Mathematical Modelling of Natural Phenomena最新文献_第4页

An Overview of Differential Models for Corrosion of Cultural Heritage Artefacts 文物腐蚀的微分模型综述

4区数学

Mathematical Modelling of Natural Phenomena Pub Date : 2023-01-01 DOI: 10.1051/mmnp/2023031

Francesco Colace, Dajana Conte, Gianluca Frasca-Caccia, Carmine Valentino

引用次数: 0

On the dynamics of rotating rigid tube and its interaction with air 旋转刚性管的动力学及其与空气的相互作用

4区数学

Mathematical Modelling of Natural Phenomena Pub Date : 2023-01-01 DOI: 10.1051/mmnp/2023035

Yifan Liu

引用次数: 0

Complex Kraenkel-Manna-Merle system in a ferrite: N-fold Darboux transformation, generalized Darboux transformation and solitons 铁氧体中的复Kraenkel-Manna-Merle系统:n倍达布变换，广义达布变换和孤子

4区数学

Mathematical Modelling of Natural Phenomena Pub Date : 2023-01-01 DOI: 10.1051/mmnp/2023029

Yuan Shen, Bo Tian, Tian-Yu Zhou, Chong-Dong Cheng

引用次数: 0

Epicenter of Random Epidemic Spanning Trees on Finite Graphs 有限图上随机流行病生成树的震中

IF 2.2 4区数学

Mathematical Modelling of Natural Phenomena Pub Date : 2022-12-07 DOI: 10.1051/mmnp/2022048

G. Iacobelli, Daniel Ratton Figueiredo

{"title":"Epicenter of Random Epidemic Spanning Trees on Finite Graphs","authors":"G. Iacobelli, Daniel Ratton Figueiredo","doi":"10.1051/mmnp/2022048","DOIUrl":"https://doi.org/10.1051/mmnp/2022048","url":null,"abstract":"Epidemic source detection is the problem of identifying the network node that originated an epidemic from a partial observation of the epidemic process. The problem finds applications in different contexts, such as detecting the origin of rumors in online social media, and has been studied under various assumptions. Different from prior studies, this work considers an epidemic process on a finite graph that starts on a random node (epidemic source) and terminates when all nodes are infected, yielding a rooted and directed epidemic tree that encodes node infections. Assuming knowledge of the underlying graph and the undirected spanning tree, can the epidemic source be accurately identified? This work tackles this problem by introducing the epicenter , an efficient estimator for the epidemic source. When the underlying graph is vertex-transitive the epicenter can be computed in linear time and it coincides with the well-known distance center of the epidemic tree. Moreover, on a complete graph the epicenter is also the most likely estimator for the source. Finally, the accuracy of the epicenter is evaluated numerically on five different graph models and the performance strongly depends on the graph structure, varying from 31% (complete graphs) to 13% (sparse power law graphs).","PeriodicalId":18285,"journal":{"name":"Mathematical Modelling of Natural Phenomena","volume":" ","pages":""},"PeriodicalIF":2.2,"publicationDate":"2022-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42602477","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 Modeling of Leukemia Chemotherapy in Bone Marrow 骨髓白血病化疗的数学模型

IF 2.2 4区数学

Mathematical Modelling of Natural Phenomena Pub Date : 2022-11-24 DOI: 10.1051/mmnp/2023022

Ana Nino-L'opez, Salvador Chuli'an, 'Alvaro Mart'inez-Rubio, Cristina Bl'azquez-Goni, Mar'ia Rosa

引用次数: 0

Models of recrystallization activated by a diffusion flow of impurities from a thin-film coating with a convection term at the crystal surface: exact solutions 在晶体表面有对流项的薄膜涂层中杂质的扩散流激活的再结晶模型:精确解

IF 2.2 4区数学

Mathematical Modelling of Natural Phenomena Pub Date : 2022-11-08 DOI: 10.1051/mmnp/2022046

