On a Stochastic SEIS Model with Treatment Rate of Latent Population
The asymptotic dynamics of a stochastic SEIS epidemic model with treatment rate of latent population is investigated. First, we show that the system provides a unique positive global solution starting from the positive initial value.
Shujing Gao +3 more
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Asymptotic behavior and oscillation of difference equations of volterra type
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Thandapani, E., Lalli, B.S.
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A probabilistic analysis of a leader election algorithm [PDF]
A leader election algorithm is an elimination process that divides recursively into tow subgroups an initial group of n items, eliminates one subgroup and continues the procedure until a subgroup is of size 1.
Hanene Mohamed
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A second-order nonlinear difference equation: Oscillation and asymptotic behavior
AbstractDiscrete analogues are investigated for well-known results on oscillation, growth, and asymptotic behavior of solutions of y″ + q(t) yγ = 0, for q(t) ⩾ 0 and for q(t) ⩽ 0. The analogue of Atkinson's oscillation criterion is shown to be true for Δ2yn − 1 + qn ynγ = 0, but the analogue for Atkinson's nonoscillation criterion is shown to be false.
Hooker, John W., Patula, William T.
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Universality in the profile of the semiclassical limit solutions to the focusing Nonlinear Schroedinger equation at the first breaking curve [PDF]
We consider the semiclassical (zero-dispersion) limit of the one-dimensional focusing Nonlinear Schroedinger equation (NLS) with decaying potentials.
A. Tovbis, M. Bertola, Tracy
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Asymptotic correlation functions and FFLO signature for the one-dimensional attractive Hubbard model
We study the long-distance asymptotic behavior of various correlation functions for the one-dimensional (1D) attractive Hubbard model in a partially polarized phase through the Bethe ansatz and conformal field theory approaches.
Song Cheng +4 more
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Oscillation and asymptotic behavior of two-dimensional difference systems
The authors investigate the oscillatory behavior of the solutions to a two-dimensional difference system \(\Delta x_n=b_ng(y_n)\), \(\Delta y_{n-1}=-a_nf(x_n),\) \(n\in N(n_0)=\{n_0,n_0+1, \dots\}\). Equivalent conditions for the oscillation of all solutions of the system are given, under some hypotheses.
Jiang, Jianchu, Tang, Xianhua
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We study the asymptotic behavior of the solutions of a spectral problem for the Laplacian in a domain with rapidly oscillating boundary. We consider the case where the eigenvalue of the limit problem is multiple.
A. G. Belyaev +42 more
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Quantum billiards with branes on product of Einstein spaces [PDF]
We consider a gravitational model in dimension D with several forms, l scalar fields and a Lambda-term. We study cosmological-type block-diagonal metrics defined on a product of an 1-dimensional interval and n oriented Einstein spaces.
Ivashchuk, V. D.
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Oscillation and asymptotic behavior of systems of ordinary linear differential equations [PDF]
Conditions are established for oscillatory and asymptotic behavior for first-order matrix systems of ordinary differential equations, including Hamiltonian systems in the selfadjoint case. Asymptotic results of Hille, Shreve, and Hartman are generalized. Disconjugacy criteria of Ahlbrandt, Tomastik, and Reid are extended.
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