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Nonstandard Dynamically Consistent Numerical Methods for MSEIR Model [PDF]
Journal of Applied and Computational Mechanics, 2022 In this paper, two numerical methods for solving the MSEIR model are presented. In constructing these methods, the non-standard finite difference strategy is used.
Ali Shokri +2 more
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On the global attractivity and the periodic character of a recursive sequence [PDF]
Opuscula Mathematica, 2010 In this paper we investigate the global convergence result, boundedness, and periodicity of solutions of the recursive sequence \[x_{n+1} = ax_n + \frac{bx_{n-1}+cx_{n+2}}{dx_{n-1}+ex_{n+2}}, \quad n=0,1,\ldots,\] where the parameters \(a\), \(b\), \(c\),
E. M. Elsayed
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On the dynamical behaviors and periodicity of difference equation of order three
Journal of New Results in Science, 2022 The major target of our research paper is to demonstrate the boundedness, stability and periodicity of the solutions of the following third- order difference equation $$ w_{n+1} = \alpha w_{n} +\frac {\beta+ \gamma w_{n_-2} }{\delta+\zeta w_{n-2}} , \;\;
Elsayed Elsayed, Ibraheem Alsulami
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Axioms, 2021 The purpose of this paper is to investigate some qualitative properties of solutions of nonlinear fractional retarded Volterra integro-differential equations (FrRIDEs) with Caputo fractional derivatives.
Osman Tunç +3 more
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Fractal and Fractional, 2022 Recently, the insurance industry in China has been greatly developed. The number of domestic insurance companies and foreign investment insurance companies has greatly increased.
Peiluan Li +4 more
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Adaptive iterative learning control with trajectory shift
Xi'an Gongcheng Daxue xuebao, 2022 In order to solve the problem of trajectory shift in iterative learning control, an adaptive iterative learning control strategy was proposed. For linear time-varying systems with unknown parameters, an adaptive parameter updating algorithm was ...
WANG Shouqin, HE Xingshi, GENG Yan
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Cubo, 2019 In the case of nonlinear problems, whether in differential or difference equations, it is difficult and in some cases impossible to invert the problem and obtain a suitable mapping that can be effectively used in fixed point theory to qualitatively ...
Youssef N. Raffoul
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On a system of $m$ difference equations having exponential terms
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this paper we study the asymptotic behavior of the positive solutions of a cyclic system of the following $m$ difference equations: \begin{align*} x^{(i)}_{n+1}&=a_ix_n^{(i+1)}+b_i x^{(i)}_{n-1}e^{{-x^{(i+1)}_n}},\qquad i=1,2,\ldots, m-1,\\ x^{(m)}_ ...
Garyfalos Papaschinopoulos +2 more
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Dynamical Analysis of Discrete-Time Two-Predators One-Prey Lotka–Volterra Model
Mathematics, 2022 This research manifesto has a comprehensive discussion of the global dynamics of an achievable discrete-time two predators and one prey Lotka–Volterra model in three dimensions, i.e., in the space R3.
Abdul Khaliq +4 more
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Energies, 2022 This paper presents a novel design approach of a Petri-net-based cyber-physical system (CPS). The idea is oriented toward implementation in a field-programmable gate array (FPGA).
Remigiusz Wiśniewski +2 more
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