Mathematical Biosciences and Engineering最新文献_第3页

Dynamic analysis of a SEAIRS model on co-evolution of human behavior changes in COVID-19 epidemic. 新冠肺炎疫情中人类行为变化协同进化的SEAIRS模型动态分析

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2026-07-02 DOI: 10.3934/mbe.2026072

Xiaoyu Li, Nan Wang, Zhiming Li

{"title":"Dynamic analysis of a SEAIRS model on co-evolution of human behavior changes in COVID-19 epidemic.","authors":"Xiaoyu Li, Nan Wang, Zhiming Li","doi":"10.3934/mbe.2026072","DOIUrl":"10.3934/mbe.2026072","url":null,"abstract":"Considering that people usually take non-drug protective measures (making behavior changes), this paper proposes a new SEAIRS model by combining behavior changes during the spread of the COVID-19 epidemic. First, we prove the positivity and boundedness of the solution of the model. Furthermore, the existence and stability of the equilibrium points are discussed in three behavior scenarios $ (B_c = 0, B_c = 1, 0 < B_c < 1, $ where $ B_c $ represents the proportion of susceptible individuals ($ S $), exposed individuals ($ E $), and asymptomatic infected individuals ($ A $) who adopt preventive behavior changes). Finally, we illustrate the model's behaviour using COVID-19 data from Romania, and summarize some valuable results: (i) the spread of diseases can be effectively controlled by reducing the contact between susceptible, exposed, and infected individuals; (ii) increasing the proportion of behavioral changes can significantly reduce the number of infected individuals. The model suggests two main theoretical measures to promote behavior changes within the framework: one is to increase the return difference between the two behaviors by adjusting relevant parameters, and the other is to increase the value of the information function.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"23 7","pages":"1971-1994"},"PeriodicalIF":2.6,"publicationDate":"2026-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148664751","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 host heterogeneity on the risk and dynamics of a West Nile virus epidemic. 模拟宿主异质性对西尼罗病毒流行风险和动态的影响。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2026-07-01 DOI: 10.3934/mbe.2026071

Paul Klockenkemper, Folashade Agusto, Wandi Ding, Gavin McGee, Rachel Leander

{"title":"Modeling the impact of host heterogeneity on the risk and dynamics of a West Nile virus epidemic.","authors":"Paul Klockenkemper, Folashade Agusto, Wandi Ding, Gavin McGee, Rachel Leander","doi":"10.3934/mbe.2026071","DOIUrl":"https://doi.org/10.3934/mbe.2026071","url":null,"abstract":"West Nile virus (WNV) is a mosquito-borne arbovirus with significant ecological and public health implications. Its transmission cycle involves avian hosts and mosquito vectors. Many factors, including host diversity and mosquito population dynamics are known to shape epidemic patterns. In this study, we extend previous work by incorporating multiple host types, horizontal transmission among hosts, and mosquito feeding preference into a WNV model. Using a system of ordinary differential equations, we analyze the impact of variable host competence, host abundance, host community structure, and mosquito biting preference on epidemic metrics. We derive an expression for the basic reproduction number in multihost systems and qualify the impact of less competent hosts on its value. Numerical simulations explore the impact of structural variations in the model on epidemic metrics and assess the potential for less competent hosts and mosquito feeding preference to dilute the epidemic. Our findings elucidate the influence of host heterogeneity, horizontal transmission in hosts, and mosquito biting preference on the severity and dynamics of a WNV epidemic.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"23 7","pages":"1926-1970"},"PeriodicalIF":2.6,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148664733","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

Alexandroff-Bakelman-Pucci estimate and first exit time in cylindrical domains. 圆柱域的Alexandroff-Bakelman-Pucci估计和首次出口时间。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2026-07-01 DOI: 10.3934/mbe.2026070

Antonio Vitolo

引用次数: 0

Survival analysis of women diagnosed with breast cancer in Angola. 安哥拉诊断为乳腺癌妇女的生存分析。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2026-06-30 DOI: 10.3934/mbe.2026068

