Journal of Mathematical Biology最新文献_第8页

Lattice-based stochastic models motivate non-linear diffusion descriptions of memory-based dispersal. 基于格子的随机模型激发基于记忆的扩散的非线性扩散描述。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2025-04-24 DOI: 10.1007/s00285-025-02211-2

Yifei Li, Matthew J Simpson, Chuncheng Wang

{"title":"Lattice-based stochastic models motivate non-linear diffusion descriptions of memory-based dispersal.","authors":"Yifei Li, Matthew J Simpson, Chuncheng Wang","doi":"10.1007/s00285-025-02211-2","DOIUrl":"10.1007/s00285-025-02211-2","url":null,"abstract":"The role of memory and cognition in the movement of individuals (e.g. animals) within a population, is thought to play an important role in population dispersal. In response, there has been increasing interest in incorporating spatial memory effects into classical partial differential equation (PDE) models of animal dispersal. However, the specific detail of the transport terms, such as diffusion and advection terms, that ought to be incorporated into PDE models to accurately reflect the memory effect remains unclear. To bridge this gap, we propose a straightforward lattice-based model where the movement of individuals depends on both crowding effects and the historic distribution within the simulation. The advantage of working with the individual-based model is that it is straightforward to propose and implement memory effects within the simulation in a way that is more biologically intuitive than simply proposing heuristic extensions of classical PDE models. Through deriving the continuum limit description of our stochastic model, we obtain a novel nonlinear diffusion equation which encompasses memory-based diffusion terms. For the first time we reveal the relationship between memory-based diffusion and the individual-based movement mechanisms that depend upon memory effects. Through repeated stochastic simulation and numerical explorations of the mean-field PDE model, we show that the new PDE model accurately describes the expected behaviour of the stochastic model, and we also explore how memory effects impact population dispersal.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"90 5","pages":"52"},"PeriodicalIF":2.2,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144041160","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 spread of two successive SIR epidemics on a configuration model network. 在配置模型网络上对连续两次SIR流行病的传播进行建模。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2025-04-23 DOI: 10.1007/s00285-025-02207-y

Frank Ball, Abid Ali Lashari, David Sirl, Pieter Trapman

{"title":"Modelling the spread of two successive SIR epidemics on a configuration model network.","authors":"Frank Ball, Abid Ali Lashari, David Sirl, Pieter Trapman","doi":"10.1007/s00285-025-02207-y","DOIUrl":"10.1007/s00285-025-02207-y","url":null,"abstract":"We present a stochastic model for two successive SIR (Susceptible <math><mo>→</mo></math> Infectious <math><mo>→</mo></math> Recovered) epidemics in the same network structured population. Individuals infected during the first epidemic might have (partial) immunity for the second one. The first epidemic is analysed through a bond percolation model, while the second epidemic is approximated by a three-type branching process in which the types of individuals depend on their position in the percolation clusters used for the first epidemic. This branching process approximation enables us to calculate, in the large population limit and conditional upon a large outbreak in the first epidemic, a threshold parameter and the probability of a large outbreak for the second epidemic. A second branching process approximation enables us to calculate the fraction of the population that are infected by such a second large outbreak. We illustrate our results through some specific cases which have appeared previously in the literature and show that our asymptotic results give good approximations for finite populations.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"90 5","pages":"51"},"PeriodicalIF":2.2,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12018529/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144056188","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

The role of random perturbations in the dynamic variability of a discrete predator-prey model: a stochastic sensitivity analysis. 随机扰动在离散捕食者-猎物模型动态变异性中的作用：随机灵敏度分析。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2025-04-21 DOI: 10.1007/s00285-025-02213-0

Irina Bashkirtseva, Lev Ryashko

引用次数: 0

Extinction and persistence of a stochastic tumor-normal-immune model with periodically pulsed chemotherapy treatment. 周期性脉冲化疗的随机肿瘤-正常-免疫模型的消失和持续。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2025-04-18 DOI: 10.1007/s00285-025-02215-y

Nabyl Bajja, Driss Seghir

引用次数: 0

Spatial dynamics of a pest population with stage-structure and control. 害虫种群的空间动态、阶段结构和控制。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2025-04-17 DOI: 10.1007/s00285-025-02208-x

Stephen Becklin, Yu Jin, Richard Rebarber, Brigitte Tenhumberg

引用次数: 0

Efficient proton transport modelling for proton beam therapy and biological quantification. 质子束治疗和生物定量的有效质子输运模型。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2025-04-11 DOI: 10.1007/s00285-025-02212-1

Ben S Ashby, Veronika Chronholm, Daniel K Hajnal, Alex Lukyanov, Katherine MacKenzie, Aaron Pim, Tristan Pryer

引用次数: 0

Complex dynamics in plant-pollinator-parasite interactions: facultative versus obligate behaviors and novel bifurcations. 植物-传粉者-寄生虫相互作用的复杂动力学：兼性与专性行为和新的分支。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2025-04-09 DOI: 10.1007/s00285-025-02210-3

Tao Feng, Hao Wang

{"title":"Complex dynamics in plant-pollinator-parasite interactions: facultative versus obligate behaviors and novel bifurcations.","authors":"Tao Feng, Hao Wang","doi":"10.1007/s00285-025-02210-3","DOIUrl":"10.1007/s00285-025-02210-3","url":null,"abstract":"Understanding the dynamics of plant-pollinator interactions is crucial for maintaining ecosystem stability and biodiversity. In this paper, we formulate a novel tripartite plant-pollinator-parasite model that incorporates the influence of parasites on mutualistic relationships. Our model consists of the plant-pollinator subsystem, which exhibits equilibrium dynamics with up to four bistable states; the pollinator-parasite subsystem, where stability is significantly affected by pollinator density and growth rate; and the complete system combining all three species. We perform comprehensive mathematical and bifurcation analyses on both the subsystems and the full system. We have many interesting findings, including that (1) plant-pollinator-parasite interactions are dependent on the properties of plants and pollinators (i.e., facultative or obligate interactions). For example, systems with facultative pollinators are more likely to exhibit multistability and periodic oscillations, thereby enhancing resilience, whereas scenarios with obligate pollinators are more likely to lead to system collapse. (2) Critical parameters such as parasite mortality and conversion rates can drive complex behaviors, including supercritical and subcritical Hopf bifurcations, saddle-node bifurcations, chaos, and heteroclinic orbits. Notably, we introduce three new concepts-the left bow, right bow, and wave bow phenomena-to characterize variations in oscillation amplitude resulting from parameter bifurcations. These important results provide theoretical guidance for ecological management strategies aimed at enhancing ecosystem resilience and stability by considering the complex interactions among plants, pollinators, and parasites.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"90 5","pages":"46"},"PeriodicalIF":2.2,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144059663","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

Single-cell 3D genome reconstruction in the haploid setting using rigidity theory. 利用刚性理论重建单倍体环境中的单细胞三维基因组

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2025-03-29 DOI: 10.1007/s00285-025-02203-2

Sean Dewar, Georg Grasegger, Kaie Kubjas, Fatemeh Mohammadi, Anthony Nixon

引用次数: 0

Mathematical modelling and analysis of the adaptive dynamics in mosquito populations: uniform persistence of malaria infection. 蚊子种群适应动态的数学建模和分析：疟疾感染的均匀持久性。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2025-03-26 DOI: 10.1007/s00285-025-02206-z

Bassirou Diop, Arnaud Ducrot, Ousmane Seydi

引用次数: 0

Sackin indices for labeled and unlabeled classes of galled trees. 有标记和无标记的瘿树类的 Sackin 指数。