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Global dynamics of respiratory process in a class of bacterial culture. 一类细菌培养中呼吸过程的全局动力学。
IF 1.8 4区 数学
Journal of Biological Dynamics Pub Date : 2025-12-01 Epub Date: 2025-07-05 DOI: 10.1080/17513758.2025.2528680
Jiazhou Wu, Fabao Gao
{"title":"Global dynamics of respiratory process in a class of bacterial culture.","authors":"Jiazhou Wu, Fabao Gao","doi":"10.1080/17513758.2025.2528680","DOIUrl":"https://doi.org/10.1080/17513758.2025.2528680","url":null,"abstract":"<p><p>The global dynamic behavior of the respiration process in bacterial culture at different concentrations was comprehensively described using the qualitative theory of differential equations and symbolic calculation software.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"19 1","pages":"2528680"},"PeriodicalIF":1.8,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144568021","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 an epidemic model with awareness caused by deaths due to fear. 基于恐惧致死意识的流行病模型建模和分析。
IF 1.8 4区 数学
Journal of Biological Dynamics Pub Date : 2025-12-01 Epub Date: 2025-01-29 DOI: 10.1080/17513758.2025.2458890
Ling Xue, Junqi Huo, Yuxin Zhang
{"title":"Modelling and analysis of an epidemic model with awareness caused by deaths due to fear.","authors":"Ling Xue, Junqi Huo, Yuxin Zhang","doi":"10.1080/17513758.2025.2458890","DOIUrl":"10.1080/17513758.2025.2458890","url":null,"abstract":"<p><p>In this paper, we establish a compartmental model in which the transmission rate is associated with the fear of being infected by COVID-19. We provide a detailed analysis of the epidemic model and established results for the existence of a positively invariant set. The expression of the basic reproduction number <math><msub><mi>R</mi><mn>0</mn></msub></math> is characterized. It is shown that the disease-free equilibrium (DFE) is globally asymptotically stable if <math><msub><mi>R</mi><mn>0</mn></msub><mo><</mo><mn>1</mn></math>, and the system exhibits a forward bifurcation if <math><msub><mi>R</mi><mn>0</mn></msub><mo>=</mo><mn>1</mn></math>. When <math><msub><mi>R</mi><mn>0</mn></msub><mo>></mo><mn>1</mn></math>, the system is uniformly persistent, the DFE is unstable and there exists a unique and globally asymptotic stable endemic equilibrium (EE). We fit unknown parameters using the reported data in Canada from September 1 to October 10, 2021, and carry out sensitivity analysis. The quantitative analysis of the model with awareness demonstrates the significance of reducing the transmission rate and enhancing public protective awareness.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"19 1","pages":"2458890"},"PeriodicalIF":1.8,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143069004","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 analysis of a stochastic prey-predator model with fear effect and feedback control. 具有恐惧效应和反馈控制的随机捕食-捕食模型动力学分析。
IF 1.8 4区 数学
Journal of Biological Dynamics Pub Date : 2025-12-01 Epub Date: 2025-03-17 DOI: 10.1080/17513758.2025.2479461
Yan Zhang, Feng Lai, Shujing Gao, Yang Liu, Shuixian Yan
{"title":"Dynamical analysis of a stochastic prey-predator model with fear effect and feedback control.","authors":"Yan Zhang, Feng Lai, Shujing Gao, Yang Liu, Shuixian Yan","doi":"10.1080/17513758.2025.2479461","DOIUrl":"10.1080/17513758.2025.2479461","url":null,"abstract":"<p><p>In this work, the intricacies and complexities of dynamical properties are extensively studied for the proposed deterministic and stochastic prey-predator models. The influence of fear effects, prey refuge and feedback control are considered and thorough theoretical research is conducted on the systems. It commences by establishing the global stability and uniqueness of the positive equilibrium of the deterministic model. Then for the stochastic system, the existence, uniqueness and boundedness of a global positive solution are analysed by constructing appropriate Lyapunov functions. Sufficient conditions are established for the extinction and persistence of the stochastic model. It can be observed that both the fear effect and prey refuge have a greatly impact on the dynamics of system. Intermediate values of feedback control intensity may be the most beneficial to species coexistence. It provides new insights into the sustainability of ecosystems.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"19 1","pages":"2479461"},"PeriodicalIF":1.8,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143651600","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 modelling and optimal control of malaria transmission with antimalarial drug and insecticide resistance. 与抗疟药和杀虫剂耐药性有关的疟疾传播的数学建模和最优控制。
