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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
Within-host dynamics of HTLV-2 and HIV-1 co-infection with delay. HTLV-2和HIV-1合并感染的宿主内动力学与延迟。
IF 1.8 4区 数学
Journal of Biological Dynamics Pub Date : 2025-12-01 Epub Date: 2025-05-21 DOI: 10.1080/17513758.2025.2506536
A M Elaiw, E A Almohaimeed
{"title":"Within-host dynamics of HTLV-2 and HIV-1 co-infection with delay.","authors":"A M Elaiw, E A Almohaimeed","doi":"10.1080/17513758.2025.2506536","DOIUrl":"10.1080/17513758.2025.2506536","url":null,"abstract":"<p><p>This paper formulates a mathematical model for the co-infection of HTLV-2 and HIV-1 with latent reservoirs, four types of distributed-time delays and HIV-1-specific B cells. We establish that the solutions remain bounded and nonnegative, identify the system's steady states, and derive sufficient conditions ensuring both their existence and global asymptotic stability. The system's global stability is confirmed using Lyapunov's method. We provide numerical simulations to support the stability results. Sensitivity analysis of basic reproduction numbers of HTLV-2 mono-infection (<math><msub><mi>R</mi><mrow><mn>1</mn></mrow></msub></math>) and HIV-1 mono-infection (<math><msub><mi>R</mi><mrow><mn>2</mn></mrow></msub></math>) is conducted. We examine how time delays influence the interaction between HIV-1 and HTLV-2. Including delay terms in the model reflects the influence of antiviral treatments, which help decrease <math><msub><mi>R</mi><mrow><mn>1</mn></mrow></msub></math> and <math><msub><mi>R</mi><mrow><mn>2</mn></mrow></msub></math>, thus limiting the spread of infection. This highlights the potential for designing therapies that prolong delay period. Incorporating such delays improves model precision and supports more effective evaluation of treatment strategies.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"19 1","pages":"2506536"},"PeriodicalIF":1.8,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144121180","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
Stationary distribution of a stochastic SEIR model with infectivity in the incubation period and homestead-isolation on the susceptible under regime switching. 具有潜伏期传染性的随机SEIR模型的平稳分布，易感者在状态转换下的家园隔离。
IF 1.8 4区 数学
Journal of Biological Dynamics Pub Date : 2025-12-01 Epub Date: 2025-06-24 DOI: 10.1080/17513758.2025.2521509
Ying He, Bo Bi
{"title":"Stationary distribution of a stochastic SEIR model with infectivity in the incubation period and homestead-isolation on the susceptible under regime switching.","authors":"Ying He, Bo Bi","doi":"10.1080/17513758.2025.2521509","DOIUrl":"https://doi.org/10.1080/17513758.2025.2521509","url":null,"abstract":"<p><p>This paper is concerned with a stochastic SEIR model with infectivity in the incubation period and homestead-isolation on the susceptible, which is perturbed by white and colour noises. The model has a unique stationary distribution, which reflects the persistence of epidemics over a long period. Using the Has-minskii theorem and constructing stochastic Lyapunov functions with regime switching, we derive an important condition <math><msubsup><mi>R</mi><mn>0</mn><mi>s</mi></msubsup><mo>.</mo></math> Comparing the expression for <math><msub><mi>R</mi><mn>0</mn></msub></math> and <math><msubsup><mi>R</mi><mn>0</mn><mi>s</mi></msubsup><mo>,</mo></math> we can see that if there is no environmental noise, then <math><msubsup><mi>R</mi><mn>0</mn><mi>s</mi></msubsup><mo>=</mo><msub><mi>R</mi><mn>0</mn></msub><mo>.</mo></math> It ensures the asymptotic stability of the positive equilibrium <math><msup><mi>E</mi><mo>∗</mo></msup></math> of the corresponding deterministic system.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"19 1","pages":"2521509"},"PeriodicalIF":1.8,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144486738","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. 模拟麻疹传播动态和控制策略对疫情管理的影响。
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":"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
Bifurcations of a modified Leslie-Gower predator-prey model with fear, Allee effect and hunting cooperation strategy. 考虑恐惧、Allee效应和狩猎合作策略的改进Leslie-Gower捕食-被捕食模型的分岔。
IF 2.2 4区 数学
Journal of Biological Dynamics Pub Date : 2025-12-01 Epub Date: 2025-09-05 DOI: 10.1080/17513758.2025.2552730
Weili Kong, Yuanfu Shao
{"title":"Bifurcations of a modified Leslie-Gower predator-prey model with fear, Allee effect and hunting cooperation strategy.","authors":"Weili Kong, Yuanfu Shao","doi":"10.1080/17513758.2025.2552730","DOIUrl":"https://doi.org/10.1080/17513758.2025.2552730","url":null,"abstract":"<p><p>The fear preoften leads to changes in the physiological characteristics of the prey. Different stages of prey exhibit different physiological behaviours, such as susceptibility to predator risk, which often leads to Allee effect. Taking into account the influence of these factors, a modified Leslie-Gower predator-prey model with Allee effect and stage structure is constructed in this paper. By use of variational technique and normal form theory, the criteria assuring the appearance of transcritical bifurcation, saddle-node bifurcation, Hopf bifurcation and its direction are all established. Specially, such codimension 2 bifurcations as Bautin bifurcation and Bogdanov-Takens bifurcation are presented. The bubble phenomenon and bistability are detected. All theoretical findings are verified by numerical examples. The biological effects of fear level, Allee effect and stage structure on system stability are analysed.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"19 1","pages":"2552730"},"PeriodicalIF":2.2,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145001750","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
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 1.8 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":"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":1.8,"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 1.8 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":"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":1.8,"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
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 1.8 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":1.8,"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
Optimal control strategies on HIV/AIDS and pneumonia co-infection with mathematical modelling approach. 用数学建模方法优化艾滋病毒/艾滋病和肺炎合并感染的控制策略。
IF 1.8 4区 数学
Journal of Biological Dynamics Pub Date : 2024-12-01 Epub Date: 2023-12-22 DOI: 10.1080/17513758.2023.2288873
Shewafera Wondimagegnhu Teklu, Birhanu Baye Terefe, Dejen Ketema Mamo, Yohannes Fissha Abebaw
{"title":"Optimal control strategies on HIV/AIDS and pneumonia co-infection with mathematical modelling approach.","authors":"Shewafera Wondimagegnhu Teklu, Birhanu Baye Terefe, Dejen Ketema Mamo, Yohannes Fissha Abebaw","doi":"10.1080/17513758.2023.2288873","DOIUrl":"10.1080/17513758.2023.2288873","url":null,"abstract":"<p><p>In this paper, a compartmental model on the co-infection of pneumonia and HIV/AIDS with optimal control strategies was formulated using the system of ordinary differential equations. Using qualitative methods, we have analysed the mono-infection and HIV/AIDS and pneumonia co-infection models. We have computed effective reproduction numbers by applying the next-generation matrix method, applying Castillo Chavez criteria the models disease-free equilibrium points global stabilities were shown, while we have used the Centre manifold criteria to determine that the pneumonia infection and pneumonia and HIV/AIDS co-infection exhibit the phenomenon of backward bifurcation whenever the corresponding effective reproduction number is less than unity. We carried out the numerical simulations to investigate the behaviour of the co-infection model solutions. Furthermore, we have investigated various optimal control strategies to predict the best control strategy to minimize and possibly to eradicate the HIV/AIDS and pneumonia co-infection from the community.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"18 1","pages":"2288873"},"PeriodicalIF":1.8,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138886387","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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