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Optimal control analysis of a mathematical model of malaria and COVID-19 co-infection dynamics. 疟疾与COVID-19共感染动态数学模型的最优控制分析。
IF 2.2 4区 数学
Journal of Biological Dynamics Pub Date : 2025-12-31 Epub Date: 2025-10-28 DOI: 10.1080/17513758.2025.2568392
Abou Bakari Diabaté, Boureima Sangaré, Ousmane Koutou
{"title":"Optimal control analysis of a mathematical model of malaria and COVID-19 co-infection dynamics.","authors":"Abou Bakari Diabaté, Boureima Sangaré, Ousmane Koutou","doi":"10.1080/17513758.2025.2568392","DOIUrl":"https://doi.org/10.1080/17513758.2025.2568392","url":null,"abstract":"<p><p>In this paper, we analyze a deterministic model of malaria and Corona Virus Disease 2019 co-infection within a homogeneous population. We first studied the single infection model of each disease and then the co-infection dynamics. We calculate the basic reproduction number of each model and study the existence and stability of the steady states. Then, we show that under some suitable conditions, both the malaria single infection model and co-infection model exhibit backward bifurcation. Furthermore, we analyze the conditions of extinction, competitive exclusion and co-existence of these two diseases. In addition, a local sensitivity analysis of the basic reproduction numbers is performed to explore the impact of the different parameters' variability on the dynamics of each disease. Moreover, we apply Pontryagin's maximum principle to determine optimal strategies to control the two diseases in case of co-infection. Finally, some numerical simulation results are presented to support the theoretical findings.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"19 1","pages":"2568392"},"PeriodicalIF":2.2,"publicationDate":"2025-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145394624","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
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
Sustainable harvesting strategy in an ecological competition model with interference. 干扰生态竞争模型下的可持续采收策略
IF 2.2 4区 数学
Journal of Biological Dynamics Pub Date : 2025-12-01 Epub Date: 2025-09-29 DOI: 10.1080/17513758.2025.2554907
Peng Feng
{"title":"Sustainable harvesting strategy in an ecological competition model with interference.","authors":"Peng Feng","doi":"10.1080/17513758.2025.2554907","DOIUrl":"https://doi.org/10.1080/17513758.2025.2554907","url":null,"abstract":"<p><p>This paper examines a three-species ecological competition model with two predators and one prey, incorporating food-limited growth and both linear and quadratic harvesting strategies. Using mathematical analysis, we identify equilibrium points and derive conditions for their stability and persistence. The results reveal that quadratic harvesting significantly enhances stability, promotes coexistence, and mitigates extinction risks compared to linear harvesting. Numerical simulations validate the theoretical findings, highlighting the effectiveness of quadratic harvesting in managing population dynamics. These insights contribute to the mathematical understanding of sustainable harvesting strategies in complex ecological systems.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"19 1","pages":"2554907"},"PeriodicalIF":2.2,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145193584","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
Stochastic HIV-1 infection model with time delay: case study of clinical data. 具有时间延迟的随机HIV-1感染模型：临床数据的案例研究。
IF 2.2 4区 数学
Journal of Biological Dynamics Pub Date : 2025-12-01 Epub Date: 2025-09-19 DOI: 10.1080/17513758.2025.2553766
Yan Li, Yongchang Wei, Shuang Li, Yong Li, Zhihang Peng
{"title":"Stochastic HIV-1 infection model with time delay: case study of clinical data.","authors":"Yan Li, Yongchang Wei, Shuang Li, Yong Li, Zhihang Peng","doi":"10.1080/17513758.2025.2553766","DOIUrl":"https://doi.org/10.1080/17513758.2025.2553766","url":null,"abstract":"<p><p>This paper proposes an immunosuppressive infection model with time delay and stochastic perturbation. A stochastic threshold <math><msubsup><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow><mi>s</mi></msubsup></math> is constructed, and the sufficient conditions for virus extinction and weak persistence are given. Subsequently, we respectively fit the SDDE and ODE models to the real data, and conduct a sensitivity analysis of the equilibrium. The greater the noise intensity, the more obvious the oscillation amplitude of the solution curve around the immune-free equilibrium, the larger noise intensity can cause the originally persistent virus in ODE to go extinct in the SDDE model. The greater the time delay, the longer it takes for the virus and immune cells to reach their first peaks. The viral replication rate significantly affects the virus-immune system, and the reproduction of HIV-1 can be inhibited by modulating it. A relatively high viral inhibition rate will lead to the extinction of immune cells while the virus persists.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"19 1","pages":"2553766"},"PeriodicalIF":2.2,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145093002","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
Study on a delayed pest management model with pulse chemical control. 脉冲化学控制延迟害虫治理模型的研究。
IF 2.2 4区 数学
Journal of Biological Dynamics Pub Date : 2025-12-01 Epub Date: 2025-09-18 DOI: 10.1080/17513758.2025.2548493
Yize Chen, Juhua Liang
{"title":"Study on a delayed pest management model with pulse chemical control.","authors":"Yize Chen, Juhua Liang","doi":"10.1080/17513758.2025.2548493","DOIUrl":"https://doi.org/10.1080/17513758.2025.2548493","url":null,"abstract":"<p><p>Chemical control is crucial in pest management, but delayed responses to pesticide application can significantly affect its success. This study develops a type of novel mathematical models combining delayed impulse differential equations with pulse pesticide spraying to evaluate these delayed effects. The uniform stability of the pest eradication solution is analysed, and key parameters influencing pest control success are explored. Considering delays in both pest population growth reaching environmental capacity and pesticide response, a double delayed impulse differential equation is formulated. The asymptotic stability and exponential stability of the system are studied, and threshold conditions for pest extinction are identified. The findings help optimize pest control strategies under delayed pesticide responses.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"19 1","pages":"2548493"},"PeriodicalIF":2.2,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145082204","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
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
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