Results 121 to 130 of about 304,833 (302)

On the system of difference equations

, 2020
In this paper, we show that the system of difference equations x(n) = x(n-2)y(n-3)/y(n-1)(a(n)+b(n)x(n-2)y(n-3)), y(n) = y(n-2)x(n-3)/x(n-1)(alpha(n)+beta(n)y(n-2)x(n-3)), n is an element of N-0, where the sequences for all n is an element of N-0, (a(n)), (b(n)), (alpha(n)), (beta(n)) and the initial values x(-j), y(-j), j is an element of {1, 2, 3 ...
Kara, M., Yazlık, Y.
openaire   +1 more source

Analytical Study of Nonlinear Systems of Higher-Order Difference Equations: Solutions, Stability, and Numerical Simulations

Mathematics
This paper aims to derive analytical expressions for solutions of fractional bidimensional systems of difference equations with higher-order terms under specific parametric conditions. Additionally, formulations of solutions for one-dimensional equations
Hashem Althagafi, Ahmed Ghezal
doaj   +1 more source

Dimethyl fumarate combined with cisplatin at subcytotoxic doses sensitizes cervical cancer toward ferroptosis and apoptosis through GSH restriction and p53 (re)activation

Molecular Oncology, EarlyView.
Dimethyl fumarate (DMF) reduces growth of HPV‐positive cervical cancer spheroids and induces ferroptosis in cervical cancer cells via blocking SLC7A11/Glutathione (GSH) axis. Combination of subcytotoxic doses of DMF and cisplatin (CDDP) further suppresses spheroid growth and drives cell death in 2D culture models.
Carolina Punziano, Giuseppina Minopoli, Simona Romano, Laura Marrone, Katia Aquilano, Maria Lina Tornesello, Raffaella Faraonio   +6 more
wiley   +1 more source

Spatio-temporal numerical modelling of whooping cough dynamics

, 2001
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The SIR (Susceptible/Infectious/Recovered) whooping cough model involving nonlinear ordinary differential equations is studied and extended to incorporate (
Piyawong, Wirawan
core  

The structure of the spectrum of a system of difference equations

Applied Mathematics Letters, 2005
This paper is concerned with the spectrum of the the system \[ \begin{aligned} a_{n+1}y_{n+1}^{(2)}+b_{n}y_{n}^{(2)}+p_{n}y_{n}^{(1)} &=\lambda y_{n}^{(1)}, \tag{1}\\ b_{n}y_{n}^{(1)}+a_{n-1}y_{n-1}^{(1)}+q_{n}y_{n}^{(2)} &=\lambda y_{n}^{(2)},\tag{2}\end{aligned} \] where \(n\in \mathbb Z=\{0,\pm 1,\pm 2,\dots \},\) \(\{ a_{n}\} _{n\in \mathbb Z ...
Elgiz Bairamov, Cafer Coskun
openaire   +2 more sources

COMP–PMEPA1 axis promotes epithelial‐to‐mesenchymal transition in breast cancer cells

Molecular Oncology, EarlyView.
This study reveals that cartilage oligomeric matrix protein (COMP) promotes epithelial‐to‐mesenchymal transition (EMT) in breast cancer. We identify PMEPA1 (protein TMEPAI) as a novel COMP‐binding partner that mediates EMT via binding to the TSP domains of COMP, establishing the COMP–PMEPA1 axis as a key EMT driver in breast cancer.
Konstantinos S. Papadakos, Gilar Gorji‐bahri, Lejla Gradjan, Julia Zajac, Kacper Gil, Yvonne Thokozile Nduku, Anna M. Blom   +6 more
wiley   +1 more source

Perturbations of Nonlinear Systems of Difference Equations

Journal of Mathematical Analysis and Applications, 1996
Sufficient conditions in order to ensure that the perturbed equation \[ y(n+1)= f(n,y(n))+ g(n,y(n)) \] inherits its stability from the equation \[ x(n+1)= f(n,x(n)), \] are given.
openaire   +1 more source

On the System of Nonlinear Rational Difference Equations

, 2013
{"references": ["M.P. Hassell and H.N. Comins, Discrete time models for two-species\ncompetition, Theoretical Population Biology, Vol. 9, no. 2,1976, pp.\n202\u2013221.", "J.E. Franke and A.A. Yakubu, Mutual exclusion versus coexistence for\ndiscrete competitive Systems, Journal of Mathematical Biology, Vol.30,\nno. 2,1991, pp.
Qianhong Zhang, Wenzhuan Zhang
openaire   +14 more sources

On a System of Two Nonlinear Difference Equations

Journal of Mathematical Analysis and Applications, 1998
Concerning the system \(x_{n+1}=A+y_n/x_{n-p}\), \(y_{n+1}=A+x_n/y_{n-q}\) with \(A\geq 0\) and natural numbers \(p\), \(q\), the authors show: (i) the positive solutions are bounded, (ii) they oscillate about the equilibrium \((1+A,1+A)\), (iii) the equilibrium is globally asymptotically stable for \(A>1\).
Papaschinopoulos, G., Schinas, C.J.
openaire   +1 more source

Global Dynamics of a 3 × 6 System of Difference Equations

Discrete Dynamics in Nature and Society, 2019
In the proposed work, global dynamics of a 3×6 system of rational difference equations has been studied in the interior of R+3. It is proved that system has at least one and at most seven boundary equilibria and a unique +ve equilibrium under certain ...
S. M. Qureshi, A. Q. Khan
doaj   +1 more source