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Introduction. 介绍。
IF 1.8 4区 数学
Journal of Biological Dynamics Pub Date : 2024-12-01 Epub Date: 2024-07-05 DOI: 10.1080/17513758.2024.2367892
Abba B Gumel, Shandelle Henson
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引用次数: 0
Optimal control of a multi-scale HIV-opioid model. 多尺度 HIV-opioid 模型的优化控制。
IF 2.8 4区 数学
Journal of Biological Dynamics Pub Date : 2024-12-01 Epub Date: 2024-02-18 DOI: 10.1080/17513758.2024.2317245
Eric Numfor, Necibe Tuncer, Maia Martcheva
{"title":"Optimal control of a multi-scale HIV-opioid model.","authors":"Eric Numfor, Necibe Tuncer, Maia Martcheva","doi":"10.1080/17513758.2024.2317245","DOIUrl":"10.1080/17513758.2024.2317245","url":null,"abstract":"<p><p>In this study, we apply optimal control theory to an immuno-epidemiological model of HIV and opioid epidemics. For the multi-scale model, we used four controls: treating the opioid use, reducing HIV risk behaviour among opioid users, entry inhibiting antiviral therapy, and antiviral therapy which blocks the viral production. Two population-level controls are combined with two within-host-level controls. We prove the existence and uniqueness of an optimal control quadruple. Comparing the two population-level controls, we find that reducing the HIV risk of opioid users has a stronger impact on the population who is both HIV-infected and opioid-dependent than treating the opioid disorder. The within-host-level antiviral treatment has an effect not only on the co-affected population but also on the HIV-only infected population. Our findings suggest that the most effective strategy for managing the HIV and opioid epidemics is combining all controls at both within-host and between-host scales.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"18 1","pages":"2317245"},"PeriodicalIF":2.8,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139900750","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 ODEs multiscale model with cell proliferation for hepatitis C virus infection treated with direct acting antiviral agents. 用直接作用抗病毒药物治疗丙型肝炎病毒感染的细胞增殖 ODEs 多尺度模型。
IF 1.8 4区 数学
Journal of Biological Dynamics Pub Date : 2024-12-01 Epub Date: 2024-11-13 DOI: 10.1080/17513758.2024.2423956
Hesham A Elkaranshawy, Hossam M Ezzat
{"title":"An ODEs multiscale model with cell proliferation for hepatitis C virus infection treated with direct acting antiviral agents.","authors":"Hesham A Elkaranshawy, Hossam M Ezzat","doi":"10.1080/17513758.2024.2423956","DOIUrl":"https://doi.org/10.1080/17513758.2024.2423956","url":null,"abstract":"<p><p>In a recent study, a mathematically identical ODE model is derived from a multiscale PDE model of hepatitis C virus infection, which helps to overcome the limitations of the PDE model in the analysis. Here, an extended proposed model is formulated for this transformed ODE model by including the hepatocyte proliferation of both uninfected and infected cells. Unlike the transformed model, the proposed model can predict the triphasic viral decline and the virus level after therapy cessation without oscillations. Numerical simulations are performed to investigate the effect of hepatocyte proliferation and therapy with direct-acting antivirals agents (DAAs). The basic reproduction number is obtained, the equilibrium points are specified, and their stability is analysed. A bifurcation analysis is performed to specify the bifurcation points and to study the effect of varying system parameters. Various viral load profiles generated by the model are confirmed to fit with reported data in the literature.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"18 1","pages":"2423956"},"PeriodicalIF":1.8,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142630730","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
Aziz Yakubu. 圣雅库布
IF 1.8 4区 数学
Journal of Biological Dynamics Pub Date : 2024-12-01 Epub Date: 2024-06-27 DOI: 10.1080/17513758.2024.2367893
Mike Reed
{"title":"Aziz Yakubu.","authors":"Mike Reed","doi":"10.1080/17513758.2024.2367893","DOIUrl":"https://doi.org/10.1080/17513758.2024.2367893","url":null,"abstract":"","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"18 1","pages":"2367893"},"PeriodicalIF":1.8,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141460181","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
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
Hunting cooperation in a prey-predator model with maturation delay. 有成熟延迟的猎物-捕食者模型中的狩猎合作
IF 2.8 4区 数学
Journal of Biological Dynamics Pub Date : 2024-12-01 Epub Date: 2024-03-22 DOI: 10.1080/17513758.2024.2332279
Yoichi Enatsu, Jyotirmoy Roy, Malay Banerjee
{"title":"Hunting cooperation in a prey-predator model with maturation delay.","authors":"Yoichi Enatsu, Jyotirmoy Roy, Malay Banerjee","doi":"10.1080/17513758.2024.2332279","DOIUrl":"10.1080/17513758.2024.2332279","url":null,"abstract":"<p><p>We investigate the dynamics of a prey-predator model with cooperative hunting among specialist predators and maturation delay in predator growth. First, we consider a model without delay and explore the effect of hunting time on the coexistence of predator and their prey. When the hunting time is long enough and the cooperation rate among predators is weak, prey and predator species tend to coexist. Furthermore, we observe the occurrences of a series of bifurcations that depend on the cooperation rate and the hunting time. Second, we introduce a maturation delay for predator growth and analyse its impact on the system's dynamics. We find that as the delay becomes larger, predator species become more likely to go extinct, as the long maturation delay hinders the growth of the predator population. Our numerical exploration reveals that the delay causes shifts in both the bifurcation curves and bifurcation thresholds of the non-delayed system.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"18 1","pages":"2332279"},"PeriodicalIF":2.8,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140186045","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
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