Jaime A Jerónimo, Dulce Gomes, Patrícia A Filipe

{"title":"Survival analysis of women diagnosed with breast cancer in Angola.","authors":"Jaime A Jerónimo, Dulce Gomes, Patrícia A Filipe","doi":"10.3934/mbe.2026068","DOIUrl":"https://doi.org/10.3934/mbe.2026068","url":null,"abstract":"Breast cancer is the most common cancer among women and represents 24.5% of all cancer cases worldwide. As there are few studies on the subject in Angola, it is particularly interesting to characterize the survival of women diagnosed with breast cancer in that country. The collected data set contains all diagnosed patients followed up at the Angolan Cancer Control Institute (IACC) between 2013 and 2022. However, due to the impact of COVID-19, the data set under analysis consists of the prepandemic period (2013 to 2019). The aim is to study the population diagnosed with cancer in the country, not only descriptively but also to check which factors influence the survival time of patients from diagnosis to death from breast cancer. To this end, various methods are applied to see which best describes the time until the event under study occurs. Namely, this study examines survival analysis models, beginning with the well-known Cox proportional hazards model. It then transitions to parametric models based on exponential and Weibull distributions and finally explores generalizations of these models that offer greater flexibility. To achieve this flexibility in the survival distribution, we adopt the proportional hazards framework proposed by Younes and Lachin but applying a new approach by Royston and Parmar. The results show that the median survival time from breast cancer in the observed women was 560 days. The variables that were revealed to be significant risk factors were age, stage of the disease, and body mass index. According to Akaike's criterion, the flexible proportional hazards model with one knot proved to be the most appropriate model for these data.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"23 7","pages":"1869-1885"},"PeriodicalIF":2.6,"publicationDate":"2026-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148664785","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

Stability properties of quadrature-based approximations for integral equations with delay terms. 时滞项积分方程的二次逼近的稳定性。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2026-06-30 DOI: 10.3934/mbe.2026069

Eleonora Messina, Claudia Panico

引用次数: 0

Reinterpreting stochastic optimal control under ecological uncertainty: Inferring decision urgency from vegetation biomass dynamics. 生态不确定性下随机最优控制的再解释：从植被生物量动态推断决策紧迫性。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2026-05-27 DOI: 10.3934/mbe.2026067

Komi Mensah Agboka, Tobias Landmann, Elfatih M Abdel-Rahman

{"title":"Reinterpreting stochastic optimal control under ecological uncertainty: Inferring decision urgency from vegetation biomass dynamics.","authors":"Komi Mensah Agboka, Tobias Landmann, Elfatih M Abdel-Rahman","doi":"10.3934/mbe.2026067","DOIUrl":"https://doi.org/10.3934/mbe.2026067","url":null,"abstract":"Stochastic optimal control provides a rigorous framework for systems subject to uncertainty, yet its operational use in ecological crisis contexts remains limited by interpretability. We reinterpreted a stochastic control formulation in which selected parameters emerged as indicators of decision urgency rather than normative preferences. Vegetation biomass was modeled as a stochastic stock subject to nonlinear loss driven by feeding pressure (e.g., desert locust activity) and multiplicative noise, with uncertainty represented by a time-varying volatility term that integrated extreme rainfall anomalies and conflict-related disruption. Rather than prescribing an optimal policy, we inverted the closed-form solution of the control problem to infer the minimum urgency required to maintain the stock above a policy-defined threshold. Applied spatio-temporally, the framework revealed coherent monthly and regional patterns of inferred urgency, distinguishing stable regimes from disruption-dominated conditions and identifying periods in which short-term depletion overwhelms recovery.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"23 6","pages":"1844-1868"},"PeriodicalIF":2.6,"publicationDate":"2026-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148450284","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

Editorial: Smart Cities, Innovating in the Transformation of Urban Environments. 社论：智慧城市，城市环境转型中的创新。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2026-05-22 DOI: 10.3934/mbe.2026064

Diego Rossit, Sergio Nesmachnow, Luis Hernández Callejo, Pedro Moreno

引用次数: 0

X-factorable transformation-based control of interconnected Lotka-Volterra systems. 基于x因子变换的互联Lotka-Volterra系统控制。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2026-05-22 DOI: 10.3934/mbe.2026065