S. Savotchenko, A. Cherniakov

{"title":"Models of recrystallization activated by a diffusion flow of impurities from a thin-film coating with a convection term at the crystal surface: exact solutions","authors":"S. Savotchenko, A. Cherniakov","doi":"10.1051/mmnp/2022046","DOIUrl":"https://doi.org/10.1051/mmnp/2022046","url":null,"abstract":"Two models of recrystallization are proposed taking into account the convective flux of impurity exchange between the polycrystalline and the thin-film coating. The special boundary modes of recrystallization described by the single-phase and two-phase Stefan problems with the boundary condition at coated surface containing the convective term. The exact solutions of the formulated problems corresponding to the grain-boundary concentration of impurities are obtained. The detail theoretical analysis focused on the third type problem shows that the concentration of impurities and the width of the recrystallized layer increase with an increase in the annealing time. An increase in intensity of impurity exchange between the polycrystalline and the coating promotes an increase in the width of the recrystallized layer. The recrystallization front position increases with an increase in the surface concentration of impurities and it decreases with an increase in the intensity of the impurity flux from the surface. The rate of recrystallization kinetics increases with an increase in the intensity of impurity exchange between the polycrystalline and the coating","PeriodicalId":18285,"journal":{"name":"Mathematical Modelling of Natural Phenomena","volume":" ","pages":""},"PeriodicalIF":2.2,"publicationDate":"2022-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44954613","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

Interaction of high-order breather, periodic wave, lump, rational soliton solutions and mixed solutions for reductions of the (4+1)-dimensional Fokas equation (4+1)维Fokas方程约简的高阶呼吸、周期波、块状、有理孤子解和混合解的相互作用

IF 2.2 4区数学

Mathematical Modelling of Natural Phenomena Pub Date : 2022-11-08 DOI: 10.1051/mmnp/2022047

P. Xia, Yi Zhang, Rusuo Ye

{"title":"Interaction of high-order breather, periodic wave, lump, rational soliton solutions and mixed solutions for reductions of the (4+1)-dimensional Fokas equation","authors":"P. Xia, Yi Zhang, Rusuo Ye","doi":"10.1051/mmnp/2022047","DOIUrl":"https://doi.org/10.1051/mmnp/2022047","url":null,"abstract":"The interaction of high-order breather, periodic-wave, lump, rational soliton solutions and mixed solutions for reductions of the (4+1)-dimensional Fokas equation are investigated by means of the Kadomtsev-Petviashvili (KP) hierarchy reduction method. Through analyzing the structural characteristics of periodic wave solutions, we find that evolution of the breather is decided by two characteristic lines. Interestingly, growingdecaying amplitude periodic wave and amplitude-invariant periodic wave are given through some conditions posed on the parameters. Some fascinating nonlinear wave patterns composed of high-order breathers and high-order periodic waves are shown. Furthermore, taking the long wave limit on the periodic-wave solutions, the semi-rational solutions composed of lumps, moving solitons, breathers, and periodic waves are obtained. Some novel dynamical processes are graphically analyzed. Additionally, we provide a new method to derive periodic-wave and semi-rational solutions for the (3+1)-dimensional KP equation by reducing the solutions of the (4+1)-dimensional Fokas equation. The presented results might help to understand the dynamic behaviors of nonlinear waves in the fluid fields and may provide some new perspectives for studying nonlinear wave solutions of high dimensional integrable systems.","PeriodicalId":18285,"journal":{"name":"Mathematical Modelling of Natural Phenomena","volume":" ","pages":""},"PeriodicalIF":2.2,"publicationDate":"2022-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46866717","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

Hamiltonian form of an extended nonlinear Schrödinger equation for modelling the wave field in a system with quadratic and cubic nonlinearities 用于二次和三次非线性系统波场建模的扩展非线性薛定谔方程的哈密顿形式

IF 2.2 4区数学

Mathematical Modelling of Natural Phenomena Pub Date : 2022-10-21 DOI: 10.1051/mmnp/2022044

Y. Sedletsky, I. Gandzha

引用次数: 2

Scientific breakdown of a ferromagnetic nanofluid in hemodynamics: Enhanced therapeutic approach 铁磁性纳米流体在血流动力学中的科学分解：增强的治疗方法

