American Journal of Mathematical and Computer Modelling

Volume 4, Issue 4, December 2019

  • Estimation of Parameters in the SIR Epidemic Model Using Particle Swarm Optimization

    Supriadi Putra, Khozin Mu'tamar, Zulkarnain

    Issue: Volume 4, Issue 4, December 2019
    Pages: 83-93
    Received: 30 September 2019
    Accepted: 25 October 2019
    Published: 30 October 2019
    Abstract: Susceptible, Infected and Resistant (SIR) models are used to observe the spread of infection from infected populations into healthy populations. Stability analysis of the model is done using the Routh-Hurwitz criteria, basic reproduction number or the Lyapunov Stability. For stability analysis, parameters value are needed and these values are usual... Show More
  • The Matching Energy of Random Multipartite Graphs

    Caibing Chang, Bo Deng, Haizhen Ren, Feng Fu

    Issue: Volume 4, Issue 4, December 2019
    Pages: 94-98
    Received: 22 September 2019
    Accepted: 2 December 2019
    Published: 7 December 2019
    Abstract: Let Gn be a simple graph with n vertices. Gutman and Wagner founded the theory of random graphs, they introduced the matching energy of the graph Gn, which was defined as the sum of the absolute values of the eigenvalues of the matching polynomial of the graph Gn. For the Erdös-Rényi type random graph Gn,p of order n with a fixed probability p, whe... Show More