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Theory and Modern Applications

Advances in Continuous and Discrete Models Cover Image

Articles

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  1. Although the axis-symmetric heteroclinic orbits of Lorenz-like systems have been intensively studied in the past decades, scholars seem to pay scant attention to the centro-symmetric ones. To achieve this targ...

    Authors: Haijun Wang, Jun Pan, Guiyao Ke and Feiyu Hu
    Citation: Advances in Continuous and Discrete Models 2024 2024:14
  2. In this paper, we introduce a biparametrized multiplicative integral identity and employ it to establish a collection of inequalities for multiplicatively convex mappings. These inequalities encompass several ...

    Authors: Assia Frioui, Badreddine Meftah, Ali Shokri, Abdelghani Lakhdari and Herbert Mukalazi
    Citation: Advances in Continuous and Discrete Models 2024 2024:12
  3. In this article, we are working on an SEIR-SI type model for dengue disease in order to better observe the dynamics of infection in human beings. We calculate the basic reproduction number ...

    Authors: Yacouba Yoda, Harouna Ouedraogo, Dramane Ouedraogo and Aboudramane Guiro
    Citation: Advances in Continuous and Discrete Models 2024 2024:11
  4. Research on agricultural pest control data indicates that the actual effectiveness of insecticides may exhibit slight variations, influenced by factors such as the type and quantity of pests. Additionally, the...

    Authors: Wenjie Qin and Zhengjun Dong
    Citation: Advances in Continuous and Discrete Models 2024 2024:10
  5. The coronavirus disease 2019 (COVID-19) presents a severe and urgent threat to global health. In response to the COVID-19 pandemic, many countries have implemented nonpharmaceutical interventions (NPIs), inclu...

    Authors: Hongyu Zhang and Shuanglin Jing
    Citation: Advances in Continuous and Discrete Models 2024 2024:7
  6. Breast cancer is the most common type of cancer in women. Chemotherapy is primarily used for patients with stage 2 to 4 breast cancer. Most chemotherapy drugs are effective at destroying rapidly growing and pr...

    Authors: Hajar Mohammadpoor, Nasrin Eghbali, Leila Sajedi and Monireh Nosrati Sahlan
    Citation: Advances in Continuous and Discrete Models 2024 2024:6
  7. In this paper, we study the solvability and generalized Ulam–Hyers (UH) stability of a nonlinear Atangana–Baleanu–Caputo (ABC) fractional coupled system with a Laplacian operator and impulses. First, this syst...

    Authors: Kaihong Zhao
    Citation: Advances in Continuous and Discrete Models 2024 2024:5
  8. In this paper, the controllability concept of a nonlinear fractional stochastic system involving state-dependent delay and impulsive effects is addressed by employing Caputo derivatives and Mittag-Leffler (ML)...

    Authors: G. Arthi, M. Vaanmathi and Yong-Ki Ma
    Citation: Advances in Continuous and Discrete Models 2024 2024:4
  9. Fabrizio and Caputo suggested an extraordinary definition of fractional derivative, which has been used in many fields. The SIDARTHE infectious disease model with regard to COVID-19 is studied by the new notio...

    Authors: Yu Zhao, Tian-zeng Li, Rong Kang and Xi-liang He
    Citation: Advances in Continuous and Discrete Models 2024 2024:3
  10. Casimir preserving integrators for stochastic Lie–Poisson equations with Stratonovich noise are developed, extending Runge–Kutta Munthe-Kaas methods. The underlying Lie–Poisson structure is preserved along sto...

    Authors: Erwin Luesink, Sagy Ephrati, Paolo Cifani and Bernard Geurts
    Citation: Advances in Continuous and Discrete Models 2024 2024:1
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. 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
  22. 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
  23. 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
  24. 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
  25. 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
  26. 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
  27. 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

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)

    2023 Speed
    18 days submission to first editorial decision for all manuscripts (Median)
    206 days submission to accept (Median)

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