Journal of Mathematical Biology最新文献_第3页

Dynamics and suppression paradox of a stage-structured model for mosquito control. 阶段结构蚊子控制模型的动力学与抑制悖论。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2026-04-03 DOI: 10.1007/s00285-026-02387-1

Mugen Huang, Zixin Nie

引用次数: 0

Insights into Dengue fever dynamics through advanced mathematical modeling and simulation. 深入了解登革热动力学通过先进的数学建模和模拟。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2026-03-28 DOI: 10.1007/s00285-026-02367-5

Souad Bounouiga, Bilal Basti, Noureddine Benhamidouche

{"title":"Insights into Dengue fever dynamics through advanced mathematical modeling and simulation.","authors":"Souad Bounouiga, Bilal Basti, Noureddine Benhamidouche","doi":"10.1007/s00285-026-02367-5","DOIUrl":"10.1007/s00285-026-02367-5","url":null,"abstract":"This paper presents an innovative SITR(H)-SEI(M) model designed to analyze and understand the dynamics of dengue fever transmission. The model offers an accurate analysis of disease spread and is applied to recent health data from multiple countries, including Singapore, Costa Rica, Yemen, and India. We investigate the existence, uniqueness, and stability of solutions, and thoroughly examine the basic reproduction number, equilibrium points, and their stability effects. The results show that the disease-free equilibrium is stable when the basic reproduction number is below one, indicating control through preventive measures. Simulations demonstrate a direct relationship between transmission rates and the number of infected individuals, reinforcing the importance of swift action during outbreaks. Recommended preventive measures include insecticide spraying, distribution of treated nets, and implementation of effective treatment protocols. This study illustrates the value of continuously monitoring health data and updating the model parameters to maintain effectiveness and sustainability. These findings highlight the need for targeted interventions to reduce the basic reproduction number to below one, thereby controlling dengue transmission and ensuring community safety.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"92 4","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147575922","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

Global dynamics in a reaction-diffusion competition model with edge behavior. 具有边缘行为的反应-扩散竞争模型的全局动力学。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2026-03-28 DOI: 10.1007/s00285-026-02379-1

Kuiyue Liu, Shanshan Chen

引用次数: 0

Harmonic fields and the mechanical response of a cellular monolayer to ablation. 谐波场和细胞单层对消融的机械响应。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2026-03-28 DOI: 10.1007/s00285-026-02374-6

Oliver E Jensen, Christopher K Revell

{"title":"Harmonic fields and the mechanical response of a cellular monolayer to ablation.","authors":"Oliver E Jensen, Christopher K Revell","doi":"10.1007/s00285-026-02374-6","DOIUrl":"10.1007/s00285-026-02374-6","url":null,"abstract":"Multicellular tissues, such as the epithelium coating a developing embryo, often combine complex tissue shapes with heterogeneity in the spatial arrangement of individual cells. Discrete approximations, such as the cell vertex model, can accommodate these geometric features, but techniques for analysis of such models are underdeveloped. Here, we express differential operators defined on a network representing a monolayer of confluent cells in a framework inspired by discrete exterior calculus, considering scalar fields defined over cell vertices and centres and vector fields defined over cell edges. We achieve this by defining Hodge stars, wedge products and musical isomorphisms that are appropriate for a disordered monolayer for which cell edges and links between cell centres are not orthogonal, as is generic for epithelia. We use this framework to evaluate the harmonic vector field arising in an ablated planar monolayer, demonstrating an approximate 1/r scaling of the upper bound of the field's amplitude, where r is the distance from the ablation. Using a vertex model that incorporates osmotic effects, we then calculate the mechanical response of a monolayer in a jammed state to ablation. Perturbation displacements exhibit long-range coherence, monopolar and quadrupolar features, and an approximate 1/r near-hole upper-bound scaling, implicating the harmonic field. The upper bounds on perturbation stress amplitudes scale approximately like <math><mrow><mn>1</mn> <mo>/</mo> <msup><mi>r</mi> <mn>2</mn></msup> </mrow> </math> , a feature relevant to long-range mechanical signalling.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"92 4","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13033030/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147576476","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Reaction enhancement by flux-limited chemotaxis. 限制通量的趋化性增强反应。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2026-03-28 DOI: 10.1007/s00285-026-02383-5

Jing An, Alexander Kiselev, Yao Yao

引用次数: 0

Emergence of microbial host dormancy during a persistent virus epidemic. 在持续病毒流行期间微生物宿主休眠的出现。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2026-03-28 DOI: 10.1007/s00285-026-02372-8

