Results 11 to 20 of about 9,794 (135)
Modeling the Parasitic Filariasis Spread by Mosquito in Periodic Environment. [PDF]
Comput Math Methods Med, 2017 In this paper a mosquito‐borne parasitic infection model in periodic environment is considered. Threshold parameter R0 is given by linear next infection operator, which determined the dynamic behaviors of system. We obtain that when R0 < 1, the disease‐free periodic solution is globally asymptotically stable and when R0 > 1 by Poincaré map we obtain ...
Cheng Y, Wang X, Pan Q, He M.
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GAMM-Mitteilungen, Volume 46, Issue 2, June 2023., 2023 Summary The determination of stationary solutions of dynamical systems as well as analyzing their stability is of high relevance in science and engineering. For static and periodic solutions a lot of methods are available to find stationary motions and analyze their stability.
Hartmut Hetzler, Simon Bäuerle
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On some symmetric multidimensional continued fraction algorithms [PDF]
, 2015 We compute explicitly the density of the invariant measure for the Reverse algorithm which is absolutely continuous with respect to Lebesgue measure, using a method proposed by Arnoux and Nogueira. We also apply the same method on the unsorted version of
Arnoux +5 more
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Spectral Determinant of the Two‐Photon Quantum Rabi Model
Annalen der Physik, Volume 535, Issue 3, March 2023., 2023 The determination of the exact spectrum of quantum systems with a single continuous degree of freedom is only possible in very few cases, because polynomial ansatz functions do not exist. Here it is demonstrated that the Bargmann Hilbert space allows the computation of the spectral determinant of the quantum Rabi model with non‐linear (two‐photon ...
Daniel Braak
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Limit laws for rational continued fractions and value distribution of quantum modular forms
Proceedings of the London Mathematical Society, Volume 125, Issue 6, Page 1377-1425, December 2022., 2022 Abstract We study the limiting distributions of Birkhoff sums of a large class of cost functions (observables) evaluated along orbits, under the Gauss map, of rational numbers in (0, 1] ordered by denominators. We show convergence to a stable law in a general setting, by proving an estimate with power‐saving error term for the associated characteristic
Sandro Bettin, Sary Drappeau
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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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On soft capacities, quasi-stationary distributions and the pathwise approach to metastability [PDF]
, 2020 Motivated by the study of the metastable stochastic Ising model at subcritical temperature and in the limit of a vanishing magnetic field, we extend the notion of ($\kappa$, $\lambda$)-capacities between sets, as well as the associated notion of soft ...
Bianchi, A. +2 more
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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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