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Advances in Continuous and Discrete Models

Theory and Modern Applications

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  1. This paper deals with the long-term behavior of nonlocal Schrödinger lattice systems with multiplicative white noise and their Wong-Zakai approximate systems in weighted spaces. We first prove the existence an...

    Authors: Xintao Li and Xu Wang
    Citation: Advances in Continuous and Discrete Models 2024 2024:45
    Content type: Research Published on:

  2. In the context of rapid urbanization, accurately identifying the visual factors that influence environmental safety perception is crucial for improving urban transportation environments and enhancing pedestria...

    Authors: Chen Pan, Haibo Li, Lu Wang, Jiawei Wu, Jiaming Guo, Nengjie Qiu and Xiaodong Liu
    Citation: Advances in Continuous and Discrete Models 2024 2024:44
    Content type: Research Published on:

  3. 2D magnetotelluric (MT) imaging detects underground structures by measuring electromagnetic fields. This study tackles two issues in the field: traditional methods’ limitations due to insufficient forward mode...

    Authors: Yaohua Luo, Jiachen Li, Xuben Wang, Junjie Zong and Haoyu Tang
    Citation: Advances in Continuous and Discrete Models 2024 2024:43
    Content type: Research Published on:

  4. On rainy days the uncertainty of the shape and distribution of rain streaks can cause the images captured by RGB image-based measurement tools to be blurred and distorted. Thanks to the wavelet transform abili...

    Authors: Wenyin Tao, Xuefeng Yan, Yongzhen Wang and Mingqiang Wei
    Citation: Advances in Continuous and Discrete Models 2024 2024:42
    Content type: Research Published on:

  5. This study introduces a cutting-edge profit health assessment framework that merges signaling theory and agency theory within a data science context, leveraging both financial and nonfinancial indicators to pr...

    Authors: Wen Zhu, Chengcheng Wu, Meiling Li and Fengmin Yao
    Citation: Advances in Continuous and Discrete Models 2024 2024:41
    Content type: Research Published on:

  8. Under the current big topic of enterprise management, how to cultivate, use, and maintain talents is the critical problem of modern human resource management. Based on big data mining, cloud computing, and oth...

    Authors: Shichao Wang
    Citation: Advances in Continuous and Discrete Models 2024 2024:38
    Content type: Research Published on:

  9. We investigate spatiotemporal pattern formation in cancer growth using discrete time and space variables. We first introduce the coupled map lattices (CMLs) model and provide a dynamical analysis of its fixed ...

    Authors: Ying Sun, Jinliang Wang, You Li, Yanhua Zhu, Haokun Tai and Xiangyi Ma
    Citation: Advances in Continuous and Discrete Models 2024 2024:37
    Content type: Research Published on:

  10. Nearly 80% of women are estimated to have at least one HPV infection from high-risk types. Although the majority can clear the infection through their immune system, some are at risk for cervical cancer. Persi...

    Authors: Chunya Liu, Hua Liu, Xinjie Zhu, Xiaofen Lin, Qibin Zhang and Yumei Wei
    Citation: Advances in Continuous and Discrete Models 2024 2024:36
    Content type: Research Published on:

  11. In this paper, biodiversity and a saturation treatment rate are introduced into a type of mosquito-borne infectious disease model with an incubation time delay. Through the dynamical analysis of the model, con...

    Authors: Zongmin Yue and Yingpan Zhang
    Citation: Advances in Continuous and Discrete Models 2024 2024:35
    Content type: Research Published on:

  13. This paper investigates the variational approach using nabla (denoted as ∇) within the framework of time scales. By employing two different methods, we derive the Euler-Lagrange equations for first-order varia...

    Authors: Jie Bai and Zhijun Zeng
    Citation: Advances in Continuous and Discrete Models 2024 2024:33
    Content type: Research Published on:

  15. Emerging infectious diseases, such as COVID-19, manifest in outbreaks of varying magnitudes. For large-scale epidemics, continuous models are often employed for forecasting, while discrete models are preferred...

    Authors: Jiaojiao Wang, Qianqian Zhang and Sanyi Tang
    Citation: Advances in Continuous and Discrete Models 2024 2024:31
    Content type: Research Published on:

  16. In this study, the semi-discretization technique is employed to establish a discrete representation of a modified Leslie-Gower prey-predator system that includes a Holling II type functional response. The dyna...

