Positive Periodic Solutions of an Epidemic Model with Seasonality [PDF]
The Scientific World Journal, 2013 An SEI autonomous model with logistic growth rate and its corresponding nonautonomous model are investigated. For the autonomous case, we give the attractive regions of equilibria and perform some numerical simulations.
Gui-Quan Sun +4 more
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Multiple Positive Periodic Solutions for Delay Differential System [PDF]
Discrete Dynamics in Nature and Society, 2009 We obtain some existence results for multiple positive periodic solutions of some delay differential systems. Examples are presented as applications. For a general positive integer m≥2, main results of this paper do not appear in former literatures as we
Zhao-Cai Hao, Ti-Jun Xiao, Jin Liang
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Global Stability of Positive Periodic Solutions and Almost Periodic Solutions for a Discrete Competitive System [PDF]
Discrete Dynamics in Nature and Society, 2015 A discrete two-species competitive model is investigated. By using some preliminary lemmas and constructing a Lyapunov function, the existence and uniformly asymptotic stability of positive almost periodic solutions of the system are derived. In addition,
Heping Ma, Jianguo Gao, Lingling Xie
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Multiple Positive Periodic Solutions for a Functional Difference System [PDF]
Abstract and Applied Analysis, 2014 We obtain two existence results about multiple positive periodic solutions for a class of functional difference system. Two examples are given to illustrate our results.
Yue-Wen Cheng, Hui-Sheng Ding
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Positive Periodic Solutions for First-Order Neutral Functional Differential Equations with Periodic Delays [PDF]
Abstract and Applied Analysis, 2012 In this paper, two classes of first-order neutral functional differential equations with periodic delays are considered. Some results on the existence of positive periodic solutions for the equations are obtained by using the Krasnoselskii fixed point ...
Zeqing Liu +3 more
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Existence of Periodic Positive Solutions for Abstract Difference Equations [PDF]
Discrete Dynamics in Nature and Society, 2011 We will consider the existence of multiple positive periodic solutions for a class of abstract difference equations by using the well-known fixed point theorem (due to Krasnoselskii).
Shugui Kang, Yaqiong Cui, Jianmin Guo
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Positive Periodic Solutions of Second-Order Differential Equations with Delays [PDF]
Abstract and Applied Analysis, 2012 The existence results of positive ω-periodic solutions are obtained for the second-order differential equation with delays −u″+a(t)=f(t,u(t−τ1),...,u(t−τn)), where a∈C(ℝ,(0,∞)) is a ω-periodic function, f:ℝ×[0,∞)n→[0,∞) is a continuous function, which is
Yongxiang Li
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Positive Periodic Solutions of Nonlinear First-Order Functional Difference Equations
Discrete Dynamics in Nature and Society, 2010 We consider the existence, multiplicity, and nonexistence of positive T-periodic solutions for the difference equations Δx(n)=a(n)g(x(n))x(n)-λb(n)f(x(n-τ(n))), and Δx(n)+a(n)g(x(n))x(n)=λb(n)f(x(n-τ(n))), where a,b:ℤ→[0,∞) are T-periodic, τ:ℤ→ℤ is T ...
Ruyun Ma, Tianlan Chen, Yanqiong Lu
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Positive periodic solutions of nonlinear functional difference equations
Electronic Journal of Differential Equations, 2002 In this paper, we apply a cone theoretic fixed point theorem to obtain sufficient conditions for the existence of multiple positive periodic solutions to the nonlinear functional difference equations $$ x(n+1)=a(n)x(n)pm lambda h(n) f(x(n-au(n))). $$
Youssef N. Raffoul
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Positive unstable periodic solutions for superlinear parabolic equations [PDF]
Proceedings of the American Mathematical Society, 1995 In this paper, we are concerned with a superlinear parabolic equation \[ { ∂ u ∂ t
Hirano, Norimichi, Mizoguchi, Noriko
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