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ISRN Biomathematics
Volume 2012 (2012), Article ID 796783, 8 pages
http://dx.doi.org/10.5402/2012/796783
Research Article

Effects of Additional Foods to Predators on Nutrient-Consumer-Predator Food Chain Model

Department of Mathematics, Daharpur A. P. K. B Vidyabhaban, Paschim Medinipur, West Bengal, India

Received 8 February 2012; Accepted 18 March 2012

Academic Editors: J. R. C. Piqueira and I. Rogozin

Copyright © 2012 Banshidhar Sahoo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We have proposed a nutrient-consumer-predator model with additional food to predator, at variable nutrient enrichment levels. The boundedness property and the conditions for local stability of boundary and interior equilibrium points of the system are derived. Bifurcation analysis is done with respect to quality and quantity of additional food and consumer’s death rate for the model. The system has stable as well as unstable dynamics depending on supply of additional food to predator. This model shows that supply of additional food plays an important role in the biological controllability of the system.