Mathematical Biosciences and Engineering最新文献

Massera's theorem on arbitrary discrete time domains. 任意离散时域上的Massera定理。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-06-06 DOI: 10.3934/mbe.2025067

Martin Bohner, Jaqueline G Mesquita, Sabrina Streipert

引用次数: 0

Food choices and body weight changes: A mathematical model analysis. 食物选择与体重变化：数学模型分析。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-06-05 DOI: 10.3934/mbe.2025065

Mantana Chudtong, Andrea De Gaetano

引用次数: 0

Paramatrized intrusive POD-based reduced-order models applied to advection-diffusion-reaction problems. 基于参数化侵入式pod的降阶模型在平流扩散反应问题中的应用。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-06-05 DOI: 10.3934/mbe.2025066

P Solán-Fustero, J L Gracia, A Navas-Montilla, Pilar García-Navarro

引用次数: 0

Dynamic optimization of fishing tax and tourism fees for sustainable bioeconomic resource management. 面向可持续生物经济资源管理的渔业税收和旅游收费动态优化。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-05-28 DOI: 10.3934/mbe.2025064

Santanu Bhattacharya, Nandadulal Bairagi

{"title":"Dynamic optimization of fishing tax and tourism fees for sustainable bioeconomic resource management.","authors":"Santanu Bhattacharya, Nandadulal Bairagi","doi":"10.3934/mbe.2025064","DOIUrl":"https://doi.org/10.3934/mbe.2025064","url":null,"abstract":"Balancing economic prosperity with environmental conservation is crucial in managing renewable bioeconomic resources. We explored a predator-prey fishery model that incorporates tourism, dynamic harvesting, and pricing strategies. Our analysis showed that increased fishing taxes reduce fishing efforts, enabling fish populations to recover. Furthermore, higher entrance fees for ecotourism support the predator population's growth. Bifurcation analysis revealed key dynamic transitions, including transcritical and Hopf bifurcations. A deeper look into coupled parameter bifurcation uncovered a transcritical bifurcation of the limit cycle, emphasizing the system's complexity. Using Pontryagin's maximum principle, we optimized fishing taxes and ecotourism entrance fees to achieve sustainable trade-offs between ecosystem health and societal revenue. The results highlighted that societal revenue peaked at an intermediate level of entrance fees, suggesting diminishing returns beyond a certain point. Revenue landscape analysis further showed that centralized, two-parameter optimization strategies outperform decentralized, single-parameter approaches. These insights provide policymakers with effective tools to design regulations that promote ecological resilience and economic viability through balanced fishing and tourism practices.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"22 7","pages":"1751-1789"},"PeriodicalIF":2.6,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144660901","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Modeling the impact of temperature on the dynamics of carrier-dependent infectious diseases with control strategies. 用控制策略模拟温度对载体依赖性传染病动力学的影响。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-05-28 DOI: 10.3934/mbe.2025063

Shubham Chaudhry, Gauri Agrawal, Maia Martcheva, A K Misra

{"title":"Modeling the impact of temperature on the dynamics of carrier-dependent infectious diseases with control strategies.","authors":"Shubham Chaudhry, Gauri Agrawal, Maia Martcheva, A K Misra","doi":"10.3934/mbe.2025063","DOIUrl":"https://doi.org/10.3934/mbe.2025063","url":null,"abstract":"The spread of diseases poses significant threats to human health globally. The dynamic nature of infectious diseases, especially those that also rely on carriers (e.g., house flies) for transmission, requires innovative strategies to control their spread, as environmental conditions such as temperature, humidity, etc., affect the rate of growth of the carrier population. This study introduces a mathematical model to assess the effect of increasing global average temperature rise caused by carbon dioxide emissions and chemical control strategies on the dynamics of such diseases. The stability properties of feasible equilibrium solutions were discussed. Sensitivity analysis was also performed to highlight the key parameters that may help to design effective intervention strategies to control disease transmission. The model was further analyzed for an optimal control problem by incorporating a control measure on the application rate of chemical insecticides to reduce the carrier population. Through the combination of analytical techniques and numerical simulations, we have evaluated the effectiveness of chemical control strategies under varying epidemiological parameters. The model also explored the critical thresholds necessary for achieving disease control and eradication. Our results are valuable to public health officials and policymakers in designing effective interventions against carrier-dependent infectious diseases.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"22 7","pages":"1722-1750"},"PeriodicalIF":2.6,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144660904","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Challenges in the mathematical modeling of the spatial diffusion of SARS-CoV-2 in Chile. 智利SARS-CoV-2空间扩散数学建模面临的挑战。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-05-27 DOI: 10.3934/mbe.2025062

Gilberto González-Parra, Cristina-Luisovna Pérez, Marcos Llamazares, Rafael-J Villanueva, Jesus Villegas-Villanueva

