Title of article :
Dynamic Complexity of a Three Species Competitive Food Chain Model with Inter and Intra Specic Competition
Author/Authors :
Ali, N Department of Education - Katwa College - West Bengal, India , Chakravarty, S Department of Mathematics - Visva-Bharati - Santiniketan - 731235 - West Bengal, India
Abstract :
Abstract. The present article deals with the inter specic competition and intra-specic
competition among predator populations of a prey-dependent three component food chain
model consisting of two competitive predator sharing one prey species as their food. Stability
analysis including local and global stability of the equilibria has been carried out in order to
examine the dynamic behaviour of the system. As a result, intra-specic competition among
predator populations can establish global coexistence. The ecological implications of both the
analytical and numerical ndings are discussed at length towards the end.
Keywords :
Lyapunov Function , Hopf-bifurcation , Global Stability , food chain
Journal title :
Astroparticle Physics