Mathematical Modelling and Applications

Volume 5, Issue 2, June 2020

  • Mathematical Modeling of the Transmission Dynamics of Syphilis Disease Using Differential Transformation Method

    Mbachu Hope Ifeyinwa

    Issue: Volume 5, Issue 2, June 2020
    Pages: 47-54
    Received: Feb. 21, 2020
    Accepted: Mar. 09, 2020
    Published: Mar. 24, 2020
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    Abstract: In this work, we developed a mathematical model for the transmission dynamics of the Syphilis disease under some assumptions made. The method of differential transformation is employed to compute an approximation to the solution of the non-linear systems of differential equations for the transmission dynamic of the disease model. The differential t... Show More
  • Population Dynamics of Two Mutuality Preys and One Predator with Harvesting of One Prey and Allowing Alternative Food Source to Predator

    Solomon Tolcha, Boka Kumsa Bole, Purnachandra Rao Koya

    Issue: Volume 5, Issue 2, June 2020
    Pages: 55-64
    Received: Jan. 01, 2020
    Accepted: Mar. 13, 2020
    Published: Mar. 31, 2020
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    Abstract: In this paper, the interactions among three species populations are considered. The system includes two mutuality preys and one predator. The second prey is harvested. While dependent on preys, the predator has an alternative food source also. The three species interaction can be described as a food chain in which two preys help each other but the ... Show More
  • Mathematical Model of the Transmission Dynamics of Lassa Fever Infection with Controls

    Sambo Dachollom, Chinwendu Emilian Madubueze

    Issue: Volume 5, Issue 2, June 2020
    Pages: 65-86
    Received: Feb. 23, 2020
    Accepted: Mar. 16, 2020
    Published: Mar. 31, 2020
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    Abstract: After fifty years of documented history of Lassa fever in Nigeria, the country is still recording the highest record of outbreaks worldwide with Ebonyi state been the most affected state in the whole of Eastern Nigeria. This has activated interventional measures coming from both the government and scholars. The government through the Nigeria Centre... Show More
  • Comparative Study of Various Methods of Handling Missing Data

    Fredrick Ochieng’ Odhiambo

    Issue: Volume 5, Issue 2, June 2020
    Pages: 87-93
    Received: Oct. 02, 2019
    Accepted: Apr. 13, 2020
    Published: Apr. 30, 2020
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    Abstract: Scientific literature lack straight forward answer as to the most suitable method for missing data imputation in terms of simplicity, accuracy and ease of use among the existing methods. Exploration various methods of data imputation is done, and then a robust method of data imputation is proposed. The paper uses simulated data sets generated for v... Show More
  • Mathematical Modelling of Deforestation of Forested Area Due to Lack of Awareness of Human Population and Its Conservation

    Ararso Hussen Teru, Purnachandra Rao Koya

    Issue: Volume 5, Issue 2, June 2020
    Pages: 94-104
    Received: Jan. 03, 2020
    Accepted: Mar. 10, 2020
    Published: May 12, 2020
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    Abstract: As the density of human population increases the forest density will be highly affected by population from time to time for agricultural, industrial, economic purpose, and etc. Because of lack of awareness about the importance of forestry resources, the human populations clear forests for different purposes. Keeping this in mind, a nonlinear mathem... Show More
  • SEIRS Mathematical Model for Malaria with Treatment

    Alemu Geleta Wedajo, Purnachandra Rao Koya, Dereje Legesse Abaire

    Issue: Volume 5, Issue 2, June 2020
    Pages: 105-117
    Received: Jan. 01, 2020
    Accepted: May 05, 2020
    Published: May 28, 2020
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    Abstract: In this paper a deterministic mathematical model for the spread of malaria in human and mosquito populations are presented. The model has a set of eight non – linear differential equations with five state variables for human and three for mosquito populations respectively. Susceptible humans can be infected when they are bitten by an infectious mos... Show More
  • Modeling and Stability Analysis of Host-parasite Population Dynamics

    Geremew Kenassa Edessa, Purnachandra Rao Koya

    Issue: Volume 5, Issue 2, June 2020
    Pages: 118-128
    Received: Jan. 01, 2020
    Accepted: May 05, 2020
    Published: May 28, 2020
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    Abstract: In this study, a mathematical model is developed to explore the population dynamics of two host species. Both the hosts depend on the same resources and the availability of such resources is limited in nature. If the host populations increase abnormally the limited natural resources will be used up. Hence, the concept of parasite is brought in to t... Show More