IF 1.8 4区 数学
Journal of Biological Dynamics Pub Date : 2025-12-01 Epub Date: 2025-06-24 DOI: 10.1080/17513758.2025.2522345
Gasper G Mwanga
{"title":"Mathematical modelling and optimal control of malaria transmission with antimalarial drug and insecticide resistance.","authors":"Gasper G Mwanga","doi":"10.1080/17513758.2025.2522345","DOIUrl":"https://doi.org/10.1080/17513758.2025.2522345","url":null,"abstract":"<p><p>This study presents a mathematical model to explore malaria transmission dynamics in the presence of antimalarial drug-resistant parasites and insecticide-resistant mosquitoes. The analytical findings demonstrate a stable disease-free equilibrium when the effective reproduction number is below one. For single-strain malaria infections, the endemic equilibrium may exhibit one, two or no solutions. The model is extended to incorporate three time-dependent controls: long-lasting insecticidal nets, antimalarial treatment and mosquito adulticides. Simulation results indicate that interventions excluding drug-resistant parasites and insecticide-resistant mosquitoes are ineffective. The most effective strategies combine insecticides targeting all vectors with treatments for all malaria cases, regardless of resistance. Efficiency analysis suggests implementing all three controls at <math><mo>≥</mo><mn>80</mn><mi>%</mi></math> efficacy for the maximum impact, while assessments of cost-effectiveness highlight the combination of long-lasting insecticidal nets and antimalarial treatment as a practical option in resource-constrained settings. Nonetheless, integrating all three measures is recommended for substantial malaria transmission reduction.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"19 1","pages":"2522345"},"PeriodicalIF":1.8,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144486737","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
Computational approaches of modelling human papillomavirus transmission and prevention strategies: a systematic review. 模拟人类乳头瘤病毒传播和预防策略的计算方法：系统回顾。
IF 1.8 4区 数学
Journal of Biological Dynamics Pub Date : 2025-12-01 Epub Date: 2025-01-17 DOI: 10.1080/17513758.2024.2436376
Weiyi Wang, Shailendra Sawleshwarkar, Mahendra Piraveenan
{"title":"Computational approaches of modelling human papillomavirus transmission and prevention strategies: a systematic review.","authors":"Weiyi Wang, Shailendra Sawleshwarkar, Mahendra Piraveenan","doi":"10.1080/17513758.2024.2436376","DOIUrl":"10.1080/17513758.2024.2436376","url":null,"abstract":"<p><p>Human papillomavirus (HPV) infection is the most common sexually transmitted infection in the world. Persistent oncogenic HPV infection has been a leading threat to global health and can lead to serious complications such as cervical cancer. Prevention interventions including vaccination and screening have been proven effective in reducing the risk of HPV-related diseases. In recent decades, computational epidemiology has been serving as a very useful tool to study HPV transmission dynamics and evaluation of prevention strategies. In this paper, we conduct a comprehensive literature review on state-of-the-art computational epidemic models for HPV disease dynamics, transmission dynamics, as well as prevention efforts. Selecting 45 most-relevant papers from an initial pool of 10,497 papers identified through keyword search, we classify them based on models used and prevention strategies employed, summarize current research trends, identify gaps in the present literature, and identify future research directions. In particular, we describe current consensus regarding optimal prevention strategies which favour prioritizing teenage girls for vaccination. We also note that optimal prevention strategies depend on the resources available in each country, with hybrid vaccination and screening being the most fruitful for developed countries, and screening-only approaches being most cost effective for low and middle income countries. We also highlight that in future, the use of computational and operations research tools such as game theory and linear programming, coupled with the large scale use of census and geographic information systems data, will greatly aid in the modelling, analysis and prevention of HPV.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"19 1","pages":"2436376"},"PeriodicalIF":1.8,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143014506","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 dynamics of CD4+ T cell proliferation and regulation. CD4+ T细胞增殖及调控的动态。
