Results 71 to 80 of about 546 (157)

Dynamics Study and Solutions Expressions of Rational Discrete Systems

Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.
This article goal is to study the qualitative behaviors for the following rational difference systems Un+1 = d1Un−1 + a1Vn−5Un−1/b1 + e1Vn−5 + Vn−3(s1 + c1Vn−5VnUn−4Un−1), Vn+1 = d2Vn−1 + a2Un−5Vn−1/b2 + e2Un−5 + Un−3(s2 + c2Un−5UnVn−4Vn−1), namely, local asymptotic stable, global attractor of the equilibrium points and the boundedness of the positive ...
B. S. Alofi, Ahmed Ezzat Matouk
wiley   +1 more source

On the difference equation ${ x_{n+1}=\frac{ax_{n}^{2}+bx_{n-1}x_{n-k}}{cx_{n}^{2}+dx_{n-1}x_{n-k}}}$

Sarajevo Journal of Mathematics
In this paper we investigate the global convergence result, boundedness, and periodicity of solutions of the recursive sequence \begin{equation*}x_{n+1}=\frac{ax_{n}^{2}+bx_{n-1}x_{n-k}}{cx_{n}^{2}+dx_{n-1}x_{n-k}},\;\;\;n=0,1,\dots\end{equation*}where ...
E. M. Elabbasy, H. El-Metwally, E. Elsayed   +2 more
semanticscholar   +1 more source

Dynamics of a system of rational third-order difference equation

, 2012
In this paper, we study the dynamical behavior of positive solution for a system of a rational third-order difference equation xn+1=xn−2B+yn−2yn−1yn,yn+1=yn−2A+xn−2xn−1xn,n=0,1,…, where A,B∈(0,∞), x−2,x−1,x0∈(0,∞); y−2,y−1,y0∈(0,∞).MSC:39A10.
Qian-Hong Zhang, Li-Hui Yang, Jingzhong Liu   +2 more
semanticscholar   +1 more source

Dynamics of a fourth-order system of rational difference equations

, 2012
In this paper, we study the equilibrium points, local asymptotic stability of an equilibrium point, instability of equilibrium points, periodicity behavior of positive solutions, and global character of an equilibrium point of a fourth-order system of ...
Qamar Din, M. N. Qureshi, A. Khan
semanticscholar   +1 more source

Triple solutions for a Dirichlet boundary value problem involving a perturbed discrete p(k)-Laplacian operator

Open Mathematics, 2017
Triple solutions are obtained for a discrete problem involving a nonlinearly perturbed one-dimensional p(k)-Laplacian operator and satisfying Dirichlet boundary conditions.
Khaleghi Moghadam Mohsen, Henderson Johnny   +1 more
doaj   +1 more source

Solvability of Boundary Value Problems for a Class of Third-Order Functional Difference Equations

Sarajevo Journal of Mathematics
Consider the boundary value problems consisting of the functional difference equation$$\Delta^3x(n)=f(n,x(n+2),x(n-\tau_1(n)),\dots,x(n-\tau_m(n))),\;\;n\in[0,T] $$ and the following boundary value conditions\[\begin{cases}x(0)=x(T+3)=x(1)=0,\\x(n)=\psi ...
Yuji Liu
semanticscholar   +1 more source

Mathematical modelling of HIV epidemic and stability analysis

, 2014
A nonlinear mathematical model of differential equations with piecewise constant arguments is proposed. This model is analyzed by using the theory of both differential and difference equations to show the spread of HIV in a homogeneous population ...
F. Bozkurt, Fatma Peker
semanticscholar   +1 more source

Solvable subclasses of a class of nonlinear second-order difference equations

Advances in Nonlinear Analysis, 2016
We present some solvable subclasses of the class of nonlinear second-order difference equations of the form Axn+1 + Bxn+1xn + Cxnxn-1 + Gxn+1xn-1 + Dxn + Exn-1 + F = 0, n ∈ ℕ0, where the parameters A, B, C, D, E, F, G and the initial values x-1,x0 are ...
Stević Stevo
doaj   +1 more source

Oscillation Criteria of Second-Order Quasi-Linear Neutral Delay Difference Equations [PDF]

, 2010
2000 Mathematics Subject Classification: 39A10.The oscillatory and nonoscillatory behaviour of solutions of the second order quasi linear neutral delay difference equation Δ(an | Δ(xn+pnxn-τ)|α-1 Δ(xn+pnxn-τ) + qnf(xn-σ)g(Δxn) = 0 where n ∈ N(n0), α > 0,
Pandian, S., Thandapani, E., Revathi, T.
core  

Asymptotic behavior of a Nicholson-Bailey model

, 2014
In this paper, we study the qualitative behavior of a Nicholson-Bailey host-parasitoid model given by xn+1=Rxne−ayn,yn+1=xn(1−e−ayn), where R, a and initial conditions x0, y0 are positive real numbers.
M. N. Qureshi, Abdul Qadeer Khan, Qamar Din   +2 more
semanticscholar   +1 more source