Mathematical Biosciences最新文献

An ant territory formation model with chemotaxis and alarm pheromones 具有趋化性和报警信息素的蚂蚁领地形成模型

IF 1.8 4区数学

Mathematical Biosciences Pub Date : 2025-07-30 DOI: 10.1016/j.mbs.2025.109498

Paulo Amorim , Rodrigo de Lima , Bruno Telch

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引用次数: 0

Flow-driven dynamics in a mussel-algae system with nonlinear boundary interactions 具有非线性边界相互作用的贻贝-藻类系统的流动驱动动力学

IF 1.8 4区数学

Mathematical Biosciences Pub Date : 2025-07-26 DOI: 10.1016/j.mbs.2025.109507

Chaochao Li , Hao Wang , Shangjiang Guo

引用次数: 0

A stochastic model of prion dynamics with conversion and fragmentation 具有转换和碎裂的朊病毒动力学随机模型

IF 1.9 4区数学

Mathematical Biosciences Pub Date : 2025-07-24 DOI: 10.1016/j.mbs.2025.109505

Arpan Ghosh , Peter Olofsson , Suzanne S. Sindi

引用次数: 0

Optimal control of eggplant pest populations in a Predator–Prey–Parasitoid model with seasonal growth effects 具有季节生长效应的捕食者-被食性-寄生性模型对茄子害虫种群的最优控制

IF 1.9 4区数学

Mathematical Biosciences Pub Date : 2025-07-22 DOI: 10.1016/j.mbs.2025.109506

Mona Zevika, S. Khoirul Himmi

{"title":"Optimal control of eggplant pest populations in a Predator–Prey–Parasitoid model with seasonal growth effects","authors":"Mona Zevika, S. Khoirul Himmi","doi":"10.1016/j.mbs.2025.109506","DOIUrl":"10.1016/j.mbs.2025.109506","url":null,"abstract":"<div><div>This study investigates the population dynamics of the eggplant fruit and shoot borer (EFSB), emphasizing the role of natural enemies — predators and parasitoids — in pest management. A mathematical model, comprising three variables representing each population, is constructed to analyze the interactions. The model exhibits six equilibrium points, with particular focus on the predator-free and coexistence equilibria. Crucially, the model incorporates the seasonal variability of the pest’s growth rate, reflecting the influence of environmental factors such as temperature changes. Optimal control strategies are explored, encompassing both chemical and biological approaches, including the use of parasitoids. For chemical control, Pontryagin’s Minimum Principle is employed to derive optimal strategies under varying seasonal growth conditions. The biological control strategy, centered on parasitoid release, is analyzed using State-Dependent Riccati Equations (SDRE) to determine optimal continuous and impulsive release methods. The findings highlight the importance of considering seasonal variations in pest growth and demonstrate the efficacy of impulsive parasitoid releases for pest management. This research provides valuable insights into sustainable pest management and offers a robust framework for applying mathematical modeling to complex agricultural systems.</div></div>","PeriodicalId":51119,"journal":{"name":"Mathematical Biosciences","volume":"387 ","pages":"Article 109506"},"PeriodicalIF":1.9,"publicationDate":"2025-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144694702","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

Persistence index for harvested populations 收获种群的持久性指数。

IF 1.8 4区数学

Mathematical Biosciences Pub Date : 2025-07-18 DOI: 10.1016/j.mbs.2025.109497

Jerzy A. Filar , Matthew H. Holden , Manuela Mendiolar , Sabrina H. Streipert

引用次数: 0

Pattern dynamics analysis and parameter identification of spatiotemporal infectious disease models on complex networks 复杂网络时空传染病模型的模式动力学分析与参数辨识

