Mathematical Biosciences and Engineering最新文献_第6页

A multi-strategy improved snake optimizer and its application to SVM parameter selection. 多策略改进蛇形优化器及其在支持向量机参数选择中的应用。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2024-10-14 DOI: 10.3934/mbe.2024322

Hong Lu, Hongxiang Zhan, Tinghua Wang

{"title":"A multi-strategy improved snake optimizer and its application to SVM parameter selection.","authors":"Hong Lu, Hongxiang Zhan, Tinghua Wang","doi":"10.3934/mbe.2024322","DOIUrl":"https://doi.org/10.3934/mbe.2024322","url":null,"abstract":"Support vector machine (SVM) is an effective classification tool and maturely used in various fields. However, its performance is very sensitive to parameters. As a newly proposed swarm intelligence algorithm, snake optimizer algorithm (SO) can help to solve the parameter selection problem. Nevertheless, SO has the shortcomings of weak population initialization, slow convergence speed in the early stage, and being easy to fall into local optimization. To address these problems, an improved snake optimizer algorithm (ISO) was proposed. The mirror opposition-based learning mechanism (MOBL) improved the population quality to enhance the optimization speed. The novel evolutionary population dynamics model (NEPD) was beneficial for searching accurately. The differential evolution strategy (DES) helped to reduce the probability of falling into local optimal value. The experimental results of classical benchmark functions and CEC2022 showed that ISO had higher optimization precision and faster convergence rate. In addition, it was also applied to the parameter selection of SVM to demonstrate the effectiveness of the proposed ISO.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"21 10","pages":"7297-7336"},"PeriodicalIF":2.6,"publicationDate":"2024-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142856435","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 sub-exponential epidemic growth dynamics through unobserved individual heterogeneity: a frailty model approach. 通过未观察到的个体异质性模拟亚指数流行病增长动力学：脆弱性模型方法。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2024-10-10 DOI: 10.3934/mbe.2024321

Ping Yan, Gerardo Chowell

{"title":"Modeling sub-exponential epidemic growth dynamics through unobserved individual heterogeneity: a frailty model approach.","authors":"Ping Yan, Gerardo Chowell","doi":"10.3934/mbe.2024321","DOIUrl":"https://doi.org/10.3934/mbe.2024321","url":null,"abstract":"Traditional compartmental models of epidemic transmission often predict an initial phase of exponential growth, assuming uniform susceptibility and interaction within the population. However, empirical outbreak data frequently show early stages of sub-exponential growth in case incidences, challenging these assumptions and indicating that traditional models may not fully encompass the complexity of epidemic dynamics. This discrepancy has been addressed through models that incorporate early behavioral changes or spatial constraints within contact networks. In this paper, we propose the concept of \"frailty\", which represents the variability in individual susceptibility and transmission, as a more accurate approach to understanding epidemic growth. This concept shifts our understanding from a purely exponential model to a more nuanced, generalized model, depending on the level of heterogeneity captured by the frailty parameter. By incorporating this type of heterogeneity, often overlooked in traditional models, we present a novel mathematical framework. This framework enhances our understanding of how individual differences affect key epidemic metrics, including reproduction numbers, epidemic size, likelihood of stochastic extinction, impact of public health interventions, and accuracy of disease forecasts. By accounting for individual heterogeneity, our approach suggests that a more complex and detailed understanding of disease spread is necessary to accurately predict and manage outbreaks.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"21 10","pages":"7278-7296"},"PeriodicalIF":2.6,"publicationDate":"2024-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142856498","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

An individual-level probabilistic model and solution for control of infectious diseases. 传染病控制的个体概率模型与解。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2024-10-09 DOI: 10.3934/mbe.2024320

