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Modelling and analysis of an epidemic model with awareness caused by deaths due to fear.
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":"https://doi.org/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.
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":"https://doi.org/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
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.
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
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":"https://doi.org/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
Modelling measles transmission dynamics and the impact of control strategies on outbreak Management.
IF 1.8 4区 数学
Journal of Biological Dynamics Pub Date : 2025-12-01 Epub Date: 2025-03-18 DOI: 10.1080/17513758.2025.2479448
Olumuyiwa James Peter
{"title":"Modelling measles transmission dynamics and the impact of control strategies on outbreak Management.","authors":"Olumuyiwa James Peter","doi":"10.1080/17513758.2025.2479448","DOIUrl":"https://doi.org/10.1080/17513758.2025.2479448","url":null,"abstract":"<p><p>Measles is a highly contagious and potentially fatal disease, despite the availability of effective immunizations. This study formulates a deterministic mathematical model to investigate the transmission dynamics of measles, with eight compartments representing different epidemiological states such as susceptible, vaccinated, exposed, infected, early-treated, delayed-treated, hospitalized, and recovered individuals. We use the Next Generation Matrix (NGN) approach to obtain the basic reproduction number (<math><msub><mrow><mi>R</mi></mrow><mn>0</mn></msub></math>) and examine local stability at the disease-free equilibrium (DFE). Sensitivity analysis with Partial Rank Correlation Coefficients (PRCC) identifies significant parameters influencing disease dynamics, such as vaccination rates, transmission rate, treatment timings, and disease-induced mortality rates. Simulation results show that delayed therapy has a limited effect on lowering the infected population, emphasizing the importance of immediate intervention. Early treatment considerably reduces the number of infected individuals, whereas improved recovery rates in hospitalized cases result in fewer hospitalizations. Vaccination is extremely successful, with increased rates significantly lowering the susceptible population while boosting the vaccinated population. Higher disease-related mortality rates reduce the afflicted population, stressing the importance of strong control methods. The transmission rate has a substantial impact on infection rates and hospitalizations, emphasizing the need for effective public health policies and healthcare capacity. The combined effect of immunization and early treatment provides useful information for optimizing control measures. This study emphasizes the need of quick and effective measures in managing measles outbreaks and serves as a platform for future research into improved public health methods.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"19 1","pages":"2479448"},"PeriodicalIF":1.8,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659288","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 risk-induced dispersal strategy of the infected population for a disease-free state in the SIS epidemic model. SIS 流行病模型中无疾病状态下受感染人群的风险诱导扩散策略。
IF 2.8 4区 数学
Journal of Biological Dynamics Pub Date : 2024-12-01 Epub Date: 2024-05-08 DOI: 10.1080/17513758.2024.2352359
Wonhyung Choi, Inkyung Ahn
{"title":"A risk-induced dispersal strategy of the infected population for a disease-free state in the SIS epidemic model.","authors":"Wonhyung Choi, Inkyung Ahn","doi":"10.1080/17513758.2024.2352359","DOIUrl":"https://doi.org/10.1080/17513758.2024.2352359","url":null,"abstract":"<p><p>This article proposes a dispersal strategy for infected individuals in a spatial susceptible-infected-susceptible (SIS) epidemic model. The presence of spatial heterogeneity and the movement of individuals play crucial roles in determining the persistence and eradication of infectious diseases. To capture these dynamics, we introduce a moving strategy called risk-induced dispersal (RID) for infected individuals in a continuous-time patch model of the SIS epidemic. First, we establish a continuous-time <i>n</i>-patch model and verify that the RID strategy is an effective approach for attaining a disease-free state. This is substantiated through simulations conducted on 7-patch models and analytical results derived from 2-patch models. Second, we extend our analysis by adapting the patch model into a diffusive epidemic model. This extension allows us to explore further the impact of the RID movement strategy on disease transmission and control. We validate our results through simulations, which provide the effects of the RID dispersal strategy.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"18 1","pages":"2352359"},"PeriodicalIF":2.8,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140892570","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
Dynamics of a stochastic modified Leslie-Gower predator-prey system with hunting cooperation. 具有狩猎合作的随机修正莱斯利-高尔捕食者-猎物系统的动力学。
IF 2.8 4区 数学
Journal of Biological Dynamics Pub Date : 2024-12-01 Epub Date: 2024-06-20 DOI: 10.1080/17513758.2024.2366495
Chao Li, Peilin Shi
{"title":"Dynamics of a stochastic modified Leslie-Gower predator-prey system with hunting cooperation.","authors":"Chao Li, Peilin Shi","doi":"10.1080/17513758.2024.2366495","DOIUrl":"https://doi.org/10.1080/17513758.2024.2366495","url":null,"abstract":"<p><p>In this paper, we consider a stochastic two-species predator-prey system with modified Leslie-Gower. Meanwhile, we assume that hunting cooperation occurs in the predators. By using Itô formula and constructing a proper Lyapunov function, we first show that there is a unique global positive solution for any given positive initial value. Furthermore, based on Chebyshev inequality, the stochastic ultimate boundedness and stochastic permanence are discussed. Then, under some conditions, we prove the persistence in mean and extinction of system. Finally, we verify our results by numerical simulations.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"18 1","pages":"2366495"},"PeriodicalIF":2.8,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141428036","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.
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":"142796575","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 and analysis of a multilayer solid tumour with cell physiological age and resource limitations. 具有细胞生理年龄和资源限制的多层实体肿瘤建模与分析
IF 2.8 4区 数学
Journal of Biological Dynamics Pub Date : 2024-12-01 Epub Date: 2023-12-22 DOI: 10.1080/17513758.2023.2295492
Zhonghu Luo, Zijian Liu, Yuanshun Tan, Jin Yang
{"title":"Modeling and analysis of a multilayer solid tumour with cell physiological age and resource limitations.","authors":"Zhonghu Luo, Zijian Liu, Yuanshun Tan, Jin Yang","doi":"10.1080/17513758.2023.2295492","DOIUrl":"10.1080/17513758.2023.2295492","url":null,"abstract":"<p><p>We study an avascular spherical solid tumour model with cell physiological age and resource constraints in vivo. We divide the tumour cells into three components: proliferating cells, quiescent cells and dead cells in necrotic core. We assume that the division rate of proliferating cells is nonlinear due to the nutritional and spatial constraints. The proportion of newborn tumour cells entering directly into quiescent state is considered, since this proportion can respond to the therapeutic effect of drug. We establish a nonlinear age-structured tumour cell population model. We investigate the existence and uniqueness of the model solution and explore the local and global stabilities of the tumour-free steady state. The existence and local stability of the tumour steady state are studied. Finally, some numerical simulations are performed to verify the theoretical results and to investigate the effects of different parameters on the model.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"18 1","pages":"2295492"},"PeriodicalIF":2.8,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138886386","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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