IDEAS home Printed from https://ideas.repec.org/a/hin/jnijde/8921710.html
   My bibliography  Save this article

Some Comparison of Solutions by Different Numerical Techniques on Mathematical Biology Problem

Author

Listed:
  • Susmita Paul
  • Sankar Prasad Mondal
  • Paritosh Bhattacharya
  • Kripasindhu Chaudhuri

Abstract

We try to compare the solutions by some numerical techniques when we apply the methods on some mathematical biology problems. The Runge-Kutta-Fehlberg (RKF) method is a promising method to give an approximate solution of nonlinear ordinary differential equation systems, such as a model for insect population, one-species Lotka-Volterra model. The technique is described and illustrated by numerical examples. We modify the population models by taking the Holling type III functional response and intraspecific competition term and hence we solve it by this numerical technique and show that RKF method gives good results. We try to compare this method with the Laplace Adomian Decomposition Method (LADM) and with the exact solutions.

Suggested Citation

  • Susmita Paul & Sankar Prasad Mondal & Paritosh Bhattacharya & Kripasindhu Chaudhuri, 2016. "Some Comparison of Solutions by Different Numerical Techniques on Mathematical Biology Problem," International Journal of Differential Equations, Hindawi, vol. 2016, pages 1-14, December.
    • Handle: RePEc:hin:jnijde:8921710
    DOI: 10.1155/2016/8921710
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/IJDE/2016/8921710.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/IJDE/2016/8921710.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2016/8921710?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Animesh Mahata & Sankar Prasad Mondal & Banamali Roy & Shariful Alam, 2021. "Study of two species prey-predator model in imprecise environment with MSY policy under different harvesting scenario," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 23(10), pages 14908-14932, October.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jnijde:8921710. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.