{"title":"Effect of wedge duration and electromagnetic noise on spiral wave dynamics","authors":"","doi":"10.1016/j.cnsns.2024.108262","DOIUrl":"10.1016/j.cnsns.2024.108262","url":null,"abstract":"<div><p>This paper focuses particularly on the influence of wedge duration on spiral wave formation and the regulation of electromagnetic noise. The motion stability or periodicity of a constructed regular neuronal network system is revealed by applying the master stability function method. The effect of wedge duration and electromagnetic noise on spiral wave dynamics is quantified using defined metrics, and explained by bifurcation of neuronal activity and differentiation of neuronal populations. Research results are as follows: (1) The appearing wave head rotates and evolves into a spiral pattern due to the potential difference between neurons, which is determined by wedge duration. (2) Whether it is homogeneous or heterogeneous, electromagnetic noise can effectively regulate the evolution of spiral waves. (3) Noise excitation significantly suppresses the network firing activity and alters the electric field distribution, leading to the narrowing of spiral arm and the drift of wave head. This study not only demonstrates the importance of wedge duration for spiral wave formation, but also provides guidance for stochastically regulating the spiral wave evolution.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142098328","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Multiple transmission routes in nosocomial bacterial infections — A modeling study","authors":"","doi":"10.1016/j.cnsns.2024.108265","DOIUrl":"10.1016/j.cnsns.2024.108265","url":null,"abstract":"<div><p>In this paper, we propose a new mathematical model to investigate nosocomial infections caused by both antibiotic-sensitive and antibiotic-resistant bacteria. A focus of our modeling study is the presence of multiple transmission pathways, including the primary infection, co-infection, and re-infection from each type of bacteria, and their interplay with each other in the process of disease spread. We calibrate this model to clinical data and quantify the effects of each transmission route in the epidemic development and evolution. Our data fitting and numerical simulation results indicate that resistant bacteria play a more significant role than sensitive bacteria in shaping the hospital epidemics in our study, highlighting the importance of effective prevention and intervention strategies for antibiotic-resistant bacteria. We also find that the primary infection and re-infection have a larger impact than the co-infection on the short-term and long-term progression of the epidemics.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141984652","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Optimal convergent analysis of a linearized Euler finite element scheme for the 2D incompressible temperature-dependent MHD-Boussinesq equations","authors":"","doi":"10.1016/j.cnsns.2024.108264","DOIUrl":"10.1016/j.cnsns.2024.108264","url":null,"abstract":"<div><p>In this paper, we study a first-order Euler semi-implicit finite element scheme for the two-dimensional incompressible Boussinesq equations for magnetohydrodynamics convection with the temperature-dependent viscosity, electrical conductivity and thermal diffusivity. In finite element discretizations, the mini finite element is used to approximate the velocity and pressure, and the piecewise linear finite element is used to approximate the magnetic field and temperature. The unconditional stability of the proposed scheme is proved. By introducing three projection operators with variable coefficients and using the method of mathematical induction, we obtain optimal error estimates under a CFL type condition. Finally, numerical examples are provided to demonstrate these convergence rates.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141915323","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Multiscale study on a class of singularly perturbed system with discontinuous right-hand side and multiple root of the degenerate solution","authors":"","doi":"10.1016/j.cnsns.2024.108247","DOIUrl":"10.1016/j.cnsns.2024.108247","url":null,"abstract":"<div><p>A two point boundary value problem for a singularly perturbed system with double root of the degenerate equation is studied. This is a new class of problem in the case when the nonlinear term at the right end of the system is discontinuous on the straight line, which leads to the formation of complex multizonal internal layers that can be divided into eight regions in the neighborhood of the discontinuous straight line. In this paper, not only the modified boundary layer function method is used to obtain a smooth solution, but also the matching method is used to prove the existence of the solution to the problem. And its remainder estimation is given.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142006854","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Statistical inference for a stochastic generalized logistic differential equation","authors":"","doi":"10.1016/j.cnsns.2024.108261","DOIUrl":"10.1016/j.cnsns.2024.108261","url":null,"abstract":"<div><p>In this research we aim to estimate three parameters in a stochastic generalized logistic differential equation. We assume the intrinsic growth rate and shape parameters are constant but unknown. To estimate these two parameters, we use the maximum likelihood method and establish that the estimators for these two parameters are strongly consistent. We estimate the diffusion parameter by using the quadratic variation processes. To test our results, we evaluate two data scenarios, complete and incomplete, with fixed values assigned to the three parameters. In the incomplete data scenario, we apply an Expectation Maximization algorithm.