IF 1.8 4区 数学
Journal of Biological Dynamics Pub Date : 2025-12-01 Epub Date: 2025-01-29 DOI: 10.1080/17513758.2025.2458867
Mingran Zhang, Junling Ma, Roderick Edwards, Meili Li
{"title":"The dynamics of CD4+ T cell proliferation and regulation.","authors":"Mingran Zhang, Junling Ma, Roderick Edwards, Meili Li","doi":"10.1080/17513758.2025.2458867","DOIUrl":"10.1080/17513758.2025.2458867","url":null,"abstract":"<p><p>We use mathematical modeling to study the proliferation dynamics of CD4+ T cells within an immune response. This proliferation is driven by the autocrine reaction of helper T cells and interleukin-2 (IL-2), and regulated by natural regulatory T cells (nTregs). Previous studies suggested that a fratricidal mechanism is necessary to eliminate helper T cells post-infection. Contrary to this, our mathematical analysis establishes that the depletion of these cells is due to two pivotal factors: the saturation in the proliferation rate of helper CD4+ T cells at high IL-2 concentrations, and the activation rate of nTregs outpacing their death rate. This yields an excitable process, such that the proliferation starts once the helper T cell population passes a threshold. Additionally, we find that when the proliferation of nTregs lags behind their mortality, induced regulatory T cells (iTregs) are crucial to curbing the proliferation of helper CD4+ T cells.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"19 1","pages":"2458867"},"PeriodicalIF":1.8,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143069023","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
Population dynamics driven by harvesting and prey refuge in the absence and presence of time delays. 在没有和存在时间延迟的情况下，由收获和猎物避难驱动的种群动态。
IF 1.8 4区 数学
Journal of Biological Dynamics Pub Date : 2025-12-01 Epub Date: 2025-06-10 DOI: 10.1080/17513758.2025.2516461
Tiancai Liao, Jian Chen, Min Zhu, Yi Wang
{"title":"Population dynamics driven by harvesting and prey refuge in the absence and presence of time delays.","authors":"Tiancai Liao, Jian Chen, Min Zhu, Yi Wang","doi":"10.1080/17513758.2025.2516461","DOIUrl":"https://doi.org/10.1080/17513758.2025.2516461","url":null,"abstract":"<p><p>In this paper, we study the dynamics of a delayed predator-prey model with harvesting and prey refuge. For the model without time delays, we show the stability of boundary and positive equilibria, given the existence of bionomic equilibrium, and provide the optimal harvesting policy. For the model with time delays, we show the local stability of the positive equilibrium for four different time delay cases, give the existence of Hopf bifurcation near the positive equilibrium, and prove the direction and stability of bifurcating periodic solutions. Ecologically, via numerical simulations, we find that the synergistic effects of time delay, refuge and harvesting can have complex effects on population dynamics. One of the most important results indicates that the increase of prey refuge or prey harvesting rate can eliminate the periodic solutions induced by time delay, while the increase in predator harvesting rate can maintain this periodic phenomenon.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"19 1","pages":"2516461"},"PeriodicalIF":1.8,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144267732","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
Bifurcation analysis and chaos control in a Hassell-Varley model with the Ricker growth. 具有Ricker增长的Hassell-Varley模型的分岔分析与混沌控制。
IF 1.8 4区 数学
Journal of Biological Dynamics Pub Date : 2025-12-01 Epub Date: 2025-05-12 DOI: 10.1080/17513758.2025.2502336
Lijiao Jia, Yunil Roh, Il Hyo Jung
