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Theory and Modern Applications

Advances in Continuous and Discrete Models Cover Image

Articles

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  1. The recently derived Hybrid-Incidence Susceptible-Transmissible-Removed (HI-STR) prototype is a deterministic compartment model for epidemics and an alternative to the Susceptible-Infected-Removed (SIR) model....

    Authors: Ryan Benjamin
    Citation: Advances in Continuous and Discrete Models 2023 2023:46
  2. This article proves a stability theorem for the disease-free equilibrium of a stochastic differential equations model of malaria disease dynamics. The theorem is formulated in terms of an invariant which is si...

    Authors: Peter J. Witbooi, Sibaliwe Maku Vyambwera, Garth J. van Schalkwyk and Grant E. Muller
    Citation: Advances in Continuous and Discrete Models 2023 2023:45
  3. In this paper, we consider the Fourier spectral method and numerical investigation for a class of modified Zakharov system with high-order space fractional quantum correction. First, the numerical scheme of th...

    Authors: Tao Guo, Aiguo Xiao, Junjie Wang and Xueyang Li
    Citation: Advances in Continuous and Discrete Models 2023 2023:44
  4. The dynamics of a discrete Holling–Tanner model with Beddington–DeAngelis functional response is studied. The permanence and local stability of fixed points for the model are derived. The center manifold theor...

    Authors: Run Yang and Jianglin Zhao
    Citation: Advances in Continuous and Discrete Models 2023 2023:41
  5. We present two results on the analysis of discrete dynamical systems and finite difference discretizations of continuous dynamical systems, which preserve their dynamics and essential properties. The first res...

    Authors: Roumen Anguelov and Jean M.-S. Lubuma
    Citation: Advances in Continuous and Discrete Models 2023 2023:38
  6. The exchange option, which has two correlated underlying assets, is one of the most popular exotic options in the over-the-counter markets. This paper studies the valuation of exchange options with default ris...

    Authors: Jaegi Jeon, Jeonggyu Huh and Geonwoo Kim
    Citation: Advances in Continuous and Discrete Models 2023 2023:37
  7. In this paper, we establish sufficient criteria for ensuring the existence of solutions and uniqueness for a class of nonlinear neutral Caputo fractional differential equations supplemented with infinite delay...

    Authors: Madeaha Alghanmi and Shahad Alqurayqiri
    Citation: Advances in Continuous and Discrete Models 2023 2023:36
  8. In this paper, we try to recover an unknown source in a time-fractional diffusion equation. In order to overcome the influence of boundary conditions on source conditions, we introduce the Jacobi polynomials t...

    Authors: Hao-Dong Tang, Zhen-Yu Zhao, Kai Yu, Ben-Xue Gong and Xian-Zhen Jia
    Citation: Advances in Continuous and Discrete Models 2023 2023:33
  9. In the present paper, we consider a fractional discrete Schrödinger equation with Kirchhoff term. Through the fountain theorem and the dual fountain theorem, we obtain two different conclusions about infinitel...

    Authors: Chunming Ju, Giovanni Molica Bisci and Binlin Zhang
    Citation: Advances in Continuous and Discrete Models 2023 2023:31
  10. Self-similar finite-time singularity solutions of the axisymmetric Euler equations in an infinite system with a swirl are provided. Using the Elgindi approximation of the Biot–Savart kernel for the velocity in...

    Authors: Rodrigo Cádiz, Diego Martínez-Argüello and Sergio Rica
    Citation: Advances in Continuous and Discrete Models 2023 2023:30
  11. In this paper, a model of branching processes with random control functions and affected by viral infectivity in independent and identically distributed random environments is established, and the Markov prope...

    Authors: Min Ren and Guanghui Zhang
    Citation: Advances in Continuous and Discrete Models 2023 2023:26
  12. This paper investigates the existence of positive periodic solutions for a periodic predator-prey model with fear effect and general functional responses. The general functional responses can cover the Holling...

    Authors: Ke Guo and Wanbiao Ma
    Citation: Advances in Continuous and Discrete Models 2023 2023:22
  13. Motivated by several applications, we investigate the well-posedness of a switched system composed by a system of linear hyperbolic balance laws and by a system of linear algebraic differential equations. This...

    Authors: Raul Borsche, Mauro Garavello and Damla Kocoglu
    Citation: Advances in Continuous and Discrete Models 2023 2023:19
  14. The aim of the current work is to generalize the well-known bisection method using quantum calculus approach. The results for different values of quantum parameter q are analyzed, and the rate of convergence for ...

    Authors: Ghazala Gulshan, Hüseyin Budak, Rashida Hussain and Asad Sadiq
    Citation: Advances in Continuous and Discrete Models 2023 2023:18
  15. We claim that human mathematics is only a limited part of the consequences of the chosen basic axioms. Properly human mathematics varies with time but appears to have universal features which we try to analyse...

    Authors: David Ruelle
    Citation: Advances in Continuous and Discrete Models 2023 2023:17
  16. Although I had not previously been aware of Jean Ginibre’s work on random matrices, beginning in 1978 I became an admirer of his many papers on nonlinear waves in collaboration with Giorgio Velo. Their papers ...

    Authors: Walter A. Strauss
    Citation: Advances in Continuous and Discrete Models 2023 2023:16
  17. In this paper, we propose a high-order nonlinear algorithm based on a finite difference method modification to the regularized long wave equation and the Benjamin–Bona–Mahony–Burgers equation subject to the ho...

    Authors: Kanyuta Poochinapan and Ben Wongsaijai
    Citation: Advances in Continuous and Discrete Models 2023 2023:13
  18. In this paper, we are concerned with the stabilization of hybrid stochastic systems with variable delay by discrete-time state feedback control. By using Lyapunov functionals, we obtain an upper bound

    Authors: Wei Mao, Xiao Xiao, Liangliang Miao and Liangjian Hu
    Citation: Advances in Continuous and Discrete Models 2023 2023:12
  19. This paper considers a one-dimensional thermoelastic Timoshenko beam system with suspenders, general weak internal damping with time varying coefficient, and time-varying delay terms. Under suitable conditions...

    Authors: Soh Edwin Mukiawa, Cyril Dennis Enyi and Salim A. Messaoudi
    Citation: Advances in Continuous and Discrete Models 2023 2023:7
  20. The goal of this article is to present a recently developed numerical approach for solving fractional stochastic differential equations with a singular Caputo kernel and a nonsingular Caputo–Fabrizio and Atang...

    Authors: Aisha F. Fareed, Menna T. M. Elbarawy and Mourad S. Semary
    Citation: Advances in Continuous and Discrete Models 2023 2023:5
  21. The history of the long-standing scientific collaboration between Jean Ginibre and Giorgio Velo is presented. The most important results obtained for a number of nonlinear dispersive partial differential equat...

    Authors: Giorgio Velo
    Citation: Advances in Continuous and Discrete Models 2023 2023:3

Annual Journal Metrics

  • 2022 Citation Impact
    4.1 - 2-year Impact Factor
    2.9 - 5-year Impact Factor
    1.702 - SNIP (Source Normalized Impact per Paper)
    0.672 - SJR (SCImago Journal Rank)

    2022 Speed
    12 days submission to first editorial decision for all manuscripts (Median)
    235 days submission to accept (Median)

    2022 Usage 
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