    Authors: Mianjian Ruan and Xianyi Li
    Citation: Advances in Continuous and Discrete Models 2024 2024:30
    Content type: Research Published on:

  19. Syphilis is a major sexually transmitted disease, causing a significant public health burden for countries all over the world. Since 2000, there has been a new outbreak of the syphilis epidemic in the United S...

    Authors: Huansen Huang, Jinhui Zhang, Zhiheng Zhang, Shuang Li, Quan Zhou and Yong Li
    Citation: Advances in Continuous and Discrete Models 2024 2024:27
    Content type: Research Published on:

  20. Cervical cancer (CC), serving as a primary public health challenge, significantly threatens women’s health. However, in terms of change-points, there is still a lack of epidemiological studies on the incidence...

    Authors: Abidan Ailawaer, Yan Wang, Xayda Abduwali, Lei Wang and Ramziya Rifhat
    Citation: Advances in Continuous and Discrete Models 2024 2024:26
    Content type: Research Published on:

  22. We propose, in this paper, a novel stochastic SIRS epidemic model to characterize the effect of uncertainty on the distribution of infectious disease, where the general incidence rate and Ornstein–Uhlenbeck pr...

    Authors: Hong Cao, Xiaohu Liu and Linfei Nie
    Citation: Advances in Continuous and Discrete Models 2024 2024:24
    Content type: Research Published on:

  23. We study the convergence properties of gradient descent for training deep linear neural networks, i.e., deep matrix factorizations, by extending a previous analysis for the related gradient flow. We show that ...

    Authors: Gabin Maxime Nguegnang, Holger Rauhut and Ulrich Terstiege
    Citation: Advances in Continuous and Discrete Models 2024 2024:23
    Content type: Research Published on:

  26. We investigate a competitive diffusion–advection Lotka–Volterra model with more general nonlinear boundary condition. Based on some new ideas, techniques, and the theory of the principal spectral and monotone ...

    Authors: Genjiao Zhou and Li Ma
    Citation: Advances in Continuous and Discrete Models 2024 2024:20
    Content type: Research Published on:

  30. Industrial development has made air pollution increasingly severe, and many respiratory diseases are closely related to air quality in terms of infection and transmission. In this work, we used the classic sto...

    Authors: Sha He, Yiping Tan and Weiming Wang
    Citation: Advances in Continuous and Discrete Models 2024 2024:16
    Content type: Research Published on:

  31. Here, we consider here Hyperbolic Nonlinear Schrödinger Equations (HNLS) that occur as asymptotic models in the modulational regime when the Hessian of the dispersion relation is not positive (or negative) defini...

    Authors: Jean-Claude Saut and Yuexun Wang
    Citation: Advances in Continuous and Discrete Models 2024 2024:15
    Content type: Research Published on:

  32. 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
    Content type: Research Published on:

  33. This article proposes a class of nonsmooth Filippov pest–predator ecosystems with intermittent control strategies based on the pest’s antipredator behavior. aiming to investigate the influence of control strat...

    Authors: Lidong Huang, Wenjie Qin and Shuai Chen
    Citation: Advances in Continuous and Discrete Models 2024 2024:13
    Content type: Research Published on:

  34. 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
    Content type: Research Published on:

  35. 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
    Content type: Research Published on:

  36. 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
    Content type: Research Published on:

  39. 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
    Content type: Research Published on:

  40. 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
    Content type: Research Published on:

  41. 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
    Content type: Research Published on:

  42. 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
    Content type: Research Published on:

  43. 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
    Content type: Research Published on:

  45. 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
    Content type: Research Published on:

  48. 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
    Content type: Research Published on:

  49. 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
    Content type: Research Published on:

  50. 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
    Content type: Research Published on:
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Annual Journal Metrics

  • Citation Impact 2023
    Journal Impact Factor: 3.1
    5-year Journal Impact Factor: 2.3
    Source Normalized Impact per Paper (SNIP): 1.007
    SCImago Journal Rank (SJR): 0.504

    Speed 2023
    Submission to first editorial decision (median days): 18
    Submission to acceptance (median days): 206

    Usage 2023
    Downloads: 880,067
    Altmetric mentions: 10

  • ISSN: 2731-4235 (electronic)