American Journal of Applied Mathematics

Volume 6, Issue 3, June 2018

  • Modeling and Simulation Study of the Population Dynamics of Commensal-Host-Parasite System

    Geremew Kenassa Edessa, Boka Kumsa, Purnachandra Rao Koya

    Issue: Volume 6, Issue 3, June 2018
    Pages: 97-108
    Received: Apr. 30, 2018
    Accepted: Jun. 01, 2018
    Published: Jul. 05, 2018
    Downloads:
    Views:
    Abstract: This paper deals with the modeling and simulation study of Commensal-host species system together with the inclusion of parasite population. The model comprises of three populations viz. Host, Commensal and Parasite. The Commensal population gets benefit from Host population but the former do not do any harm to the latter. The parasite population g... Show More
  • Modeling and Simulation Study of Mutuality Interactions with Type II functional Response and Harvesting

    Solomon Tolcha, Boka Kumsa, Purnachandra Rao Koya

    Issue: Volume 6, Issue 3, June 2018
    Pages: 109-116
    Received: May 25, 2018
    Accepted: Jun. 26, 2018
    Published: Jul. 31, 2018
    Downloads:
    Views:
    Abstract: This paper deals with the study of mutuality interactions between two species population with type II functional response and also with the inclusion of harvesting. Harvesting functions are introduced to express the rate of reductions of the species separately. Mathematical model have been constructed and considered for the analysis and results. In... Show More
  • The Impact of Susceptible Human Immigrants on the Spread and Dynamics of Malaria Transmission

    Alemu Geleta Wedajo, Boka Kumsa Bole, Purnachandra Rao Koya

    Issue: Volume 6, Issue 3, June 2018
    Pages: 117-127
    Received: May 25, 2018
    Accepted: Jun. 26, 2018
    Published: Aug. 02, 2018
    Downloads:
    Views:
    Abstract: Malaria is one of infectious diseases and has become the most public health issue especially in developing countries. Mathematically, the spread of malaria can be modeled to predict the dynamics of the outbreak of the disease. The present research studies the impact of migration of susceptible population on the dynamics of malaria transmission. In ... Show More
  • Analysis of Potential of Inbound Tourism for Major Sources of Tourists and Influencing Factors in China

    Wenrong Pan, Ying Liu, Jiang Tong

    Issue: Volume 6, Issue 3, June 2018
    Pages: 128-134
    Received: Jul. 21, 2018
    Accepted: Aug. 01, 2018
    Published: Aug. 29, 2018
    Downloads:
    Views:
    Abstract: Since 2015, the inbound visitors of most sources of tourists such as Japan, Russia and Malaysia in China have been on a growing decrease. While the inbound visitors of some sources of tourists such as the United States, Germany and Thailand have only shown some subtle changes. Therefore, China’s inbound tourism is facing an increasingly great downw... Show More