A Discrete Host Commensal Species with Limited Resources and Mortality Rate for the Commensal

  IJMTT-book-cover
 
International Journal of Mathematical Trends and Technology (IJMTT)          
 
© 2013 by IJMTT Journal
Volume-4 Issue-1                           
Year of Publication : 2013
Authors : R. Srilatha, B. Ravindra Reddy, N. Ch. Pattabhiramacharyulu

MLA

R. Srilatha, B. Ravindra Reddy, N. Ch. Pattabhiramacharyulu"A Discrete Host Commensal Species with Limited Resources and Mortality Rate for the Commensal"International Journal of Mathematical Trends and Technology (IJMTT),V4(1):10-15.June 2013. Published by Seventh Sense Research Group.

Abstract
This paper deals with an investigation on a Discrete Host-Commensal species with limited resources and mortality rate for the commensal. The model comprises of a commensal (S1), host (S2) that would benefit S1, without getting effected either positively or adversely. The model is characterized by a couple of first order non-linear ordinary differential equations. All possible equilibrium points are identified based on the model equations at two stages and criteria for their stability are discussed.

References

[1] Acharyulu K.V.L.N., and Pattabhi Ramacharyulu N. Ch.: On the Stability of an Ammensal- Harvested Enemy Species Pair with Limited Resources, International Journal of computational Intelligence Research (IJCIR), Vol. 6, No.3, pp.343-358, June 2010.
[2] Acharyulu K.V.L.N., and Pattabhi Ramacharyulu N. Ch,: An Ammensal-prey with three Species Ecosystem, International Journal of Computational Cognition ,Vol.9, No.2, pp.30-39,2011.
[3] Archana Reddy R., Pattabhi Rama Charyulu N.Ch., and Krisha Gandhi B, “A Stability Analysis of Two Competetive Interacting Species with Harvesting of Both the Species at a Constant Rate”, Int. J. of Scientific Computing 1 (1), (Jan-June 2007), 57 – 68.
[4] Lotka A. J., Elements of Physical Biology, Williams & Wilking, Baltimore, (1925).

Keywords
Commensal, Equilibrium point, Host, Oscillates, Stable.