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S1007570424004465/pdfft?md5=c34d7f165d71aab0565954db7f0060f5&pid=1-s2.0-S1007570424004465-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141964574","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The first-order unconditionally stable projection finite element method for the incompressible vector potential magnetohydrodynamics system","authors":"","doi":"10.1016/j.cnsns.2024.108263","DOIUrl":"10.1016/j.cnsns.2024.108263","url":null,"abstract":"<div><p>In this paper, we consider a first-order projection finite element scheme for the three dimensional incompressible magnetohydrodynamics system based on a magnetic vector potential formulation by writing the magnetic induction <span><math><mrow><mi>B</mi><mo>=</mo><mi>curl</mi><mi>A</mi></mrow></math></span>, where <span><math><mi>A</mi></math></span> is a magnetic potential. The main advantage of this projection scheme has two-fold. One is that numerical solutions of velocity field and magnetic induction both satisfy the divergence-free condition in fully discrete level. Another is that the proposed scheme is unconditionally stable for any mesh size and time step size. Under a reasonable regularity assumption, we derive spatial–temporal error estimates of the velocity and magnetic vector potential. Finally, numerical results are displayed to illustrate convergence rates.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141915329","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Effects of contact stiffness on the nonlinear motions induced by impacts on an overhung rotor system","authors":"","doi":"10.1016/j.cnsns.2024.108216","DOIUrl":"10.1016/j.cnsns.2024.108216","url":null,"abstract":"<div><p>The effects of contact stiffness between the rotor and stator on the internal resonance of forward and backward whirls in the rotating frame have been investigated, that is the forward and backward modes are commensurate in the rotating frame. First, the equations for an overhung rotor system with two rotors with coupling stiffness are established by Lagrangian method. By the transformation of a general coordinate system to a rotational coordinate system, we obtained the Campbell diagram in these two coordinate systems. The underlying rotating speeds corresponding to the internal resonances are analyzed by this Campbell diagram in the rotating coordinate system. Accounting for the impact force due to the exceeding of the clearance between the rotor and stator, we applied an ordinary differential equation solver to acquire the solutions, in bifurcation diagrams, orbits, FFT, and spectral density plots. The difference of the current study is investigating the stiffness effects on the nonlinear behaviors. More rich nonlinear phenomena were observed, such as 7:1, 5:1, 4:1, or 3:1 internal resonance in the rotating frame, but quasiperiodic motions are observed in the stationary frame. These internal resonance induced by forward and backward modes in the rotating frame in the FFTs was discussed, which can provide novel explanations for the complicated internal resonance.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141915318","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A numerical representation of hyperelliptic KdV solutions","authors":"","doi":"10.1016/j.cnsns.2024.108259","DOIUrl":"10.1016/j.cnsns.2024.108259","url":null,"abstract":"<div><p>The periodic and quasi-periodic solutions of the integrable system have been studied for four decades based on the Riemann theta functions. However, there is a fundamental difficulty in representing the solutions numerically because the Riemann theta function requires several transcendental parameters. This paper presents a novel method for the numerical representation of such solutions from the algebraic treatment of the periodic and quasi-periodic solutions of the Baker–Weierstrass hyperelliptic <span><math><mi>℘</mi></math></span> functions. We demonstrate the numerical representation of the hyperelliptic <span><math><mi>℘</mi></math></span> functions of genus two.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141915319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Convex symmetric rectangular pentagon central configurations","authors":"","doi":"10.1016/j.cnsns.2024.108250","DOIUrl":"10.1016/j.cnsns.2024.108250","url":null,"abstract":"<div><p>A convex rectangular pentagon, also called <em>house-shaped</em>, is a pentagon with the added restriction that two non-adjacent sides have equal lengths, each of which forms a right angle with the intervening side. In this paper, we focus on the existence of central configurations of the 5-body problem, where the five bodies are in a symmetric house-shaped configuration. That is, when the five bodies are located at the vertices of a convex rectangular pentagon, and moreover, the body not belonging to the two parallel sides lies along the symmetry line.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141915285","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Bertalanffy–Richards growth model perturbed by a time-dependent pattern, statistical analysis and applications","authors":"","doi":"10.1016/j.cnsns.2024.108258","DOIUrl":"10.1016/j.cnsns.2024.108258","url":null,"abstract":"<div><p>We analyze a modification of the Richards growth model by introducing a time-dependent perturbation in the growth rate. This modification becomes effective at a special switching time, which represents the first-crossing-time of the Richards growth curve through a given constant boundary. The relevant features of the modified growth model are studied and compared with those of the original one. A sensitivity analysis on the switching time is also performed. Then, we define two different stochastic processes, i.e. a non-homogeneous linear birth–death process and a lognormal diffusion process, such that their means identify to the growth curve under investigation. For the diffusion process, we address the problem of parameters estimation through the maximum likelihood method. The estimates are obtained via meta-heuristic algorithms (namely, Simulated Annealing and Ant Lion Optimizer). A simulation study to validate the estimation procedure is also presented, together with a real application to oil production in France. Special attention is devoted to the approximation of switching time density, viewed as the first-passage-time density for the lognormal process.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S100757042400443X/pdfft?md5=cebab662df46b972f2dcc65a39f284be&pid=1-s2.0-S100757042400443X-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141964575","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}