Dynamics of Food Chain Model: Role of Alternative Resource for Top Predator

Subject Areas : International Journal of Mathematical Modelling & Computations

ANUJ KUMAR ¹ , MANJU AGARWAL ²

1 - UNIVERSITY OF LUCKNOW-INDIA
2 - UNIVERSITY OF LUCKNOW- INDIA

Received: 2016-12-11 Accepted : 2017-11-04 Published : 2017-04-01

Keywords: mathematical model, Stability Analysis, Holling type III Functional Response, Alternative Resource,

Abstract :

In this paper, effect of alternative resource for top predator in food chain model with holling type III functional response is seen . Proposed model is demonstrated in respect of analytical as well numerical results. Bifurcation study with the variation of alternative resource and half saturation constants are done numerically. Simulation results shows that suitable alternative resource has the capability to prevent top predator extinction.