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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":null,"pages":null},"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":null,"pages":null},"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
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":null,"pages":null},"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
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 2.8 4区 数学
Journal of Biological Dynamics Pub Date : 2024-12-01 Epub Date: 2023-12-22 DOI: 10.1080/17513758.2023.2288873
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":null,"pages":null},"PeriodicalIF":2.8,"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
Bounding the generation time distribution uncertainty on R0 estimation from exponential growth rates. 从指数增长率估算 R0 的世代时间分布不确定性边界。
IF 1.8 4区 数学
Journal of Biological Dynamics Pub Date : 2024-12-01 Epub Date: 2024-10-16 DOI: 10.1080/17513758.2024.2410720
James Cochran, Bogdan Oancea, Dan Pirjol
{"title":"Bounding the generation time distribution uncertainty on <i>R</i><sub>0</sub> estimation from exponential growth rates.","authors":"James Cochran, Bogdan Oancea, Dan Pirjol","doi":"10.1080/17513758.2024.2410720","DOIUrl":"https://doi.org/10.1080/17513758.2024.2410720","url":null,"abstract":"<p><p>The basic reproduction number <math><msub><mi>R</mi><mn>0</mn></msub></math> is one of the main parameters determining the spreading of an epidemic in a population of susceptible individuals. Wallinga and Lipsitch proposed a method for estimating <math><msub><mi>R</mi><mn>0</mn></msub></math> using the Euler-Lotka equation, which requires the Laplace transform of the generation interval distribution. The determination of the generation time distribution is challenging, as the generation time is not directly observable. We prove upper and lower bounds on <math><msub><mi>R</mi><mn>0</mn></msub></math> using only the first few moments of the generation interval distributions and study the sensitivity of the bounds to these parameters. The bounds do not require the exact shape of the generation interval distribution and give robust estimates of the <math><mi>r</mi><mo>-</mo><msub><mi>R</mi><mn>0</mn></msub></math> relationship.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142478402","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 role of long-lived plasma cells in viral clearance. 长寿命浆细胞在病毒清除中的作用。
IF 2.8 4区 数学
Journal of Biological Dynamics Pub Date : 2024-12-01 Epub Date: 2024-03-06 DOI: 10.1080/17513758.2024.2325523
Mingran Zhang, Meili Li, Junling Ma
{"title":"The role of long-lived plasma cells in viral clearance.","authors":"Mingran Zhang, Meili Li, Junling Ma","doi":"10.1080/17513758.2024.2325523","DOIUrl":"10.1080/17513758.2024.2325523","url":null,"abstract":"<p><p>The adaptive immune system has two types of plasma cells (PC), long-lived plasma cells (LLPC) and short-lived plasma cells (SLPC), that differ in their lifespan. In this paper, we propose that LLPC is crucial to the clearance of viral particles in addition to reducing the viral basic reproduction number in secondary infections. We use a sequence of within-host mathematical models to show that, CD8 T cells, SLPC and memory B cells cannot achieve full viral clearance, and the viral load will reach a low positive equilibrium level because of a continuous replenishment of target cells. However, the presence of LLPC is crucial for viral clearance.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140040657","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
Estimation of spreading speeds and travelling waves for the lattice pioneer-climax competition system. 网格先驱-高潮竞争系统的传播速度和行波估算。
IF 2.8 4区 数学
Journal of Biological Dynamics Pub Date : 2024-12-01 Epub Date: 2024-06-11 DOI: 10.1080/17513758.2024.2365792
Haifeng Song, Yuxiang Zhang
{"title":"Estimation of spreading speeds and travelling waves for the lattice pioneer-climax competition system.","authors":"Haifeng Song, Yuxiang Zhang","doi":"10.1080/17513758.2024.2365792","DOIUrl":"https://doi.org/10.1080/17513758.2024.2365792","url":null,"abstract":"<p><p>This paper concerns the invasion dynamics of the lattice pioneer-climax competition model with parameter regions in which the system is non-monotone. We estimate the spreading speeds and establish appropriate conditions under which the spreading speeds are linearly selected. Moreover, the existence of travelling waves is determined by constructing suitable upper and lower solutions. It shows that the spreading speed coincides with the minimum wave speed of travelling waves if the diffusion rate of the invasive species is larger or equal to that of the native species. Our results are new to estimate the spreading speed of non-monotone lattice pioneer-climax systems, and the techniques developed in this work can be used to study the invasion dynamics of the pioneer-climax system with interaction delays, which could extend the results in the literature. The analysis replies on the construction of auxiliary systems, upper and lower solutions, and the monotone dynamical system approach.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141301900","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
Improving adherence to a daily PrEP regimen is key when considering long-time partnerships. 在考虑长期合作伙伴关系时，提高对每日 PrEP 方案的依从性是关键所在。
IF 1.8 4区 数学
Journal of Biological Dynamics Pub Date : 2024-12-01 Epub Date: 2024-08-20 DOI: 10.1080/17513758.2024.2390843
