Special lssues
Table of Content

Recent Developments on Computational Biology-I

Submission Deadline: 31 May 2023 (closed)

Guest Editors

Prof. Carlo Cattani, Tuscia University, Italy
Prof. Haci Mehmet Baskonus, Harran University, Turkey
Prof. Armando Ciancio, University of Messina, Italy


In modern time, experts started to use interdisciplinary properties with the developing of technology and science. Thus, these disciplines provide more sophisticated properties of real-world problems. In this sense, some models need to be investigated by using revised and modified traditional methods. The first discipline is the applied sciences such as physics, engineering, mechanics, electricity, biology, economy and mathematical applications. In this stage, many methods are developed and modified. To uncover the deep properties of problems is to use the main properties of such interdisciplinary properties. Furthermore, works conducted on such mathematical models including non-local operators, partial, ordinary and integer order have introduced a deeper investigations of problem for experts. By using technological tools, experts may observe more realistic and exact results of models.

This Special Issue is to render possible more investigation about the epidemiological properties of such models arising in nature based on non-local differential both theoretical and application aspects.

Topics of interest are given by the following fields and papers related to such fields are welcome.

•New epidemiological mathematical models

•Computational methods for differential equations with non-local operators

•New analytical and numerical methods to solve partial differential equations

•Analysis of Electrical engineering, epidemiological models

•Computer science on epidemiological models

•Deterministic and stochastic order models with non-local operators

•Non-local operator and application and physics

•Analytical and numerical methods for real-world problems

•Nonlinear dynamical complex system

•Systems analysis, simulation, design, and modelling

•Optimization Techniques

•Computer and Mathematical Modelling


Mathematical models with integer, fractional and variable order; Analytical and Numerical methods; Approximate and exact properties of nonlinear partial differential models; Approximate Methods; Simulations of the wave distributions.

Published Papers

  • Open Access


    Novel Investigation of Stochastic Fractional Differential Equations Measles Model via the White Noise and Global Derivative Operator Depending on Mittag-Leffler Kernel

    Saima Rashid, Fahd Jarad
    CMES-Computer Modeling in Engineering & Sciences, DOI:10.32604/cmes.2023.028773
    (This article belongs to this Special Issue: Recent Developments on Computational Biology-I)
    Abstract Because of the features involved with their varied kernels, differential operators relying on convolution formulations have been acknowledged as effective mathematical resources for modeling real-world issues. In this paper, we constructed a stochastic fractional framework of measles spreading mechanisms with dual medication immunization considering the exponential decay and Mittag-Leffler kernels. In this approach, the overall population was separated into five cohorts. Furthermore, the descriptive behavior of the system was investigated, including prerequisites for the positivity of solutions, invariant domain of the solution, presence and stability of equilibrium points, and sensitivity analysis. We included a stochastic element in every cohort and… More >

  • Open Access


    Fractal Fractional Order Operators in Computational Techniques for Mathematical Models in Epidemiology

    Muhammad Farman, Ali Akgül, Mir Sajjad Hashemi, Liliana Guran, Amelia Bucur
    CMES-Computer Modeling in Engineering & Sciences, Vol.138, No.2, pp. 1385-1403, 2024, DOI:10.32604/cmes.2023.028803
    (This article belongs to this Special Issue: Recent Developments on Computational Biology-I)
    Abstract New fractional operators, the COVID-19 model has been studied in this paper. By using different numerical techniques and the time fractional parameters, the mechanical characteristics of the fractional order model are identified. The uniqueness and existence have been established. The model’s Ulam-Hyers stability analysis has been found. In order to justify the theoretical results, numerical simulations are carried out for the presented method in the range of fractional order to show the implications of fractional and fractal orders. We applied very effective numerical techniques to obtain the solutions of the model and simulations. Also, we present conditions of existence for… More >

  • Open Access


    Construction of a Computational Scheme for the Fuzzy HIV/AIDS Epidemic Model with a Nonlinear Saturated Incidence Rate

    Muhammad Shoaib Arif, Kamaleldin Abodayeh, Yasir Nawaz
    CMES-Computer Modeling in Engineering & Sciences, Vol.138, No.2, pp. 1405-1425, 2024, DOI:10.32604/cmes.2023.028946
    (This article belongs to this Special Issue: Recent Developments on Computational Biology-I)
    Abstract This work aimed to construct an epidemic model with fuzzy parameters. Since the classical epidemic model does not elaborate on the successful interaction of susceptible and infective people, the constructed fuzzy epidemic model discusses the more detailed versions of the interactions between infective and susceptible people. The next-generation matrix approach is employed to find the reproduction number of a deterministic model. The sensitivity analysis and local stability analysis of the system are also provided. For solving the fuzzy epidemic model, a numerical scheme is constructed which consists of three time levels. The numerical scheme has an advantage over the existing… More >