Lőrinc Márton, Katalin M Hangos

引用次数: 0

Delayed immune responses and heterogeneous exposure shape within-host viral dynamics. 延迟免疫反应和异质暴露形状在宿主病毒动力学。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2026-05-22 DOI: 10.3934/mbe.2026066

Abdelkarim Lamghari, Aissam Jebrane

{"title":"Delayed immune responses and heterogeneous exposure shape within-host viral dynamics.","authors":"Abdelkarim Lamghari, Aissam Jebrane","doi":"10.3934/mbe.2026066","DOIUrl":"https://doi.org/10.3934/mbe.2026066","url":null,"abstract":"In this paper, we present a delayed within-host viral dynamics model that integrates nonlinear immune responses and heterogeneous exposure. The model combines logistic viral replication, delayed immune-mediated clearance, and time-dependent external forcing. We introduce a 4 × 4 factorial framework that systematically couples four canonical immune response architectures (linear, Michaelis-Menten, Hill-type, and switch-like) with four representative exposure profiles (constant, periodic, event-driven, and adaptive), yielding sixteen distinct dynamical scenarios. A rigorous theoretical analysis established positivity, boundedness, equilibrium structure, and delay-induced Hopf bifurcations. Extensive numerical simulations quantified transient amplification, timing, clearance efficiency, oscillatory behavior, and long-term persistence using a comprehensive set of nine quantitative metrics. The results reveal robust dynamical hierarchies governed by immune sensitivity and exposure intermittence rather than maximal clearance capacity. In particular, ultrasensitive immune responses amplified early overshoots and cumulative burden, whereas impulsive or adaptive exposure substantially reduced persistence and accelerated post-peak decay. These findings revealed fundamental trade-offs between early transient control and long-term viral persistence in delayed immune feedback systems.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"23 6","pages":"1799-1843"},"PeriodicalIF":2.6,"publicationDate":"2026-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148450174","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

Stationary and oscillatory corrosion patterns in a modified Barkley-Leslie-Gower model. 修正Barkley-Leslie-Gower模型中的固定和振荡腐蚀模式。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2026-05-21 DOI: 10.3934/mbe.2026063

Giancarlo Consolo, Guglielmo Inferrera

{"title":"Stationary and oscillatory corrosion patterns in a modified Barkley-Leslie-Gower model.","authors":"Giancarlo Consolo, Guglielmo Inferrera","doi":"10.3934/mbe.2026063","DOIUrl":"https://doi.org/10.3934/mbe.2026063","url":null,"abstract":"In this work, we investigated the emergence of stationary and oscillatory patterns in an extended version of the Barkley model for corrosive and passivating species, specifically tailored to describe the initiation stage of localized corrosion at the bottom of fuel tanks. While the proposed model leaves the corrosive reaction unchanged relative to the original formulation, it modifies the kinetics of the passivating species by assuming a Leslie-Gower law with a Holling type Ⅱ functional response. A rigorous analysis of the dynamical system was first conducted to establish the boundedness of solutions within a positively invariant region and to identify the emergence of Hopf bifurcations. Subsequently, through local stability analysis performed on the full spatial model, the conditions for Turing bifurcations were determined. These analyses highlighted a wide parameter space where Turing and Hopf instabilities coexist, thereby demonstrating the model's capability to trigger stationary and oscillatory corrosion patterns. Numerical investigations in 1D and 2D domains, utilizing direct integration and continuation tools, revealed a large variety of pattern morphologies. Specifically, small computational domains exhibited stripes as well as square and hexagonal holes. In larger domains and across broader parameter ranges, labyrinthine, target, and non-Turing spiral-like patterns also emerged. Beyond validating theoretical predictions, these analyses revealed that patterned branches emerge supercritically in 1D and subcritically in 2D domains, providing a qualitative match with experimental observations. Overall, the proposed framework sheds light on the complex competition between material dissolution and protective film regeneration, serving as a potential support for predictive strategies in the safety management of fuel tanks.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"23 6","pages":"1743-1767"},"PeriodicalIF":2.6,"publicationDate":"2026-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148450245","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