• Login
    View Item 
    •   ResearchSpace Home
    • College of Agriculture, Engineering and Science
    • School Mathematics, Statistics and Computer Science
    • Applied Mathematics
    • Masters Degrees (Applied Mathematics)
    • View Item
    •   ResearchSpace Home
    • College of Agriculture, Engineering and Science
    • School Mathematics, Statistics and Computer Science
    • Applied Mathematics
    • Masters Degrees (Applied Mathematics)
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    The characteristic approach in determining first integrals of a predator-prey system.

    Thumbnail
    View/Open
    Mahomed_Abu_Bakr_2016.pdf (440.6Kb)
    Date
    2016
    Author
    Mahomed, Abu Bakr.
    Metadata
    Show full item record
    Abstract
    Predator-Prey systems are an intriguing symbiosis of living species that interplay during the fluctuations of birth, growth and death during any period. In the light of understanding the behavioural patterns of the species, models are constructed via differential equations. These differential equations can be solved through a variety of techniques. We focus on applying the characteristic method via the multiplier approach. The multiplier is applied to the differential equation. This leads to a first integral which can be used to obtain a solution for the system under certain initial conditions. We then look at the comparison of first integrals by using two different approaches for various biological models. The method of the Jacobi Last Multiplier is used to obtain a Lagrangian. The Lagrangian can be used via Noether’s Theorem to obtain a first integral for the system.
    URI
    http://hdl.handle.net/10413/15916
    Collections
    • Masters Degrees (Applied Mathematics) [59]

    DSpace software copyright © 2002-2013  Duraspace
    Contact Us | Send Feedback
    Theme by 
    @mire NV
     

     

    Browse

    All of ResearchSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsAdvisorsTypeThis CollectionBy Issue DateAuthorsTitlesSubjectsAdvisorsType

    My Account

    LoginRegister

    DSpace software copyright © 2002-2013  Duraspace
    Contact Us | Send Feedback
    Theme by 
    @mire NV