Results 21 to 30 of about 8,901 (104)
Modal decompositions and point scatterer approximations near the Minnaert resonance frequencies
Studies in Applied Mathematics, Volume 149, Issue 1, Page 164-229, July 2022., 2022 Abstract This paper provides several contributions to the mathematical analysis of subwavelength resonances in a high‐contrast medium containing N$N$ acoustic obstacles. Our approach is based on an exact decomposition formula which reduces the solution of the sound scattering problem to that of an N$N$ dimensional linear system, and characterizes ...
Florian Feppon, Habib Ammari
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Equilibria and Bogdanov‐Takens Bifurcation Analysis in the Bazykin’s Predator‐Prey System
Discrete Dynamics in Nature and Society, Volume 2022, Issue 1, 2022., 2022 In the paper, we proposed a Bazykin’s predator‐prey system to explore the equilibrium point and Bogdanov‐Takens bifurcation problems. Firstly, we derived some key parameter threshold conditions to ensure that the Bazykin’s predator‐prey system had a multiple focus of multiplicity one, weak focus of order 2, cusps of codimension 2 and a degenerate ...
Shuangte Wang, Hengguo Yu, Chunrui Zhang
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Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The aim of this paper is to study the existence of (Q, T)‐affine‐periodic solutions for affine‐periodic systems on time scales of the type xΔ(t) = A(t)x(t) + f(t) and xΔt=Atxt+gt,xt,t∈T, assuming that corresponding homogeneous equation of this system admits exponential dichotomy.
Ruichao Guo +3 more
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Discrete Dynamics in Nature and Society, Volume 2021, Issue 1, 2021., 2021 In this paper, complex dynamical behaviors of a predator‐prey system with the Beddington–DeAngelis functional response and the Allee‐like effect on predator were studied by qualitative analysis and numerical simulations. Theoretical derivations have given some sufficient and threshold conditions to guarantee the occurrence of transcritical, saddle‐node,
Shuangte Wang, Hengguo Yu, Rodica Luca
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On Hermite’s problem, Jacobi–Perron type algorithms, and Dirichlet groups [PDF]
Acta Arithmetica, 2021 In 1848 Ch.~Hermite asked if there exists some way to write cubic irrationalities periodically. A little later in order to approach the problem C.G.J.~Jacobi and O.~Perron generalized the classical continued fraction algorithm to the three-dimensional ...
O. Karpenkov
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The inverse Frobenius-Perron problem: A survey of solutions to the original problem formulation
AIMS Mathematics, 2021 The inverse Frobenius-Perron problem (IFPP) is a collective term for a family of problems that requires the construction of an ergodic dynamical system model with prescribed statistical characteristics.
A. McDonald, M. A. Wyk, Guanrong Chen
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Discrete Dynamics in Nature and Society, Volume 2019, Issue 1, 2019., 2019 A formal description of typical compartmental epidemic models obtained is presented by splitting the state into an infective substate, or infective compartment, and a noninfective substate, or noninfective compartment. A general formal study to obtain the reproduction number and discuss the positivity and stability properties of equilibrium points is ...
M. De la Sen +4 more
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Vortex Structures inside Spherical Mesoscopic Superconductor Plus Magnetic Dipole
Advances in Mathematical Physics, Volume 2018, Issue 1, 2018., 2018 We investigate the existence of multivortex states in a superconducting mesoscopic sphere with a magnetic dipole placed at the center. We obtain analytic solutions for the order parameter Ψ(r→) inside the sphere through the linearized Ginzburg‐Landau (GL) model, coupled with mixed boundary conditions, and under regularity conditions and decoupling ...
A. Ludu, Alexander Iomin
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Abstract and Applied Analysis, Volume 2017, Issue 1, 2017., 2017 We investigate global dynamics of the following systems of difference equations xn+1 = xn/(A1 + B1xn + C1yn), yn+1=yn2/A2+B2xn+C2yn2, n = 0,1, …, where the parameters A1, A2, B1, B2, C1, and C2 are positive numbers and the initial conditions x0 and y0 are arbitrary nonnegative numbers.
V. Hadžiabdić +3 more
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A Hand‐Foot‐and‐Mouth Disease Model with Periodic Transmission Rate in Wenzhou, China
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We establish an SEIQRS epidemic model with periodic transmission rate to investigate the spread of seasonal HFMD in Wenzhou. The value of this study lies in two aspects. Mathematically, we show that the global dynamics of the HFMD model can be governed by its reproduction number R0; if R0 < 1, the disease‐free equilibrium of the model is globally ...
Yeting Zhu +6 more
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