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  • Open Access


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

    Muhammad Shoaib Arif1,2,*, Kamaleldin Abodayeh1, Asad Ejaz2

    CMES-Computer Modeling in Engineering & Sciences, Vol.135, No.2, pp. 1719-1743, 2023, DOI:10.32604/cmes.2022.022235

    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 >

  • Open Access


    Dynamical Transmission of Coronavirus Model with Analysis and Simulation

    Muhammad Farman1, Ali Akgül2,*, Aqeel Ahmad1, Dumitru Baleanu3,4,5, Muhammad Umer Saleem6

    CMES-Computer Modeling in Engineering & Sciences, Vol.127, No.2, pp. 753-769, 2021, DOI:10.32604/cmes.2021.014882

    Abstract COVID-19 acts as a serious challenge to the whole world. Epidemiological data of COVID-19 is collected through media and web sources to analyze and investigate a system of nonlinear ordinary differential equation to understand the outbreaks of this epidemic disease. We analyze the diseases free and endemic equilibrium point including stability of the model. The certain threshold value of the basic reproduction number R0 is found to observe whether population is in disease free state or endemic state. Moreover, the epidemic peak has been obtained and we expect a considerable number of cases. Finally, some numerical results are presented which… More >

  • Open Access


    Numerical Analysis of Novel Coronavirus (2019-nCov) Pandemic Model with Advection

    Shumaila Azam1, Nauman Ahmed1,6, Ali Raza2, Muhammad Sajid Iqbal1, Muhammad Rafiq3, Ilyas Khan4,*, Kottakkaran Sooppy Nisar5, Muhammad Ozair Ahmad1, Zafar Iqbal1,6

    CMC-Computers, Materials & Continua, Vol.67, No.3, pp. 2933-2953, 2021, DOI:10.32604/cmc.2021.012396

    Abstract Recently, the world is facing the terror of the novel corona-virus, termed as COVID-19. Various health institutes and researchers are continuously striving to control this pandemic. In this article, the SEIAR (susceptible, exposed, infected, symptomatically infected, asymptomatically infected and recovered) infection model of COVID-19 with a constant rate of advection is studied for the disease propagation. A simple model of the disease is extended to an advection model by accommodating the advection process and some appropriate parameters in the system. The continuous model is transposed into a discrete numerical model by discretizing the domains, finitely. To analyze the disease dynamics,… More >

  • Open Access


    Dynamical Analysis of a Fractional-order HIV Model

    Haiping Ye1, Yongsheng Ding2

    CMES-Computer Modeling in Engineering & Sciences, Vol.49, No.3, pp. 255-268, 2009, DOI:10.3970/cmes.2009.049.255

    Abstract A fractional-order model for the immunological and therapeutic control of HIV is studied qualitatively. The equilibria are found and their local stability are investigated. Also the global stability of the infection-free equilibrium is established. The optimal efficacy level of anti-retroviral therapy needed to eradicate HIV from the body of an HIV-infected individual is obtained. More >

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