Effects of Additional Foods to Predators on Nutrient-Consumer-Predator Food Chain Model. (24th May 2012)

• Record Type: Journal Article
• Authors: Sahoo, Banshidhar
• Other Names: Piqueira J. R. C. Academic Editor.; Rogozin I. Academic Editor.
• Is Part Of: ISRN biomathematics. Volume 2012(2012)
• Publication Date: 2012-05-24
• Subjects: Biomathematics -- Periodicals; Models, Biological; Biometry; Biomathematics; Electronic journals; Periodicals; Periodicals; Fulltext; Internet Resources; Periodicals; 570.151
• DOI: 10.5402/2012/796783
• Languages: English
• ISSNs: 2090-7702

Abstract

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.