Mathematical Modelling and Applications

Volume 4, Issue 1, March 2019

  • Stability and Bifurcation Analysis of a Fishery Model with Allee Effects

    Makwata Harun, Lawi George, Akinyi Colleta, Adu Wasike

    Issue: Volume 4, Issue 1, March 2019
    Pages: 1-9
    Received: Mar. 13, 2019
    Accepted: Apr. 26, 2019
    Published: May 20, 2019
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    Abstract: We study the equilibrium point (n*, E*) of the fishery model with Allee effect in its population growth dynamics. The Allee effect is considered to be induced by the harvesting of the fish stock. The aggregated model is a set of two differential equations with the fish population and harvesting effort as the dependent variables, with the market pri... Show More
  • Modeling the Age-Dependent Infectiousness of Diseases: An Integral Equation Approach

    Rathgama Guruge Uma Indeewari Meththananda, Naleen Chaminda Ganegoda, Shyam Sanjeewa Nishantha Perera

    Issue: Volume 4, Issue 1, March 2019
    Pages: 10-14
    Received: Mar. 30, 2019
    Accepted: May 14, 2019
    Published: Jun. 04, 2019
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    Abstract: Many mathematical models developed through differential equations to describe the age dependent infectiousness of diseases, face the complexity of modelling heterogenic behavior of transmission. There, many of the cases assume the host to stay in the same risk class regardless of the age of the hosts. The proposed model mimics the infectiousness ac... Show More