IF 1.9 4区数学

Mathematical Biosciences Pub Date : 2025-07-16 DOI: 10.1016/j.mbs.2025.109502

Tao Yang , Linhe Zhu , Shuling Shen , Le He

{"title":"Pattern dynamics analysis and parameter identification of spatiotemporal infectious disease models on complex networks","authors":"Tao Yang , Linhe Zhu , Shuling Shen , Le He","doi":"10.1016/j.mbs.2025.109502","DOIUrl":"10.1016/j.mbs.2025.109502","url":null,"abstract":"<div><div>This paper primarily explores the dynamics of reaction–diffusion systems with advection effects on discrete networks and establishes a corresponding infectious disease transmission model incorporating delay effects. Initially, we consider the conditions for the existence of the equilibrium point and linearly approximate the time delay near this equilibrium point. Then we discuss the necessary conditions for Turing instability under various constraints based on the approximate system. We also introduce two types of lower-order network structures. In one of these lower-order networks, we discuss the directional movement of two different populations. To further analyze the dynamic behavior on different networks, we construct a special higher-order network based on another lower-order network. In addition, we use optimal control to solve the problem of parameter identification. We conduct extensive numerical simulations to study the impact of advection effects and higher-order networks on system dynamics, pattern parameter identification under unknown conditions, and model fitting and prediction based on actual data, which validate the model’s effectiveness and practical utility.</div></div>","PeriodicalId":51119,"journal":{"name":"Mathematical Biosciences","volume":"387 ","pages":"Article 109502"},"PeriodicalIF":1.9,"publicationDate":"2025-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144653250","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

On the design and stability of cancer adaptive therapy cycles: Deterministic and stochastic models 癌症适应性治疗周期的设计和稳定性：确定性和随机模型

IF 1.9 4区数学

Mathematical Biosciences Pub Date : 2025-07-15 DOI: 10.1016/j.mbs.2025.109504

Yuri G. Vilela , Artur C. Fassoni , Armando G.M. Neves

{"title":"On the design and stability of cancer adaptive therapy cycles: Deterministic and stochastic models","authors":"Yuri G. Vilela , Artur C. Fassoni , Armando G.M. Neves","doi":"10.1016/j.mbs.2025.109504","DOIUrl":"10.1016/j.mbs.2025.109504","url":null,"abstract":"<div><div>Adaptive therapy is a promising paradigm for cancer treatment exploiting competition between drug-sensitive and drug-resistant cells to delay evolution of drug resistance. Previous studies demonstrated that cyclic drug administration can restore tumor composition to its initial value in deterministic models. However, conditions and methods for designing such cycles deserve better investigation. We present biologically motivated conditions to construct such cycles in two well-known deterministic frameworks, Lotka–Volterra and adjusted replicator dynamics, and provide algorithms for building cycles using two drugs and a period with no drugs. Moreover, we analyze stability of these cycles, an essential consideration for their clinical applicability. We conjecture that a cycle is stable whenever the <em>averaged treatment</em> is stable, conversely it is unstable when the averaged treatment is also unstable. We further investigate stochastic counterparts of both models to account for the finite cell population and randomness inherent to real tumors. Our results reveal that the breakdown of cyclic behavior in stochastic settings, see Dua et al. (2021) and Park and Newton (2023), is not caused by stochasticity per se, but by instability of the corresponding deterministic cycles used as examples. In contrast, we demonstrate that stable deterministic cycles give rise to stable cyclic behavior despite stochastic fluctuations, highlighting the importance of stability in adaptive therapy. We illustrate how stable deterministic cycles avoid for large times the breakdown of cyclic treatments in stochastic models. These findings establish a coherent framework linking deterministic cycle stability to stochastic robustness, offering theoretical support for the design of clinically resilient adaptive cancer therapies.</div></div>","PeriodicalId":51119,"journal":{"name":"Mathematical Biosciences","volume":"387 ","pages":"Article 109504"},"PeriodicalIF":1.9,"publicationDate":"2025-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144653249","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 the impact of organic molecules and phosphate ions on biosilica pattern formation in diatoms 模拟有机分子和磷酸盐离子对硅藻中生物二氧化硅图案形成的影响。