Ye Xia

{"title":"An individual-level probabilistic model and solution for control of infectious diseases.","authors":"Ye Xia","doi":"10.3934/mbe.2024320","DOIUrl":"https://doi.org/10.3934/mbe.2024320","url":null,"abstract":"We present an individual-level probabilistic model to evaluate the effectiveness of two traditional control measures for infectious diseases: the isolation of symptomatic individuals and contact tracing (plus subsequent quarantine). The model allows us to calculate the reproduction number and the generation-time distribution under the two control measures. The model is related to the work of Fraser et al. on the same topic [1], which provides a population-level model using a combination of differential equations and probabilistic arguments. We show that our individual-level model has certain advantages. In particular, we are able to provide more precise results for a disease that has two classes of infected individuals - the individuals who will remain asymptomatic throughout and the individuals who will eventually become symptomatic. Using the properties of integral operators with positive kernels, we also resolve the important theoretical issue as to why the density function of the steady-state generation time is the eigenfunction associated with the largest eigenvalue of the underlying integral operator. Moreover, the same theoretical result shows why the simple algorithm of repeated integration can find numerical solutions for virtually all initial conditions. We discuss the model's implications, especially how it enhances our understanding about the impact of asymptomatic individuals. For instance, in the special case where the infectiousness of the two classes is proportional to each other, the effects of the asymptomatic individuals can be understood by supposing that all individuals will be symptomatic but with modified infectiousness and modified efficacy of the isolation measure. The numerical results show that, out of the two measures, isolation is the more decisive one, at least for the COVID-19 parameters used in the numerical experiments.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"21 10","pages":"7253-7277"},"PeriodicalIF":2.6,"publicationDate":"2024-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142856446","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

Combined impact of fear and Allee effect in predator-prey interaction models on their growth. 捕食者-猎物相互作用模型中恐惧和Allee效应对其生长的综合影响。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2024-10-08 DOI: 10.3934/mbe.2024319

Kawkab Al Amri, Qamar J A Khan, David Greenhalgh

{"title":"Combined impact of fear and Allee effect in predator-prey interaction models on their growth.","authors":"Kawkab Al Amri, Qamar J A Khan, David Greenhalgh","doi":"10.3934/mbe.2024319","DOIUrl":"https://doi.org/10.3934/mbe.2024319","url":null,"abstract":"We considered predator-prey models which incorporated both an Allee effect and a new fear factor effect together, and where the predator predated the prey with a Holling type I functional response. We started off with a two-dimensional model where we found possible equilibria and examined their stabilities. By using the predator mortality rate as the bifurcation parameter, the model exhibited Hopf-bifurcation for the coexistence equilibrium. Furthermore, our numerical illustrations demonstrated the effect of fear and the Allee effect on the population densities, and we found that the level of fear had little impact on the long-term prey population level. The population of predators, however, declined as the fear intensity rose, indicating that the fear effect might result in a decline in the predator population. The dynamics of the delayed system were examined and Hopf-bifurcation was discussed. Finally, we looked at an eco-epidemiological model that took into account the same cost of fear and the Allee effect. In this model, the prey was afflicted with a disease. The prey was either susceptible or infected. Numerical simulations were carried out to show that as the Allee threshold rose, the uninfected prey and predator decreased, while the population of infected prey increased. When the Allee threshold hit a certain value, all populations became extinct. As fear intensity increased, the population of uninfected prey decreased, and beyond a certain level of fear, habituation prevented the uninfected prey from changing. After a certain level of fear, the predator population went extinct and, as a result, the only interaction left was between uninfected and infected prey which increased disease transmission, and so the infected prey increased. Hopf-bifurcation was studied by taking the time delay as the bifurcation parameter. We estimated the delay length to preserve stability.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"21 10","pages":"7211-7252"},"PeriodicalIF":2.6,"publicationDate":"2024-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142856464","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

Effects of initial vegetation heterogeneity on competition of submersed and floating macrophytes. 初始植被异质性对沉浮大型植物竞争的影响。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2024-10-08 DOI: 10.3934/mbe.2024318

Linhao Xu, Donald L DeAngelis

{"title":"Effects of initial vegetation heterogeneity on competition of submersed and floating macrophytes.","authors":"Linhao Xu, Donald L DeAngelis","doi":"10.3934/mbe.2024318","DOIUrl":"https://doi.org/10.3934/mbe.2024318","url":null,"abstract":"Non-spatial models of competition between floating aquatic vegetation (FAV) and submersed aquatic vegetation (SAV) predict a stable state of pure SAV at low total available limiting nutrient level, N, a stable state of only FAV for high N, and alternative stable states for intermediate N, as described by an S-shaped bifurcation curve. Spatial models that include physical heterogeneity of the waterbody show that the sharp transitions between these states become smooth. We examined the effects of heterogeneous initial conditions of the vegetation types. We used a spatially explicit model to describe the competition between the vegetation types. In the model, the FAV, duckweed (L. gibba), competed with the SAV, Nuttall's waterweed (Elodea nuttallii). Differences in the initial establishment of the two macrophytes affected the possible stable equilibria. When initial biomasses of SAV and FAV differed but each had the same initial biomass in each spatial cell, the S-shaped bifurcation resulted, but the critical transitions on the N-axis are shifted, depending on FAV:SAV biomass ratio. When the initial biomasses of SAV and FAV were randomly heterogeneously distributed among cells, the vegetation pattern of the competing species self-organized spatially, such that many different stable states were possible in the intermediate N region. If N was gradually increased or decreased through time from a stable state, the abrupt transitions of non-spatial models were changed into smoother transitions through a series of stable states, which resembles the Busse balloon observed in other systems.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"21 10","pages":"7194-7210"},"PeriodicalIF":2.6,"publicationDate":"2024-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142856421","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