{"title":"Challenges in the mathematical modeling of the spatial diffusion of SARS-CoV-2 in Chile.","authors":"Gilberto González-Parra, Cristina-Luisovna Pérez, Marcos Llamazares, Rafael-J Villanueva, Jesus Villegas-Villanueva","doi":"10.3934/mbe.2025062","DOIUrl":"https://doi.org/10.3934/mbe.2025062","url":null,"abstract":"We propose several spatial-temporal epidemiological mathematical models to study their suitability to approximate the dynamics of the early phase of the COVID-19 pandemic in Chile. The model considers the population density of susceptible, infected, and recovered individuals. The models are based on a system of partial differential equations. The first model considers a space-invariant transmission rate, and the second modeling approach is based on different space-variant transmission rates. The third modeling approach, which is more complex, uses a transmission rate that varies with space and time. One main aim of this study is to present the advantages and drawbacks of the mathematical approaches proposed to describe the COVID-19 pandemic in Chile. We show that the calibration of the models is challenging. The results of the model's calibration suggest that the spread of SARS-CoV-2 in the regions of Chile was different. Moreover, this study provides additional insight since few studies have explored similar mathematical modeling approaches with real-world data.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"22 7","pages":"1680-1721"},"PeriodicalIF":2.6,"publicationDate":"2025-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144660900","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Optimal therapy schedule of chimeric antigen receptor (CAR) T cell immunotherapy. 嵌合抗原受体（CAR） T细胞免疫治疗的最佳治疗方案。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-05-21 DOI: 10.3934/mbe.2025061

Ruohan Li, Jinzhi Lei

引用次数: 0

Observer-based event-triggered impulsive control of delayed reaction-diffusion neural networks. 基于观测器的延迟反应扩散神经网络事件触发脉冲控制。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-05-20 DOI: 10.3934/mbe.2025060

Luyao Li, Licheng Fang, Huan Liang, Tengda Wei

引用次数: 0

Physics-informed neural networks for optimal vaccination plan in SIR epidemic models. SIR流行病模型中最优疫苗接种计划的物理信息神经网络。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-05-20 DOI: 10.3934/mbe.2025059

Minseok Kim, Yeongjong Kim, Yeoneung Kim

{"title":"Physics-informed neural networks for optimal vaccination plan in SIR epidemic models.","authors":"Minseok Kim, Yeongjong Kim, Yeoneung Kim","doi":"10.3934/mbe.2025059","DOIUrl":"https://doi.org/10.3934/mbe.2025059","url":null,"abstract":"This work investigates the minimum eradication time in a controlled susceptible-infectious-recovered model with constant infection and recovery rates. The eradication time is defined as the earliest time the infectious population falls below a prescribed threshold and remains below it. Leveraging the fact that this problem reduces to solving a Hamilton-Jacobi-Bellman (HJB) equation, we propose a mesh-free framework based on a physics-informed neural network to approximate the solution. Moreover, leveraging the well-known structure of the optimal control of the problem, we efficiently obtain the optimal vaccination control from the minimum eradication time using the dynamic programming principle. To improve training stability and accuracy, we incorporate a variable scaling method and provide theoretical justification through a neural tangent kernel analysis. Numerical experiments show that this technique significantly enhances convergence, reducing the mean squared residual error by approximately 80% compared with standard physics-informed approaches. Furthermore, the method accurately identifies the optimal switching time. These results demonstrate the effectiveness of the proposed deep learning framework as a computational tool for solving optimal control problems in epidemic modeling as well as the corresponding HJB equations.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"22 7","pages":"1598-1633"},"PeriodicalIF":2.6,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144660908","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Measures of cumulative residual Tsallis entropy for concomitants of generalized order statistics based on the Morgenstern family with application to medical data. 基于Morgenstern族的广义阶统计伴随量的累积残差Tsallis熵测度及其在医疗数据中的应用。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-05-15 DOI: 10.3934/mbe.2025058

Ghada Mohammed Mansour, Haroon Mohamed Barakat, Islam Abdullah Husseiny, Magdy Nagy, Ahmed Hamdi Mansi, Metwally Alsayed Alawady

{"title":"Measures of cumulative residual Tsallis entropy for concomitants of generalized order statistics based on the Morgenstern family with application to medical data.","authors":"Ghada Mohammed Mansour, Haroon Mohamed Barakat, Islam Abdullah Husseiny, Magdy Nagy, Ahmed Hamdi Mansi, Metwally Alsayed Alawady","doi":"10.3934/mbe.2025058","DOIUrl":"https://doi.org/10.3934/mbe.2025058","url":null,"abstract":"Ever since Tsallis introduced Tsallis entropy theory, it has been applied to a wide variety of topics in physics and chemistry, with new applications being discovered annually. The amount of research suggests that the Tsallis entropy concept holds significant potential. This paper introduces weighted cumulative residual Tsallis entropy (WCRTE) and weighted cumulative past Tsallis entropy (WCPTE), as well as their dynamic counterparts for the concomitants of $ m $-generalized order statistics ($ m $-GOSs) derived from the Farlie-Gumbel-Morgenstern bivariate family. The characteristics of the proposed entropy measures were analyzed, demonstrating their ability to characterize the Pareto and exponential distributions. Applications of these findings were presented for order statistics (OSs) systems and record values with uniform, Weibull, and power marginal distributions. Furthermore, the empirical alternatives WCRTE and WCPTE were proposed for calculating new information measures. Two real-world data sets have been evaluated for illustrative purposes, demonstrating satisfactory performance.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"22 6","pages":"1572-1597"},"PeriodicalIF":2.6,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144660894","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0