Permanency and Asymptotic Behavior of The Generalized Lotka-Volterra Food Chain System

Document Type: Research Articles

Authors

1 Department of Mathematics, University of Neyshabur, Neyshabur, Iran

2 Department of Mathematics, University of Neyshabur, Neyshabur, Iran.

Abstract

In the present paper a generalized Lotka-Volterra food chain system has been studied and also its dynamic behavior such as locally asymptotic stability has been analyzed in case of existing interspecies competition.
Furthermore, it has been shown that the said system is permanent (in the sense of boundedness and uniformly
persistent). Finally, it is proved that the nontrivial equilibrium point of the above system is locally asymptotically stable.

Keywords