Forthcoming Articles

International Journal of Dynamical Systems and Differential Equations

International Journal of Dynamical Systems and Differential Equations (IJDSDE)

Forthcoming articles have been peer-reviewed and accepted for publication but are pending final changes, are not yet published and may not appear here in their final order of publication until they are assigned to issues. Therefore, the content conforms to our standards but the presentation (e.g. typesetting and proof-reading) is not necessarily up to the Inderscience standard. Additionally, titles, authors, abstracts and keywords may change before publication. Articles will not be published until the final proofs are validated by their authors.

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International Journal of Dynamical Systems and Differential Equations (4 papers in press)

Regular Issues

  • Dynamical Behaviour of a Higher Order Rational Recursive Sequence   Order a copy of this article
    by Abdul Khaliq, Muhammad Shabbir, Lubna Mustafa, Shaheryar Rustam 
    Abstract: This paper examines the dynamical behaviour of a rational recursive sequence of higher order given by xk+1 = (11xk + 12xk + 13xk + 14xk#)/(15xk + 16xk + 17xk + 18xk#), where the initial conditions xi, i = n, n + 1, ..., 0 with n = maxf, , #g are positive real numbers and i 2 R+, i = 11, 12, :::, 18. We derive sufficient conditions for local stability, boundedness, periodicity, and global stability of the system. This study enriches the qualitative theory of rational difference equations by extending stability and periodicity analysis to higher order systems. We examine the existence and absence of 2-cycle periodic solutions under different parameter settings. The analytical results are further supported and illustrated through numerical simulations.
    Keywords: Difference equations; stability; boundedness; periodic solution.
    DOI: 10.1504/IJDSDE.2025.10074353
     
  • Business Model Innovation Strategies of Enterprises in the Tourism Economy Based on Bayesian Networks and Deep Learning Models under the Influence of Organisational Inertia   Order a copy of this article
    by Huiting Wang, Jiayi Yu, Tiantian Qu, Jiaqian Liu 
    Abstract: This study integrates Bayesian Network (BN) and Deep Learning (DL) models to create a framework for analysing the impact of organizational inertia on business model innovation strategies in the tourism economy. It also employs Artificial Intelligence (AI) technology to optimize innovation decisions. By comparing models such as Graph Neural Network (GNN), Transformer, and Reinforcement Learning (RL), the study demonstrates the multi-dimensional performance advantages of the optimized BN model. The experiment focuses on core indicators, including innovation investment ratio, market response speed, innovation success rate, revenue growth rate, customer satisfaction, and competitiveness index in the tourism economy. These results suggest that the optimised model is highly adaptable and effective in addressing organisational inertia and enhancing innovation strategies for enterprises operating in the tourism economy.
    Keywords: Organisational inertia; Bayesian network; Business model; Economic creative strategy; Deep learning; Artificial intelligence; tourism economy.
    DOI: 10.1504/IJDSDE.2025.10074584
     
  • Application of Multimedia AR Technology in Mathematical Modelling   Order a copy of this article
    by Hongyan Shi 
    Abstract: The rapid development of computer technology has profoundly influenced many disciplines. Computer technology simplifies many problems, increases speed and accuracy, and extends the application of mathematical modelling problems. As a discipline rooted in mathematics, computer science integrates with mathematical modelling to support practical problem solving and socioeconomic development. In the new era, the training objectives of mathematical modelling in China have evolved. This study examined the role of multimedia augmented reality (AR) technology in computer-based mathematical modelling. Multimedia AR technology was applied, and its advantages were analysed. Results showed that the highest scores in Class A and Class B before the experiment were 49. After the experiment, the highest scores of Class A and Class B were 47 and 78, respectively. The grade of Class A did not change much, but that of Class B improved remarkably. These findings suggest that multimedia AR technology holds considerable value for research in computer mathematical modelling.
    Keywords: Multimedia Technology; Mathematical Modeling; Biological Filtering Algorithm; Augmented Reality.
    DOI: 10.1504/IJDSDE.2025.10074906
     
  • Numerical Solutions for High-Order Fractional Local Initial Boundary Value Problems   Order a copy of this article
    by Rachid Belgasem, Ahmed Boukhari, Salih Djilali, Djelloul Ziane 
    Abstract: The primary objective of this research is to employ the local fractional Sumudu transform decomposition method (LFSTDM) for solving higher-dimensional linear and nonlinear initial boundary value problems (IBVP) characterised by variable coefficients and fractional local derivatives. The findings demonstrate the efficacy of this method in deriving non-differentiable solutions for established problems involving local fractional derivatives. By effectively reducing computational workload, the LFSTDM emerges as a promising approach for addressing such challenges. The following problem is considered: LmU(r;  ) + RU(r;  ) + NU(r;  ) = g(r;  ).
    Keywords: Initial boundary value problem; local fractional derivative; Sumudu transform.
    DOI: 10.1504/IJDSDE.2025.10074920
     

 

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