IF 1.9 4区数学

Mathematical Biosciences Pub Date : 2025-07-11 DOI: 10.1016/j.mbs.2025.109484

Svetlana Petrenko, Karen M. Page

{"title":"Modelling the impact of organic molecules and phosphate ions on biosilica pattern formation in diatoms","authors":"Svetlana Petrenko, Karen M. Page","doi":"10.1016/j.mbs.2025.109484","DOIUrl":"10.1016/j.mbs.2025.109484","url":null,"abstract":"<div><div>The rapid and complex patterning of biosilica in diatom frustules is of great interest in nanotechnology, although it remains incompletely understood. Specific organic molecules, including long-chain polyamines, silaffins and silacidins, are essential in this process. The molecular structure of synthesized polyamines significantly affects the quantity, size and shape of silica precipitates. Experimental findings show that silica precipitation occurs at specific phosphate ion concentrations. We focus on the hypothesis that pattern formation in diatom valve structures is driven by the phase separation of species-specific organic molecules. The resulting organic structures serve as templates for silica precipitation. We investigate the role of phosphate ions in the self-assembly of these organic molecules and analyse how the reaction between them affects the morphology of the organic template. Using mathematical and computational techniques, we gain an understanding of the range of patterns that can arise in a phase-separating system. By varying the rate of dissociation and the initial concentrations of the reacting components we demonstrate that the resulting geometric features are highly dependent on these factors. This approach provides insights into the parameters controlling patterning. Additionally, we consider the effects of prepatterns, mimicking silica ribs that preexist the pores, on the final patterns.</div></div>","PeriodicalId":51119,"journal":{"name":"Mathematical Biosciences","volume":"387 ","pages":"Article 109484"},"PeriodicalIF":1.9,"publicationDate":"2025-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144628368","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

Advection-dominated models of atherosclerotic plaque composition: The impacts of cell death and cholesterol toxicity 动脉粥样硬化斑块组成的平流主导模型：细胞死亡和胆固醇毒性的影响。

IF 1.9 4区数学

Mathematical Biosciences Pub Date : 2025-07-11 DOI: 10.1016/j.mbs.2025.109496

Ishraq U. Ahmed , Helen M. Byrne , Mary R. Myerscough

{"title":"Advection-dominated models of atherosclerotic plaque composition: The impacts of cell death and cholesterol toxicity","authors":"Ishraq U. Ahmed , Helen M. Byrne , Mary R. Myerscough","doi":"10.1016/j.mbs.2025.109496","DOIUrl":"10.1016/j.mbs.2025.109496","url":null,"abstract":"<div><div>Advanced atherosclerotic plaques are characterised by a large necrotic core containing highly inflammatory lipids and debris from dead cells. In large plaques, newly recruited macrophages fail to penetrate this core, and instead push existing material deeper inside the plaque. In this paper, we consider two multiphase models for early atherosclerotic plaque growth, and we analyse their behaviour in the limiting regime where bulk advection drives mass transport of cells and lipids. In this regime, the dynamics of the deep plaque can be approximated by a system of advection–reaction equations. By applying the method of characteristics to these equations, we derive a set of ODEs that describes the evolution of individual segments of plaque tissue. We apply this approximation to a simple 1D three-phase model comprising macrophage foam cells, dead cells, and modified LDL, and we investigate how plaque tissue composition depends on the relative rates of cell death and efferocytosis (cell recycling). We also consider a six-phase model in which death rates depend on intracellular cholesterol content. We use this model to study the effects of cholesterol-induced toxicity, and the beneficial effects of high density lipoproteins (HDL), which can remove excess cholesterol from macrophages. We show that for both multiphase models, the advection–reaction approximations capture key structural features of the full model solutions, including the relative proportions of live and dead cells, and persistent spatial heterogeneities that arise from time-varying boundary influxes of LDL and HDL.</div></div>","PeriodicalId":51119,"journal":{"name":"Mathematical Biosciences","volume":"387 ","pages":"Article 109496"},"PeriodicalIF":1.9,"publicationDate":"2025-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144628367","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

Spatial pattern regulation strategy of bimolecular model with anomalous diffusion and nonlocal effects 具有异常扩散和非局部效应的双分子模型的空间格局调控策略

IF 1.9 4区数学

Mathematical Biosciences Pub Date : 2025-07-08 DOI: 10.1016/j.mbs.2025.109482

Yifeng Luan , Min Xiao , Jinling Liang , Zhen Wang , Yi Yao , Jinde Cao , Sergy Gorbachev

引用次数: 0