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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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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Oscillation and asymptotic behavior for a class of delay parabolic differential
AbstractSome comparative theorems are given for the oscillation and asymptotic behavior for a class of high order delay parabolic differential equations of the form ∂n(u(x,t)−p(t)u(x,t−τ))∂tn−a(t)△u+c(x,t,u)+∫abq(x,t,ξ)f(u(x,g1(t,ξ)),…,u(x,gl(t,ξ)))dσ(ξ)=0,(x,t)∈Ω×R+≡G, where n is an odd integer, Ω is a bounded domain in Rm with a smooth boundary ∂Ω ...
Qisheng Wang+3 more
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Asymptotic Behavior of a Discrete Nonlinear Oscillator with Damping Dynamical System [PDF]
We propose a new discrete version of nonlinear oscillator with damping dynamical system governed by a general maximal monotone operator. We show the weak convergence of solutions and their weighted averages to a zero of a maximal monotone operator . We also prove some strong convergence theorems with additional assumptions on .
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Two-scale homogenization of a stationary mean-field game
In this paper, we characterize the asymptotic behavior of a first-order stationary mean-field game (MFG) with a logarithm coupling, a quadratic Hamiltonian, and a periodically oscillating potential.
Ferreira, Rita+2 more
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Large time behavior and asymptotic stability of the two-dimensional Euler and linearized Euler equations [PDF]
We study the asymptotic behavior and the asymptotic stability of the two-dimensional Euler equations and of the two-dimensional linearized Euler equations close to parallel flows.
Antkowiak+69 more
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Asymptotic behavior in time of solution to system of cubic nonlinear Schr"odinger equations in one space dimension [PDF]
In this paper, we consider the large time asymptotic behavior of solutions to systems of two cubic nonlinear Schr"odinger equations in one space dimension. It turns out that for a system there exists a small solution of which asymptotic profile is a sum of two parts oscillating in a different way. This kind of behavior seems new.
arxiv
On avoiding cosmological oscillating behavior for S-brane solutions with diagonal metrics
In certain string inspired higher dimensional cosmological models it has been conjectured that there is generic, chaotic oscillating behavior near the initial singularity -- the Kasner parameters which characterize the asymptotic form of the metric "jump"
A. A. Kirillov+15 more
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Asymptotic behavior and oscillation of functional differential equations
AbstractAsymptotic relations between the solutions of a linear autonomous functional differential equation and the solutions of the corresponding perturbed equation are established. In the scalar case, it is shown that the existence of a nonoscillatory solution of the perturbed equation often implies the existence of a real eigenvalue of the limiting ...
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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.
William T. Patula, John W. Hooker
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