{"title":"Bifurcation analysis and chaos control in a Hassell-Varley model with the Ricker growth.","authors":"Lijiao Jia, Yunil Roh, Il Hyo Jung","doi":"10.1080/17513758.2025.2502336","DOIUrl":"10.1080/17513758.2025.2502336","url":null,"abstract":"<p><p>The Ricker-type growth model, which incorporates a density-dependent mechanism, is widely used in ecological modelling to fit a broad range of complex population growth patterns. In this study, the complex dynamics of a modified Hassell-Varley model with Ricker growth were analysed. We first investigated the permanence of solutions, the existence and uniqueness of the positive steady state and the local stability of equilibrium points. We confirm that, under certain parametric conditions, the proposed system undergoes a flip or Neimark-Sacker bifurcation within the interior of <math><msubsup><mi>R</mi><mo>+</mo><mn>2</mn></msubsup></math>. Two feedback control measures were employed to control bifurcation and chaos in the proposed system. Simultaneously, several examples are provided to support our theoretical results using numerical simulations, and are conducted to illustrate the intricate behaviours of the modified Hassell-Varley model.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"19 1","pages":"2502336"},"PeriodicalIF":1.8,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144002582","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 modeling and Hopf bifurcation analysis of tumor macrophage interaction with polarization delay. 肿瘤巨噬细胞极化延迟相互作用的数学建模与Hopf分岔分析。
IF 1.8 4区 数学
Journal of Biological Dynamics Pub Date : 2025-12-01 Epub Date: 2025-05-26 DOI: 10.1080/17513758.2025.2508240
Jianping Li, Nan Liu, Danni Wang, Hongli Yang
{"title":"Mathematical modeling and Hopf bifurcation analysis of tumor macrophage interaction with polarization delay.","authors":"Jianping Li, Nan Liu, Danni Wang, Hongli Yang","doi":"10.1080/17513758.2025.2508240","DOIUrl":"10.1080/17513758.2025.2508240","url":null,"abstract":"<p><p>Macrophages have both anti-tumor and pro-tumor effects. Time delay is commonly observed in real systems, yet its impact on tumor-macrophage dynamics remains unclear. This paper develops a new tumor-macrophage model with time delay. The model describes the interactions between tumor cells (T), the classically activated macrophages (M1), the alternatively activated macrophages (M2), and the inactive macrophages (M0). The system's solution is computed, and equilibrium stability is analyzed. The existence of Hopf bifurcation is subsequently established. There exists bifurcating periodic solutions near the internal equilibrium, showing tumor cells and macrophages can coexist in the long term, as well as the potential for tumor relapse. Furthermore, the normal form and center manifold theorem are utilized to study the nature of Hopf bifurcation. Sensitivity analysis highlights the effect of parameters on tumor population dynamics. Numerical simulations validate the theory, elaborating the model can serve as a useful tool for tumor system analysis.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"19 1","pages":"2508240"},"PeriodicalIF":1.8,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144144028","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
Importance of pesticide and additional food in pest-predator system: a theoretical study. 农药和补充食物在害虫-捕食系统中的重要性的理论研究。
IF 1.8 4区 数学
Journal of Biological Dynamics Pub Date : 2025-12-01 Epub Date: 2024-12-26 DOI: 10.1080/17513758.2024.2444263
K Durga Prasad, B S R V Prasad, Kritish De
{"title":"Importance of pesticide and additional food in pest-predator system: a theoretical study.","authors":"K Durga Prasad, B S R V Prasad, Kritish De","doi":"10.1080/17513758.2024.2444263","DOIUrl":"10.1080/17513758.2024.2444263","url":null,"abstract":"<p><p>Integrated pest management (IPM) combines chemical and biological control to maintain pest populations below economic thresholds. The impact of providing additional food for predators on pest-predator dynamics, along- side pesticide use, in the IPM context remains unstudied. To address this issue, in this work a theoretical model was developed using differential equations, assuming Holling type II functional response for the predator, with additional food sources included. Strategies for controlling pest populations were derived by analyzing Hopf bifurcation occurring in the system using dynamical system theory. The study revealed that the quality and quantity of additional food supplied to predators play a crucial role in the system's dynamics. Pesticides, combined with the introduction of predators supported by high-quality supplementary food, enable a quick elimination of pests from the system more effectively. This observation highlights the role of IPM in optimizing pest management strategies with minimal pesticide application and supporting the environment.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"19 1","pages":"2444263"},"PeriodicalIF":1.8,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142898901","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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