IF 2.2 4区数学

Mathematical Modelling of Natural Phenomena Pub Date : 2022-10-20 DOI: 10.1051/mmnp/2022045

M. M. Bhatti, S. Abdelsalam

{"title":"Scientific breakdown of a ferromagnetic nanofluid in hemodynamics: Enhanced therapeutic approach","authors":"M. M. Bhatti, S. Abdelsalam","doi":"10.1051/mmnp/2022045","DOIUrl":"https://doi.org/10.1051/mmnp/2022045","url":null,"abstract":"In this article, we examine the mechanism of cobalt and tantalum nanoparticles through a hybrid fluid model. The nanofluid is propagating through an anisotropically tapered artery with three different configurations: converging, diverging and non-tapered. To examine the rheology of the blood we have incorporated a Williamson fluid model which reveals both Newtonian and non-Newtonian effects. Mathematical and physical formulations are derived using the lubrication approach for continuity, momentum and energy equations. The impact of magnetic field, porosity and viscous dissipation are also taken into the proposed formulation. A perturbation approach is used to determine the solutions of the formulated nonlinear coupled equations. The physical behavior of all the leading parameters is discussed for velocity, temperature, impedance and streamlines profile. The current analysis has the intention to be used in therapeutic treatments of anemia because cobalt promotes the production of red blood cells since it is a component of vitamin B12, this is in addition to having tantalum that is used in the bone implants and in the iodinated agents for blood imaging due to its long circulation time.","PeriodicalId":18285,"journal":{"name":"Mathematical Modelling of Natural Phenomena","volume":" ","pages":""},"PeriodicalIF":2.2,"publicationDate":"2022-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48634895","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: 45

Predators as a possible strategy for controlling a {it Xylella} epidemic? 捕食者作为控制木杆菌流行的可能策略?

IF 2.2 4区数学

Mathematical Modelling of Natural Phenomena Pub Date : 2022-09-20 DOI: 10.1051/mmnp/2022043

V. Capasso, S. Anita, Simone Scacchi, M. Montagna

{"title":"Predators as a possible strategy for controlling a {it Xylella} epidemic?","authors":"V. Capasso, S. Anita, Simone Scacchi, M. Montagna","doi":"10.1051/mmnp/2022043","DOIUrl":"https://doi.org/10.1051/mmnp/2022043","url":null,"abstract":"In Southern Italy, since 2013, there has been an ongoing Olive\u0000\u0000Quick Decline Syndrome (OQDS) outbreak, due to the bacterium {it\u0000\u0000Xylella fastidiosa},\u0000\u0000 which has caused a dramatic impact from both socio-economic and environmental points of view.\u0000\u0000\u0000\u0000 Current agronomic practices are mainly based on uprooting the sick olive trees and their surrounding ones,\u0000\u0000 with later installment of olive cultivars more resistant to the bacterium infection.\u0000\u0000 Unfortunately, both of these practices are having an undesirable impact on the environment and on the economy.\u0000Here, a spatially structured\u0000\u0000mathematical model has been proposed to include a predator {it Zelus renardii } as a possible biocontrol agent of the {it\u0000\u0000Xylella} epidemic. The fact that {it Z. renardii} has been\u0000\u0000reported to be a generalist predator implies that\u0000\u0000its introduction is not an efficient control strategy to eradicate a\u0000\u0000{it Xylella} epidemic. Instead, a specialist predator, whenever\u0000\u0000identified, would lead to the eventual eradication of a {it\u0000\u0000Xylella} epidemic. In either cases it has been confirmed that a significant\u0000\u0000reduction of the weed biomass can lead to the eradication of\u0000\u0000the vector population, hence of a {it Xylella} epidemic,\u0000\u0000independently of the presence of predators.","PeriodicalId":18285,"journal":{"name":"Mathematical Modelling of Natural Phenomena","volume":" ","pages":""},"PeriodicalIF":2.2,"publicationDate":"2022-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48521765","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