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  • Open Access

    ARTICLE

    Regarding on the Fractional Mathematical Model of Tumour Invasion and Metastasis

    P. Veeresha1, Esin Ilhan2, D. G. Prakasha3, Haci Mehmet Baskonus4, Wei Gao5,*

    CMES-Computer Modeling in Engineering & Sciences, Vol.127, No.3, pp. 1013-1036, 2021, DOI:10.32604/cmes.2021.014988 - 24 May 2021

    Abstract In this paper, we analyze the behaviour of solution for the system exemplifying model of tumour invasion and metastasis by the help of q-homotopy analysis transform method (q-HATM) with the fractional operator. The analyzed model consists of a system of three nonlinear differential equations elucidating the activation and the migratory response of the degradation of the matrix, tumour cells and production of degradative enzymes by the tumour cells. The considered method is graceful amalgamations of q-homotopy analysis technique with Laplace transform (LT), and Caputo–Fabrizio (CF) fractional operator is hired in the present study. By using the More >

  • Open Access

    ARTICLE

    Describe the Mathematical Model for Exchanging Waves Between Bacterial and Cellular DNA

    Mohamed S. Mohamed1,*, Sayed K. Elagan1, Saad J. Almalki1, Muteb R. Alharthi1, Mohamed F. El-Badawy2, Amr M. S. Mahdy1

    CMC-Computers, Materials & Continua, Vol.68, No.3, pp. 3615-3628, 2021, DOI:10.32604/cmc.2021.017208 - 06 May 2021

    Abstract In this article, we have shown that bacterial DNA could act like some coils which interact with coil-like DNA of host cells. By decreasing the separating distance between two bacterial cellular DNA, the interaction potential, entropy, and the number of microstates of the system grow. Moreover, the system gives its energy to the medium and the temperature of the host body grows. This could be seen as fever in diseases. By emitting some special waves and changing the temperature of the medium, the effects of bacterial waves could be reduced and bacterial diseases could be… More >

  • Open Access

    ARTICLE

    Mathematical Model Validation of Search Protocols in MP2P Networks

    Ajay Arunachalam1,*, Vinayakumar Ravi2, Moez Krichen3, Roobaea Alroobaea4, Saeed Rubaiee5

    CMC-Computers, Materials & Continua, Vol.68, No.2, pp. 1807-1829, 2021, DOI:10.32604/cmc.2021.016692 - 13 April 2021

    Abstract Broadcasting is a basic technique in Mobile ad-hoc network (MANET), and it refers to sending a packet from one node to every other node within the transmission range. Flooding is a type of broadcast where the received packet is retransmitted once by every node. The naive flooding technique, floods the network with query messages, while the random walk technique operates by contacting the subsets of every node’s neighbors at each step, thereby restricting the search space. One of the key challenges in an ad-hoc network is the resource or content discovery problem which is about… More >

  • Open Access

    ARTICLE

    Modelling and Analysis of Bacteria Dependent Infectious Diseases with Variable Contact Rates

    J. B. Shukla1, Shikha Singh2, Jitendra Singh2, Sunil Kumar Sharma3,*

    CMC-Computers, Materials & Continua, Vol.68, No.2, pp. 1859-1875, 2021, DOI:10.32604/cmc.2021.012095 - 13 April 2021

    Abstract In this research, we proposed a non-linear SIS model to study the effect of variable interaction rates and non-emigrating population of the human habitat on the spread of bacteria-infected diseases. It assumed that the growth of bacteria is logistic with an intrinsic growth rate is a linear function of infectives. In this model, we assume that contact rates between susceptibles and infectives as well as between susceptibles and bacteria depend on the density of the non-emigrating population and the total population of the habitat. The stability theory has been analyzed to analyzed to study the More >

  • Open Access

    ARTICLE

    Analytical Comparison of Resource Search Algorithms in Non-DHT Mobile Peer-to-Peer Networks

    Ajay Arunachalam1,*, Vinayakumar Ravi2, Moez Krichen3, Roobaea Alroobaea4, Jehad Saad Alqurni5

    CMC-Computers, Materials & Continua, Vol.68, No.1, pp. 983-1001, 2021, DOI:10.32604/cmc.2021.015371 - 22 March 2021

    Abstract One of the key challenges in ad-hoc networks is the resource discovery problem. How efficiently & quickly the queried resource/object can be resolved in such a highly dynamic self-evolving network is the underlying question? Broadcasting is a basic technique in the Mobile Ad-hoc Networks (MANETs), and it refers to sending a packet from one node to every other node within the transmission range. Flooding is a type of broadcast where the received packet is retransmitted once by every node. The naive flooding technique floods the network with query messages, while the random walk scheme operates… More >