Jochen Blath, András Tóbiás

{"title":"Emergence of microbial host dormancy during a persistent virus epidemic.","authors":"Jochen Blath, András Tóbiás","doi":"10.1007/s00285-026-02372-8","DOIUrl":"10.1007/s00285-026-02372-8","url":null,"abstract":"We study a minimal stochastic individual-based model for a microbial population challenged by a persistent (lytic) virus epidemic. We focus on the situation in which the resident microbial host population and the virus population are in stable coexistence upon arrival of a single new \"mutant\" host individual. We assume that this mutant is capable of switching to a reversible state of dormancy upon contact with virions as a means of avoiding infection by the virus. At the same time, we assume that this new dormancy trait comes with a cost, namely a reduced individual reproduction rate. We prove that there is a non-trivial range of parameters where the mutants can nevertheless invade the resident population with strictly positive probability (bounded away from 0) in the large population limit. Given the reduced reproductive rate, such an invasion would be impossible in the absence of either the dormancy trait or the virus epidemic. We explicitly characterize the parameter regime where this emergence of a host dormancy trait is possible, determine the success probability of a single invader and the typical amount of time it takes the successful mutants to reach a macroscopic population size. We conclude this study by an investigation of the fate of the population after the successful emergence of a dormancy trait. Heuristic arguments and simulations suggest that after successful invasion, either both host types and the virus will reach coexistence, or the mutants will drive the resident hosts to extinction while the virus will stay in the system.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"92 4","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13032982/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147576427","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Predator-prey system with a boundary-upstream protection zone in open advective environments. 开放平流环境中具有边界-上游保护区的捕食-食饵系统。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2026-03-28 DOI: 10.1007/s00285-026-02377-3

Daoxin Qiu, Hua Nie, Shengqiang Liu

{"title":"Predator-prey system with a boundary-upstream protection zone in open advective environments.","authors":"Daoxin Qiu, Hua Nie, Shengqiang Liu","doi":"10.1007/s00285-026-02377-3","DOIUrl":"10.1007/s00285-026-02377-3","url":null,"abstract":"In river ecosystems, unidirectional flow and habitat fragmentation threaten prey persistence, necessitating protection zones. This study explores the dynamics of a generalist predator-prey model with a boundary-upstream protection zone for prey and Holling-II type functional response in open advective environments. Firstly, we establish complete system dynamics driven by the interplay of variable advection rates, protection zone lengths and predator carrying capacity, revealing their coupled effects on population persistence and extinction. We identify a critical protection zone length, beyond which predator take-over is prevented within a prey advection range, regardless of predator strength, thereby promoting species coexistence. Furthermore, through bifurcation analysis, the existence and multiplicity for positive steady states are studied, linking prey attack-evasion ability and predator advection rate to bistable outcomes. The asymptotic behaviors of positive steady states induced by large diffusion rates are characterized, showing that enhanced dispersal counteracts flow-induced washout. This study uniquely integrates Holling-II response with upstream refuge effects, revealing critical thresholds for predator control. The findings guide designing flow-adaptive protection zones to mitigate generalist predator dominance in aquatic ecosystems, offering actionable management strategies.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"92 4","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147575912","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

Mathematical dissection of tumor phenotypic heterogeneity in a spatial data-informed nonlocal reaction-diffusion model. 肿瘤表型异质性的数学解剖在一个空间数据通知的非局部反应-扩散模型。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2026-03-22 DOI: 10.1007/s00285-026-02380-8

Fang Li, Hui Li, Ling Lin, Xiaoqiang Sun

{"title":"Mathematical dissection of tumor phenotypic heterogeneity in a spatial data-informed nonlocal reaction-diffusion model.","authors":"Fang Li, Hui Li, Ling Lin, Xiaoqiang Sun","doi":"10.1007/s00285-026-02380-8","DOIUrl":"10.1007/s00285-026-02380-8","url":null,"abstract":"Intratumor phenotypic heterogeneity plays a pivotal role in shaping the evolutionary dynamics of tumor growth and drug responses. Nonlocal reaction-diffusion equations have been developed to model the spatio-temporal dynamics of tumor cells with heterogeneous phenotypes. However, rigorous mathematical analysis of such nonlocal reaction-diffusion equations with high spatial and phenotypic dimensions remains challenging. Additionally, previous studies have seldom explored key determinants of phenotypic heterogeneity by integrating models with realistic spatial data. To address these challenges and gaps, we present a rigorous mathematical framework for dissecting phenotypic heterogeneity and evolution within vascularized tumors, utilizing a nonlocal reaction-diffusion model coupled with spatial gene expression data. First, we establish the mathematical foundation of the model by proving the well-posedness, boundedness, and nonnegativity of solutions, as well as the existence of stationary positive solutions. Subsequently, we develop a stable and convergent alternating direction explicit-implicit scheme to numerically solve the nonlocal partial differential equations. Furthermore, we investigate the impact of key parameters on the evolution of tumor phenotypic heterogeneity, revealing that the epimutation rate governs the concentrated distribution of tumor cell phenotypes. Additionally, we leverage spatially resolved transcriptomics data to quantify tumor cell spatial density, phenotypic states, and vessel distribution within the model. Our integrative analysis uncovers significant associations between spatial transcriptomics features and the long-term progression of intratumor heterogeneity. This study provides a rigorous mathematical analysis of intratumor phenotypic heterogeneity evolution using a nonlocal reaction-diffusion model and identifies pivotal determinants of phenotypic heterogeneity through the integration of novel spatial data.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"92 4","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147500540","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

