Mathematical Modelling of Natural Phenomena最新文献_第6页

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":null,"pages":null},"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":null,"pages":null},"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

Mathematical modelling in nonlocal Mindlin’s strain gradient thermoelasticity with voids 带孔洞的非局部Mindlin应变梯度热弹性的数学建模

IF 2.2 4区数学

Mathematical Modelling of Natural Phenomena Pub Date : 2022-09-14 DOI: 10.1051/mmnp/2022042

M. Aouadi

引用次数: 0

The normal velocity of the population front in the "predator-prey" model “捕食者-猎物”模型中种群前沿的法向速度

IF 2.2 4区数学

Mathematical Modelling of Natural Phenomena Pub Date : 2022-08-18 DOI: 10.1051/mmnp/2022039

Evgeniy Dats, Sergey Minaev, Vladimir Gubernov, Junnosuke Okajima

引用次数: 0

Controllability of Delayed Discret Fornasini-Marchesini Model via Quantization and Random Packet Dropouts 基于量化和随机丢包的延迟离散Fornasini-Marchesini模型的可控性

IF 2.2 4区数学

Mathematical Modelling of Natural Phenomena Pub Date : 2022-08-17 DOI: 10.1051/mmnp/2022040

Adnen Adnen

引用次数: 3

Stochastic bifurcations and tipping phenomena of insect outbreak systems driven by α-stable Lévy processes α-稳定Lévy过程驱动的昆虫爆发系统的随机分叉和倾翻现象

IF 2.2 4区数学

Mathematical Modelling of Natural Phenomena Pub Date : 2022-08-08 DOI: 10.1051/mmnp/2022037

S. Yuan, Yang Li, Zhigang Zeng

{"title":"Stochastic bifurcations and tipping phenomena of insect outbreak systems driven by α-stable Lévy processes","authors":"S. Yuan, Yang Li, Zhigang Zeng","doi":"10.1051/mmnp/2022037","DOIUrl":"https://doi.org/10.1051/mmnp/2022037","url":null,"abstract":"In this work, we mainly characterize stochastic bifurcations and tipping phenomena of insect outbreak dynamical systems driven by $alpha$-stable L'evy processes. In one-dimensional insect outbreak model, we find the fixed points representing refuge and outbreak from the bifurcation curves, and carry out a sensitivity analysis with respect to small changes in the model parameters, the stability index and the noise intensity. We perform the numerical simulations of dynamical trajectories using Monte Carlo methods, which contribute to looking at stochastic hysteresis phenomenon. As for two-dimensional insect outbreak system, we identify the global stability properties of fixed points and express the probability density function by the stationary solution of the nonlocal Fokker-Planck equation. Through numerical modelling, the phase portrait makes it possible to detect critical transitions among the stable states. It is then worth describing stochastic bifurcation associated with tipping points induced by noise through a careful examination of the dynamical paths of the insect outbreak system with external forcing. The results give new insight into the sensitivity of ecosystems to realistic environmental changes represented by stochastic perturbations.","PeriodicalId":18285,"journal":{"name":"Mathematical Modelling of Natural Phenomena","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41259543","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: 3

Optimal control for a bone metastasis with radiotherapy model using a linear objective functional 利用线性目标泛函的放射治疗模型对骨转移进行最优控制

IF 2.2 4区数学

Mathematical Modelling of Natural Phenomena Pub Date : 2022-08-07 DOI: 10.1051/mmnp/2022038

Ariel Camacho, Enrique Diaz-Ocampo, S. Jerez

{"title":"Optimal control for a bone metastasis with radiotherapy model using a linear objective functional","authors":"Ariel Camacho, Enrique Diaz-Ocampo, S. Jerez","doi":"10.1051/mmnp/2022038","DOIUrl":"https://doi.org/10.1051/mmnp/2022038","url":null,"abstract":"Radiation is known to cause genetic damage to highly proliferative cells such as cancer cells. However, the radiotherapy effects to bone cells is not completely known. In this work we present a mathematical modeling framework to test hypotheses related to the radiation-induced effects on bone metastasis. Thus, we pose an optimal control problem based on a Komarova model describing the interactions between cancer cells and bone cells at a single site of bone remodeling. The radiotherapy treatment is included in the form of a functional which minimizes the use of radiation using a penalty function. Moreover, we are interested to model the 'on' and the 'off' time states of the radiation schedules; so we propose an optimal control problem with a L1-type objective functional.\u0000\u0000Bang-bang or singular arc solutions are the obtained optimal control solutions. We characterize both solutions types and explicitly give necessary optimality conditions for them. We present numerical simulations to analyze the different possible radiation effects on the bone and cancer cells. We also evaluate the more significant parameters to shift from a bang-bang solution to a singular arc solution and vice versa. Additionally, we study a fractionated radiotherapy model.","PeriodicalId":18285,"journal":{"name":"Mathematical Modelling of Natural Phenomena","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47394342","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: 2

Editorial 编辑

IF 2.2 4区数学

Mathematical Modelling of Natural Phenomena Pub Date : 2022-08-04 DOI: 10.1051/mmnp/2022036

A. Ruimy, Vitaly Volpert

引用次数: 1

DEGREE-BIASED ADVECTION-DIFFUSION ON UNDIRECTED GRAPHS/NETWORKS 无向图/网络上的度偏平流扩散

IF 2.2 4区数学

Mathematical Modelling of Natural Phenomena Pub Date : 2022-08-01 DOI: 10.1051/mmnp/2022034

E. Estrada, Manuel Miranda

引用次数: 1

Modelling optimal pest control of non-autonomous predator-prey interaction 非自治捕食-被捕食相互作用下害虫最优控制模型

IF 2.2 4区数学

Mathematical Modelling of Natural Phenomena Pub Date : 2022-07-26 DOI: 10.1051/mmnp/2022033

Paulo Jorge dos Santos Pinto Rebelo, Silvério Simões Rosa, César Augusto Simões Teixeira Marques da Silva

引用次数: 0