  • Open Access

    ARTICLE

    A Novel Design of Octal-Valued Logic Full Adder Using Light Color State Model

    Ahmed Talal, Osama Abu-Elnasr*, Samir Elmougy

    CMC-Computers, Materials & Continua, Vol.67, No.3, pp. 3487-3503, 2021, DOI:10.32604/cmc.2021.015759 - 01 March 2021

    Abstract Due to the demand of high computational speed for processing big data that requires complex data manipulations in a timely manner, the need for extending classical logic to construct new multi-valued optical models becomes a challenging and promising research area. This paper establishes a novel octal-valued logic design model with new optical gates construction based on the hypothesis of Light Color State Model to provide an efficient solution to the limitations of computational processing inherent in the electronics computing. We provide new mathematical definitions for both of the binary OR function and the PLUS operation More >

  • Open Access

    ARTICLE

    Numerical Simulations of Hydromagnetic Mixed Convection Flow of Nanofluids inside a Triangular Cavity on the Basis of a Two-Component Nonhomogeneous Mathematical Model

    Khadija A. Al-Hassani1, M. S. Alam2, M. M. Rahman1,*

    FDMP-Fluid Dynamics & Materials Processing, Vol.17, No.1, pp. 1-20, 2021, DOI:10.32604/fdmp.2021.013497 - 09 February 2021

    Abstract Nanofluids have enjoyed a widespread use in many technological applications due to their peculiar properties. Numerical simulations are presented about the unsteady behavior of mixed convection of Fe3O4-water, Fe3O4- kerosene, Fe3O4-ethylene glycol, and Fe3O4-engine oil nanofluids inside a lid-driven triangular cavity. In particular, a two-component non-homogeneous nanofluid model is used. The bottom wall of the enclosure is insulated, whereas the inclined wall is kept a constant (cold) temperature and various temperature laws are assumed for the vertical wall, namely: θ = 1(Case 1), θ = Y(1 – Y)(Case 2), and θ = sin(2πY)(Case 3). A tilted magnetic field of More >

  • Open Access

    ARTICLE

    Design and Optimization of a Hybrid Energy System for Decentralized Heating

    Ling Cheng1,2,3,*, Bingqing Guo1,2, Kecheng Li1,2

    FDMP-Fluid Dynamics & Materials Processing, Vol.17, No.1, pp. 49-70, 2021, DOI:10.32604/fdmp.2021.011062 - 09 February 2021

    Abstract The performances of a hybrid energy system for decentralized heating are investigated. The proposed energy system consists of a solar collector, an air-source heat pump, a gas-fired boiler and a hot water tank. A mathematical model is developed to predict the operating characteristics of the system. The simulation results are compared with experimental data. Such a comparison indicates that the model accuracy is sufficient. The influence of the flat plate solar collector area on the economic and energy efficiency of such system is also evaluated through numerical simulations. Finally, this system is optimized using the More >

  • Open Access

    ARTICLE

    Modeling the COVID-19 Pandemic Dynamics in Iran and China

    Jin Zhao1, Zubair Ahmad2,*, Zahra Almaspoor2

    CMC-Computers, Materials & Continua, Vol.67, No.2, pp. 2111-2122, 2021, DOI:10.32604/cmc.2021.014259 - 05 February 2021

    Abstract The epidemic outbreak COVID-19 was first detected in the Wuhan city of China and then spread worldwide. It is of great interest to the researchers for its high rate of infection spread and its significant number of fatalities. A detailed scientific analysis of this phenomenon is yet to come. However, it is of interest of governments and other responsible institutions to have the right facts and figures to take every possible necessary action such as an arrangement of the appropriate quarantine activities, estimation of the required number of places in hospitals, assessment of the level… More >

  • Open Access

    ARTICLE

    Modeling COVID-19 Pandemic Dynamics in Two Asian Countries

    Jin Zhao1, Zubair Ahmad2,*, Zahra Almaspoor2, M. El-Morshedy3,4, Ahmed Z. Afify5

    CMC-Computers, Materials & Continua, Vol.67, No.1, pp. 965-977, 2021, DOI:10.32604/cmc.2021.014553 - 12 January 2021

    Abstract The current epidemic outbreak COVID-19 first took place in the Wuhan city of China and then spread worldwide. This deadly disease affected millions of people and compelled the governments and other concerned institutions to take serious actions. Around 0.28 million people have died from the COVID-19 outbreak as of May 11, 2020, 05:41 GMT, and the number is still increasing exponentially. The results of any scientific investigation of this phenomenon are still to come. However, now it is urgently needed to evaluate and compare the disease dynamics to improve the quarantine activities and the level… More >

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