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Embedding and global stability in periodic 2-dimensional maps of mixed monotonicity
(Elsevier, 2022-02)
In this paper, we consider nonautonomous second order difference equations of the form xn+1 = F(n, xn, xn−1), where F is p-periodic in its first component, non-decreasing in its second component and non-increasing in its ...
The role of vigilance on a discrete-time predator-prey model
(American Institute of Mathematical Sciences, 2022)
The change of behaviors of prey in the form of vigilance significantly affects the dynamics of a predator-prey system. In this paper, we consider a discrete-time predator-prey model, where the vigilance of prey acts as a ...
The n-zero-divisor graph of a commutative semigroup
(Taylor and Francis, 2022-04-16)
Let S be a (multiplicative) commutative semigroup with 0, Z(S) the set of zero-divisors of S, and n a positive integer. The zero-divisor graph of S is the (simple) graph Γ(S) with vertices Z(S) ∗ = Z(S) \ {0}, and distinct ...
A Numerical Investigation of the Buckling of Doubly Clamped Nano-Actuators Governed by an Integro-Differential Equation
(Springer, 2022)
In this article, a fixed point iterative scheme involving Green's function is applied to reach a solution for the buckling of nano-actuators under nonlinear forces. Our solution is convergent. The nano-actuators problem ...
On Weakly 1-Absorbing Primary Ideals of Commutative Rings
(World Scientific, 2022)
Let R be a commutative ring with 1 ≠ 0. In this paper, we introduce the concept of weakly 1-absorbing primary ideal which is a generalization of 1-absorbing primary ideal. A proper ideal I of R is called a weakly 1-absorbing ...
Modeling of the In Vitro Release Kinetics of Sonosensitive Targeted Liposomes
(MDPI, 2022-12-05)
Targeted liposomes triggered by ultrasound are a promising drug delivery system as they potentially improve the clinical outcomes of chemotherapy while reducing associated side effects. In this work, a comprehensive model ...
Graph of Linear Transformations Over R
(Springer, 2022-12-01)
In this paper, we study a connection between graph theory and linear transformations of finite dimensional vector spaces over R (the set of all real numbers). Let Rm, Rn be finite vector spaces over R, and let L be the set ...
A projection scheme for phase change problems with convection
(Elseiver, 2022-01)
Numerical modeling of phase change problems with convection is known to be computationally expensive. The main challenge comes from the coupling between Navier–Stokes and heat energy equations. In this paper, we develop a ...
Efficiency of parallel anisotropic mesh adaptation for the solution of the bidomain model in cardiac tissue
(Elsevier, 2022-04)
Electrocardiology models are nonlinear reaction–diffusion type systems, where the numerical simulation requires extremely fine meshes to accurately compute the heart’s electrical activity. Anisotropic mesh adaptation methods ...