Mathematical Modelling and Applications

Volume 5, Issue 3, September 2020

  • Lipid Concentration Effect on Blood Flow Through an Inclined Arterial Channel with Magnetic Field

    Kubugha Wilcox Bunonyo, Emeka Amos

    Issue: Volume 5, Issue 3, September 2020
    Pages: 129-137
    Received: 8 May 2020
    Accepted: 22 May 2020
    Published: 4 June 2020
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    Abstract: The purpose of this research is to formulate mathematical models to investigate lipid concentration effect on blood flow though an inclined arterial channel with magnetic field. The formulated coupled partial differential equations were made dimensionless and reduced to ordinary differential equation using a perturbation technique, the nonlinear or... Show More
  • Mathematics as a Tool for Efficient Fishery Management and Economic Growth in Gashua, Yobe State, Nigeria

    Anthony Anya Okeke, Ahmed Dauda Abubakar, Jerimiah Jerry Gambo, Phidelia Ramatu Waziri-Ugwu

    Issue: Volume 5, Issue 3, September 2020
    Pages: 138-145
    Received: 4 May 2020
    Accepted: 25 May 2020
    Published: 16 June 2020
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    Abstract: In this research, we propose the use of mathematical models in determining harvesting strategies for fish farming. The work considered three logistic growth models, namely constant harvesting, periodic harvesting, and proportional harvesting model. For each of the scheme, it is estimated the optimal amount of fish harvested to protect the populatio... Show More
  • Modelling the Dynamics of COVID-19 Disease with Contact Tracing and Isolation in Ghana

    Eric Neebo Wiah, Ernest Danso-Addo, Daniel Ekow Bentil

    Issue: Volume 5, Issue 3, September 2020
    Pages: 146-155
    Received: 9 June 2020
    Accepted: 23 June 2020
    Published: 6 July 2020
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    Abstract: We have formulated a mathematical model to investigate the transmission dynamics of the current novel COVID-19 disease outbreak in Ghana. The coronavirus originated from Wuhan,, China. Majority of people who contact the disease experience mild to moderate respiratory illness and recover. The elderly and people with underlying health issues experien... Show More
  • Modeling and Stability Analysis of a Three Species Ecosystem with the Third Species Response to the First Species in Sigmoid Functional Response Form

    Geremew Kenassa Edessa, Purnachandra Rao Koya

    Issue: Volume 5, Issue 3, September 2020
    Pages: 156-166
    Received: 1 May 2020
    Accepted: 18 June 2020
    Published: 4 August 2020
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    Abstract: In this paper, a three species eco system, involving three pairs is considered modeled to examine the stability. Among the three species, one plays dual roles which are a host and an enemy with Monod response. In the first place model assumptions and formulation was carried out for investigations. The biological feasibility of the system is checked... Show More
  • Modelling of Malaria Transmission Using Delay Differential Equation

    Kipkirui Mibei, Kirui Wesley, Adicka Daniel

    Issue: Volume 5, Issue 3, September 2020
    Pages: 167-175
    Received: 10 May 2020
    Accepted: 14 July 2020
    Published: 4 August 2020
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    Abstract: Malaria is one of the major causes of deaths and ill health in endemic regions of sub-Saharan Africa and beyond despite efforts made to prevent and control its spread. Epidemiological models on how malaria is spread have made a substantial contribution on the understanding of disease changing aspects. Previous researchers have used Susceptible –Exp... Show More
  • Mathematical Modeling of Covid-19 Disease Dynamics and Analysis of Intervention Strategies

    Rotich Kiplimo Titus, Lagat Robert Cheruiyot, Choge Paul Kipkurgat

    Issue: Volume 5, Issue 3, September 2020
    Pages: 176-182
    Received: 17 July 2020
    Accepted: 29 July 2020
    Published: 10 August 2020
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    Abstract: Covid-19 is a highly prevalent contagious disease, with high fatalities. With the absence of a one bullet drug or vaccine, infected individual is highly likely to die within a short time. The transmission and progression of Covid-19 can be described using distinct stages, namely exposure and latency, infectiousness, and recovery with waning immunit... Show More
  • Mathematical Eco-Epidemiological Model on Prey-Predator System

    Abayneh Fentie Bezabih, Geremew Kenassa Edessa, Purnachandra Rao Koya

    Issue: Volume 5, Issue 3, September 2020
    Pages: 183-190
    Received: 2 June 2020
    Accepted: 23 June 2020
    Published: 20 August 2020
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    Abstract: This paper presents infectious disease in prey-predator system. In the present work, a three Compartment mathematical eco-epidemiology model consisting of susceptible prey- infected prey and predator are formulated and analyzed. The positivity, boundedness, and existence of the solution of the model are proved. Equilibrium points of the models are ... Show More
  • Modeling the Transmission and Dynamics of COVID-19 Using Self-protection and Isolation as Control Measures

    Demsis Dejene, Tesfaye Worku, Purnachandra Rao Koya

    Issue: Volume 5, Issue 3, September 2020
    Pages: 191-201
    Received: 8 June 2020
    Accepted: 28 June 2020
    Published: 16 September 2020
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    Abstract: In this paper, a deterministic five compartmental mathematical model is developed and conducted simulations to study the dynamics of COVID-19 with the inclusion of self-protection and isolation as control measures. The model is shown mathematically and biologically valid by verifying that the solutions are both positive and bounded. Using next gene... Show More