"10.1080/17513758.2023.2287077","DOIUrl":"10.1080/17513758.2023.2287077","url":null,"abstract":"<p><p>In this paper, we formulate a population suppression model and a population replacement model with periodic impulsive releases of <i>Nilaparvata</i> <i>lugens</i> infected with <i>wStri</i>. The conditions for the stability of wild-<math><mi>N</mi><mo>.</mo><mspace></mspace><mi>l</mi><mi>u</mi><mi>g</mi><mi>e</mi><mi>n</mi><mi>s</mi></math>-eradication periodic solution of two systems are obtained by applying the <i>Floquet</i> theorem and comparison theorem. And the sufficient conditions for the persistence in the mean of wild <math><mi>N</mi><mo>.</mo><mspace></mspace><mi>l</mi><mi>u</mi><mi>g</mi><mi>e</mi><mi>n</mi><mi>s</mi></math> are also given. In addition, the sufficient conditions for the extinction and persistence of the wild <math><mi>N</mi><mo>.</mo><mspace></mspace><mi>l</mi><mi>u</mi><mi>g</mi><mi>e</mi><mi>n</mi><mi>s</mi></math> in the subsystem without <i>wLug</i> are also obtained. Finally, we give numerical analysis which shows that increasing the release amount or decreasing the release period are beneficial for controlling the wild <math><mi>N</mi><mo>.</mo><mspace></mspace><mi>l</mi><mi>u</mi><mi>g</mi><mi>e</mi><mi>n</mi><mi>s</mi></math>, and the efficiency of population replacement strategy in controlling wild populations is higher than that of population suppression strategy under the same release conditions.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"17 1","pages":"2287077"},"PeriodicalIF":2.8,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138452871","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
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
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