  • Open Access


    An Efficient Numerical Scheme for Biological Models in the Frame of Bernoulli Wavelets

    Fei Li, Haci Mehmet Baskonus, S. Kumbinarasaiah, G. Manohara, Wei Gao, Esin Ilhan
    CMES-Computer Modeling in Engineering & Sciences, Vol.137, No.3, pp. 2381-2408, 2023, DOI:10.32604/cmes.2023.028069
    (This article belongs to this Special Issue: Recent Developments on Computational Biology-I)
    Abstract This article considers three types of biological systems: the dengue fever disease model, the COVID-19 virus model, and the transmission of Tuberculosis model. The new technique of creating the integration matrix for the Bernoulli wavelets is applied. Also, the novel method proposed in this paper is called the Bernoulli wavelet collocation scheme (BWCM). All three models are in the form system of coupled ordinary differential equations without an exact solution. These systems are converted into a system of algebraic equations using the Bernoulli wavelet collocation scheme. The numerical wave distributions of these governing models are obtained by solving the algebraic… More >

  • Open Access


    A Restricted SIR Model with Vaccination Effect for the Epidemic Outbreaks Concerning COVID-19

    Ibtehal Alazman, Kholoud Saad Albalawi, Pranay Goswami, Kuldeep Malik
    CMES-Computer Modeling in Engineering & Sciences, Vol.137, No.3, pp. 2409-2425, 2023, DOI:10.32604/cmes.2023.028674
    (This article belongs to this Special Issue: Recent Developments on Computational Biology-I)
    Abstract This paper presents a restricted SIR mathematical model to analyze the evolution of a contagious infectious disease outbreak (COVID-19) using available data. The new model focuses on two main concepts: first, it can present multiple waves of the disease, and second, it analyzes how far an infection can be eradicated with the help of vaccination. The stability analysis of the equilibrium points for the suggested model is initially investigated by identifying the matching equilibrium points and examining their stability. The basic reproduction number is calculated, and the positivity of the solutions is established. Numerical simulations are performed to determine if… More >

  • Open Access


    Dynamical Analysis of the Stochastic COVID-19 Model Using Piecewise Differential Equation Technique

    Yu-Ming Chu, Sobia Sultana, Saima Rashid, Mohammed Shaaf Alharthi
    CMES-Computer Modeling in Engineering & Sciences, Vol.137, No.3, pp. 2427-2464, 2023, DOI:10.32604/cmes.2023.028771
    (This article belongs to this Special Issue: Recent Developments on Computational Biology-I)
    Abstract Various data sets showing the prevalence of numerous viral diseases have demonstrated that the transmission is not truly homogeneous. Two examples are the spread of Spanish flu and COVID-19. The aim of this research is to develop a comprehensive nonlinear stochastic model having six cohorts relying on ordinary differential equations via piecewise fractional differential operators. Firstly, the strength number of the deterministic case is carried out. Then, for the stochastic model, we show that there is a critical number that can predict virus persistence and infection eradication. Because of the peculiarity of this notion, an interesting way… More >

  • Open Access


    Computational Modeling of Reaction-Diffusion COVID-19 Model Having Isolated Compartment

    Muhammad Shoaib Arif, Kamaleldin Abodayeh, Asad Ejaz
    CMES-Computer Modeling in Engineering & Sciences, Vol.135, No.2, pp. 1719-1743, 2023, DOI:10.32604/cmes.2022.022235
    (This article belongs to this Special Issue: Recent Developments on Computational Biology-I)
    Abstract Cases of COVID-19 and its variant omicron are raised all across the world. The most lethal form and effect of COVID-19 are the omicron version, which has been reported in tens of thousands of cases daily in numerous nations. Following WHO (World health organization) records on 30 December 2021, the cases of COVID-19 were found to be maximum for which boarding individuals were found 1,524,266, active, recovered, and discharge were found to be 82,402 and 34,258,778, respectively. While there were 160,989 active cases, 33,614,434 cured cases, 456,386 total deaths, and 605,885,769 total samples tested. So far, 1,438,322,742 individuals have been… More >

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