Multiscale modelling of hepatitis B virus at cell level of organization. 从细胞组织层面对乙型肝炎病毒进行多尺度建模。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2024-09-27 DOI: 10.3934/mbe.2024316

Huguette Laure Wamba Makeng, Ivric Valaire Yatat-Djeumen, Bothwell Maregere, Rendani Netshikweta, Jean Jules Tewa, Winston Garira

{"title":"Multiscale modelling of hepatitis B virus at cell level of organization.","authors":"Huguette Laure Wamba Makeng, Ivric Valaire Yatat-Djeumen, Bothwell Maregere, Rendani Netshikweta, Jean Jules Tewa, Winston Garira","doi":"10.3934/mbe.2024316","DOIUrl":"https://doi.org/10.3934/mbe.2024316","url":null,"abstract":"Multiscale modelling is a promising quantitative approach for studying infectious disease dynamics. This approach garners attention from both individuals who model diseases and those who plan for public health because it has great potential to contribute in expanding the understanding necessary for managing, reducing, and potentially exterminating infectious diseases. In this article, we developed a nested multiscale model of hepatitis B virus (HBV) that integrates the within-cell scale and the between-cell scale at cell level of organization of this disease system. The between-cell scale is linked to the within-cell scale by a once off inflow of initial viral infective inoculum dose from the between-cell scale to the within-cell scale through the process of infection; the within-cell scale is linked to the between-cell scale through the outflow of the virus from the within-cell scale to the between-cell scale through the process of viral shedding or excretion. The resulting multiple scales model is bidirectionally coupled in such a way that the within-cell scale and between-cell scale sub-models mutually affect each other, creating a reciprocal relationship. The computed reproductive number from the multiscale model confirms that the within-host scale and the between-host scale influence each other in a reciprocal manner. Numerical simulations are presented that also confirm the theoretical results and support the initial assumption that the within-cell scale and the between-cell scale influence each other in a reciprocal manner. This multiple scales modeling approach serves as a valuable tool for assessing the impact and success of health strategies aimed at controlling hepatitis B virus disease system.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"21 9","pages":"7165-7193"},"PeriodicalIF":2.6,"publicationDate":"2024-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142559243","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

Global sensitivity analysis and uncertainty quantification for a mathematical model of dry anaerobic digestion in plug-flow reactors. 塞流反应器干式厌氧消化数学模型的全局敏感性分析和不确定性量化。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2024-09-25 DOI: 10.3934/mbe.2024316

Daniele Bernardo Panaro, Andrea Trucchia, Vincenzo Luongo, Maria Rosaria Mattei, Luigi Frunzo

{"title":"Global sensitivity analysis and uncertainty quantification for a mathematical model of dry anaerobic digestion in plug-flow reactors.","authors":"Daniele Bernardo Panaro, Andrea Trucchia, Vincenzo Luongo, Maria Rosaria Mattei, Luigi Frunzo","doi":"10.3934/mbe.2024316","DOIUrl":"https://doi.org/10.3934/mbe.2024316","url":null,"abstract":"In many applications, complex biological phenomena can be reproduced via structured mathematical models, which depend on numerous biotic and abiotic input parameters, whose effect on model outputs can be of paramount importance. The calibration of model parameters is crucial to obtain the best fit between simulated and experimental data. Sensitivity analysis and uncertainty quantification constitute essential tools in the field of biological systems modeling. Despite the significant number of applications of sensitivity analysis in wet anaerobic digestion, there are no examples of global sensitivity analysis for mathematical models describing the dry anaerobic digestion in plug-flow reactors. For the first time, the present study explores the global sensitivity analysis and uncertainty quantification for a plug-flow reactor model. The investigated model accounts for the mass$ / $volume variation that takes place in these systems as a result of solid waste conversion in gaseous value-added compounds. A preliminary screening based on the Morris' method allowed for the definition of three different groups of parameters. A surrogate model was constructed to investigate the relation between input and output parameters without running demanding simulations from scratch. The obtained Sobol' indices allowed to perform the quantitative global sensitivity analysis. Finally, the uncertainty quantification results led to the definition of the probability density function related to the investigated quantity of interest. The study showed that the net methane production is mostly sensitive to the values of the conversion parameter related to the particulate biodegradable volatile solids in acetic acid $ k_1 $ and to the kinetic parameter describing the acetic acid uptake $ k_2 $. The application of these techniques led to helpful information for model calibration and validation.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"21 9","pages":"7139-7164"},"PeriodicalIF":2.6,"publicationDate":"2024-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142559240","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

