28Jul 2017

DYNAMICAL BEHAVIORS OF FRACTIONAL ORDER PREY PREDATOR INTERACTIONS.

  • Sacred Heart College, Tirupattur - 635601, S. India .
  • DMI College of Engineering, Chennai - 600123, S. India.
Crossref Cited-by Linking logo
  • Abstract
  • Keywords
  • References
  • Cite This Article as
  • Corresponding Author

This paper investigates the dynamical behavior of a Fractional order Prey ? Predator interaction model. A discretization process is applied to obtain its discrete version. The fixed points are obtained and the stability properties are discussed.


  1. Abd-Elalim A. Elsadany, H. A. EL-Metwally, E. M. Elabbasy, H. N. Agiza, Chaos and bifurcation of a nonlinear discrete prey-predator system, Computational Ecology and Software, 2012, 2(3):169-180.
  2. Berryman A.A, The origins and evolution of predator prey theory. Ecology 73, 15301535 (1992).
  3. George Maria Selvam, R. Janagaraj, R.? Dhineshbabu and Britto Jacob. S, Fractional Order Nonlinear Prey Predator Interactions, International Journal of Computational and Applied Mathematics. ISSN 1819-4966 Volume 12, Number 2 (2017), pp. 495-502 ? Research India Publications http://www.ripublication.com.
  4. Ivo Petras, Fractional order Nonlinear Systems-Modeling, Analysis and Simulation, Higher Education Press, Springer International Edition, April 2010.
  5. Leah Edelstein-Keshet, Mathematical Models in Biology, SIAM, Random House, New York, 2005.
  6. El-Sayed AMA, El-Mesiry A, El-Saka H, On the fractional order logistic equation, Appl. Math. Lett. 20, 817-823 (2007).
  7. El-Sayed AMA, On the fractional differential equations, J. Appl. Math. Comput. 49(2-3), 205-213, (1992).
  8. D. Murray, Mathematical Biology-I: An Introduction, 3-e, Springer International Edition, 2004.
  9. Ravi P Agarwal, Ahmed MA El-Sayed and Sanaa M Salman, Fractional order Chua?s system: discretization, bifurcation and chaos, Agarwal et al. Advances in Difference Equations, 2013, 2013:320.

[A. George maria selvam, R. Dhineshbabu and S. Britto jacob. (2017); DYNAMICAL BEHAVIORS OF FRACTIONAL ORDER PREY PREDATOR INTERACTIONS. Int. J. of Adv. Res. 5 (Jul). 2184-2189] (ISSN 2320-5407). www.journalijar.com


A.George Maria Selvam
Head & Associate Professor, Sacred Heart College, Tirupattur-635 601

DOI:


Article DOI: 10.21474/IJAR01/4958      
DOI URL: http://dx.doi.org/10.21474/IJAR01/4958