Rate-induced tipping in a lake eutrophication model coupled with human activities. 与人类活动耦合的湖泊富营养化模型的速率诱导倾卸。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2026-03-17 DOI: 10.1007/s00285-026-02381-7

Anji Yang, Hao Wang, Sanling Yuan

{"title":"Rate-induced tipping in a lake eutrophication model coupled with human activities.","authors":"Anji Yang, Hao Wang, Sanling Yuan","doi":"10.1007/s00285-026-02381-7","DOIUrl":"10.1007/s00285-026-02381-7","url":null,"abstract":"Human activities can influence the state of ecosystems, and the consequent variation in ecosystem services in turn affects people's perceptions and behaviors, thus forming a feedback loop. In this paper, a novel coupled human-environment model is proposed and analyzed. The model employs a replicator dynamics equation to describe the human behavioral decision-making process and couples it to an ecological subsystem representing lake eutrophication. Analysis of the model shows that it has richer dynamical behaviors, including multistability and sustained periodic oscillations. Interestingly, for the scenario when the model possesses tristability, we find that increasing the cost of conservation too quickly can trigger rate-induced tipping, causing the system to switch between oligotrophic (or eutrophic) and intermediate steady states. Furthermore, there is a threshold for the rate of change in the cost of conservation below which the probability of tipping from an oligotrophic state to an intermediate nutrient state is always greater than that of switching from an intermediate nutrient state to a eutrophic state. Above this threshold, however, the probability of tipping from the intermediate state to the eutrophic state prevails. Our results suggest that limiting only the magnitude of lake conservation costs is not sufficient to control lake deterioration and that the rate of increase in conservation costs should also be considered.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"92 4","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147476100","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

Order-Dependent dissimilarity measures on phylogenetic trees. 系统发育树的序相关不相似性测度。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2026-03-17 DOI: 10.1007/s00285-026-02373-7

Simone Linz, Katherine St John, Charles Semple, Kristina Wicke

{"title":"Order-Dependent dissimilarity measures on phylogenetic trees.","authors":"Simone Linz, Katherine St John, Charles Semple, Kristina Wicke","doi":"10.1007/s00285-026-02373-7","DOIUrl":"10.1007/s00285-026-02373-7","url":null,"abstract":"Ordered leaf attachment, Phylo2Vec, and HOP are three recently introduced vector representations for rooted phylogenetic trees where the representation is determined by an ordering of the underlying leaf set X. Comparing the vectors of two rooted phylogenetic X-trees T and <math><msup><mi>T</mi> <mo>'</mo></msup> </math> for a fixed ordering on X leads to polynomial-time computable measure for the dissimilarity of T and <math><msup><mi>T</mi> <mo>'</mo></msup> </math> , albeit dependent on the choice of the leaf ordering. For each of ordered leaf attachment, Phylo2Vec, and HOP, we compare this measure with the rooted subtree prune and regraft distance (rSPR), the hybrid number, and the temporal tree-child hybrid number of T and <math><msup><mi>T</mi> <mo>'</mo></msup> </math> . Although there is no direct relationship between rSPR and any of the three vector-based measures, we show that, when minimized over all orderings, the hybrid number is equal to HOP and is an upper bound on the other two. Moreover, when minimized over all orderings induced by common cherry-picking sequences of T and <math><msup><mi>T</mi> <mo>'</mo></msup> </math> , the temporal tree-child hybrid number of T and <math><msup><mi>T</mi> <mo>'</mo></msup> </math> is equal to each of the three vector-based measures.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"92 4","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147476148","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