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A study of bionomic harvesting for a three species ecosystem consisting of two neutral predators and a prey

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Author(s): M.N.Srinivas

Journal: International Journal of Engineering Science and Technology
ISSN 0975-5462

Volume: 3;
Issue: 10;
Start page: 7491;
Date: 2011;
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Keywords: Prey predator | equilibrium points | local and global stability | Bionomic equilibrium.

ABSTRACT
This paper deals with the study on a three species ecosystem consisting of a prey (S1), two predators (S2, S3) surviving on the common prey (S1). The mathematical model equations constitute a set of three non-linear ordinary differential equations in 1 N , 2 N and 3 N the population densities of S1, S2 and S3 respectively. The existent of biological and bionomic equilibrium of the system is being discussed. Local and global stabilities are analyzed and biological and economical conditions are derived. We also explained the stability criteria graphically using Mat lab.
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