IJPAM: Volume 80, No. 5 (2012)

STABILITY OF PREY-PREDATOR MODEL WITH
HARVESTING ACTIVITY OF PREY

Harkaran Singh$^1$, H.S. Bhatti$^2$
$^1$Department of Applied Sciences
Khalsa College of Engineering and Technology
Amritsar, Punjab, INDIA
$^2$Department of Applied Sciences
B.B.S.B. Engineering College
Fatehgarh Sahib, Punjab, INDIA


Abstract. In this paper, we have proposed a prey-predator model with harvesting activity of prey proportional to their population size and studied the stability of the model using Holling's type II functional response and numerical response. The conditions for the equilibrium to be locally asymptotically stable have been obtained. The simulation has been carried out and it has been observed that when the harvesting activity of prey is taken into consideration then population size of predator decreases and the naturally stable equilibrium of model becomes unstable.

Received: March 23, 2012

AMS Subject Classification: 97M60

Key Words and Phrases: Holling's type II functional response and numerical response, Harvesting activity

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 80
Issue: 5