S J Gutowska, K A Hoffman, K F Gurski
{"title":"Improving adherence to a daily PrEP regimen is key when considering long-time partnerships.","authors":"S J Gutowska, K A Hoffman, K F Gurski","doi":"10.1080/17513758.2024.2390843","DOIUrl":"https://doi.org/10.1080/17513758.2024.2390843","url":null,"abstract":"<p><p>A population model of HIV that includes susceptible individuals not taking the pre-exposure prophylaxis (PrEP), susceptible individuals taking daily PrEP, and infected individuals is developed for casual partnerships, as well as monogamous and non-monogamous long-term partnerships. Reflecting the reality of prescription availability and usage in the U.S., the PrEP taking susceptible population is a mix of individuals designated by the CDC as high and low risk for acquiring HIV. The rate of infection for non-monogamous long-term partnerships with differential susceptibility is challenging to calculate and requires Markov chain theory to represent the movement between susceptible populations before infection. The parameters associated with PrEP initiation, suspension and adherence impact both the reproduction number of the model and the elasticity indices of the reproduction model. A multi-parameter analysis reveals that increasing adherence has the largest effect on decreasing the number of new infections.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142005639","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 tuberculosis transmission model with different genders. 不同性别的结核病传播动态模型。
IF 1.8 4区 数学
Journal of Biological Dynamics Pub Date : 2024-12-01 Epub Date: 2024-09-06 DOI: 10.1080/17513758.2024.2394665
Si Wang, Hui Cao
{"title":"The dynamics of tuberculosis transmission model with different genders.","authors":"Si Wang, Hui Cao","doi":"10.1080/17513758.2024.2394665","DOIUrl":"https://doi.org/10.1080/17513758.2024.2394665","url":null,"abstract":"<p><p>The dynamics of tuberculosis transmission model with different genders are to be established and studied. The basic regeneration numbers <math><msub><mrow><mi>R</mi></mrow><mn>0</mn></msub><mo>=</mo><msub><mrow><mi>R</mi></mrow><mi>F</mi></msub><mo>+</mo><msub><mrow><mi>R</mi></mrow><mi>M</mi></msub></math> are to be defined, where <math><msub><mrow><mi>R</mi></mrow><mi>F</mi></msub></math> and <math><msub><mrow><mi>R</mi></mrow><mi>M</mi></msub></math> to be the basic reproduction number of tuberculosis transmission in female and male populations, respectively. The existence and global stability of the disease-free equilibrium was discussed when <math><msub><mrow><mi>R</mi></mrow><mn>0</mn></msub><mo><</mo><mn>1</mn></math>. The global dynamic behaviours of the corresponding limit system under some conditions are to be provided, including the existence, uniqueness, and global stability of the disease-free equilibrium and endemic equilibrium. The numerical simulation shows that the endemic equilibrium may be unique and stable when <math><msub><mrow><mi>R</mi></mrow><mn>0</mn></msub><mo>></mo><mn>1</mn></math>, and the system will undergo Hopf bifurcation based on some parameter values. Finally, we applied this model to analyse the transmission of tuberculosis in China, estimated the incidence of tuberculosis in China in 2035, and gave the conclusion that controlling the incidence of tuberculosis in male populations could better reduce the incidence of tuberculosis in China.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142141525","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
Investigating the impact of vaccine hesitancy on an emerging infectious disease: a mathematical and numerical analysis. 调查疫苗犹豫不决对新发传染病的影响：数学和数值分析。
IF 2.8 4区 数学
Journal of Biological Dynamics Pub Date : 2024-12-01 Epub Date: 2024-01-04 DOI: 10.1080/17513758.2023.2298988
Indunil M Hewage, Kevin E M Church, Elissa J Schwartz
{"title":"Investigating the impact of vaccine hesitancy on an emerging infectious disease: a mathematical and numerical analysis.","authors":"Indunil M Hewage, Kevin E M Church, Elissa J Schwartz","doi":"10.1080/17513758.2023.2298988","DOIUrl":"10.1080/17513758.2023.2298988","url":null,"abstract":"<p><p>Throughout the last two centuries, vaccines have been helpful in mitigating numerous epidemic diseases. However, vaccine hesitancy has been identified as a substantial obstacle in healthcare management. We examined the epidemiological dynamics of an emerging infection under vaccination using an SVEIR model with differential morbidity. We mathematically analyzed the model, derived <math><msub><mrow><mi>R</mi></mrow><mn>0</mn></msub></math>, and provided a complete analysis of the bifurcation at <math><msub><mrow><mi>R</mi></mrow><mn>0</mn></msub><mo>=</mo><mn>1</mn></math>. Sensitivity analysis and numerical simulations were used to quantify the tradeoffs between vaccine efficacy and vaccine hesitancy on reducing the disease burden. Our results indicated that if the percentage of the population hesitant about taking the vaccine is 10%, then a vaccine with 94% efficacy is required to reduce the peak of infections by 40%. If 60% of the population is reluctant about being vaccinated, then even a perfect vaccine will not be able to reduce the peak of infections by 40%.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139089128","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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