Depression-induced changes in directed functional brain networks: A source-space resting-state EEG study. 抑郁症诱发的定向大脑功能网络变化：源空间静息态脑电图研究

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2024-09-23 DOI: 10.3934/mbe.2024315

Zhongwen Jia, Lihan Tang, Jidong Lv, Linhong Deng, Ling Zou

{"title":"Depression-induced changes in directed functional brain networks: A source-space resting-state EEG study.","authors":"Zhongwen Jia, Lihan Tang, Jidong Lv, Linhong Deng, Ling Zou","doi":"10.3934/mbe.2024315","DOIUrl":"https://doi.org/10.3934/mbe.2024315","url":null,"abstract":"Current research confirms abnormalities in resting-state electroencephalogram (EEG) power and functional connectivity (FC) patterns in specific brain regions of individuals with depression. To study changes in the flow of information between cortical regions of the brain in patients with depression, we used 64-channel EEG to record neural oscillatory activity in 68 relevant cortical regions in 22 depressed patients and 22 healthy adolescents using source-space EEG. The direction and strength of information flow between brain regions was investigated using directional phase transfer entropy (PTE). Compared to healthy controls, we observed an increased intensity of PTE information flow between the left and right hemispheres in the theta and alpha frequency bands in depressed subjects. The intensity of information flow between anterior and posterior regions within each hemisphere was reduced. Significant differences were found in the left supramarginal gyrus, right delta in the theta frequency band and bilateral lateral occipital lobe, and paracentral gyrus and parahippocampal gyrus in the alpha frequency band. The accuracy of cross-classification of directed PTE values with significant differences between groups was 91%. These findings suggest that altered information flow in the brains of depressed patients is related to the pathogenesis of depression, providing insights for patient identification and pathological studies.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"21 9","pages":"7124-7138"},"PeriodicalIF":2.6,"publicationDate":"2024-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142559237","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

Mathematical modeling of infectious diseases and the impact of vaccination strategies. 传染病数学模型和疫苗接种策略的影响。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2024-09-19 DOI: 10.3934/mbe.2024314

Diana Bolatova, Shirali Kadyrov, Ardak Kashkynbayev

{"title":"Mathematical modeling of infectious diseases and the impact of vaccination strategies.","authors":"Diana Bolatova, Shirali Kadyrov, Ardak Kashkynbayev","doi":"10.3934/mbe.2024314","DOIUrl":"https://doi.org/10.3934/mbe.2024314","url":null,"abstract":"Mathematical modeling plays a crucial role in understanding and combating infectious diseases, offering predictive insights into disease spread and the impact of vaccination strategies. This paper explored the significance of mathematical modeling in epidemic control efforts, focusing on the interplay between vaccination strategies, disease transmission rates, and population immunity. To facilitate meaningful comparisons of vaccination strategies, we maintained a consistent framework by fixing the vaccination capacity to vary from 10 to 100% of the total population. As an example, at a 50% vaccination capacity, the pulse strategy averted approximately 45.61% of deaths, while continuous and hybrid strategies averted around 45.18 and 45.69%, respectively. Sensitivity analysis further indicated that continuous vaccination has a more direct impact on reducing the basic reproduction number $ R_0 $ compared to pulse vaccination. By analyzing key parameters such as $ R_0 $, pulse vaccination coefficients, and continuous vaccination parameters, the study underscores the value of mathematical modeling in shaping public health policies and guiding decision-making during disease outbreaks.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"21 9","pages":"7103-7123"},"PeriodicalIF":2.6,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142559242","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

Retraction notice to "A novel architecture design for artificial intelligence-assisted culture conservation management system" [Mathematical Biosciences and Engineering 20(6) (2023) 9693-9711]. 人工智能辅助培养管理系统的新型架构设计"[数学生物科学与工程 20(6) (2023) 9693-9711]的撤稿通知。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2024-09-18 DOI: 10.3934/mbe.2024313

Editorial Office Of Mathematical Biosciences And Engineering

引用次数: 0