Stability Analysis of Discrete-Time Prey-Predator Model with Harvesting Activity and Allee Effect
Harjot Singh1, Saminder Talwar2, Harkaran Singh3
1Harjot Singh, Department of Mathematics, Sikh National College, Banga, Punjab, India.
2Saminder Talwar, Department of Applied Sciences, Sri Sai College of Engg. and Tech., Badhani, Punjab, India.
3Harkaran Singh, Department of Applied Sciences, Khalsa College of Engg. and Tech., Amritsar-143001, Punjab, India.
Manuscript received on March 01, 2015. | Manuscript Received on March 05, 2015.. | Manuscript published on March 20, 2015. | PP: 1-4 | Volume-1 Issue-5, April 2015
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Abstract: In this paper, the stability analysis of discrete-time Prey-Predator model with harvesting activity in presence and absence of Allee effect on prey population has been carried out. Forward Euler method is applied to the continuous model to obtain the discrete-time model. We discussed the stability criterion of the discrete-time model at the fixed points. Numerical simulations have been carried out to show the dynamical behavior of the model.
Keywords: Harvesting activity, Forward Euler method, Critical points, Allee effect. Mathematics Subject Classification 2000: 97M60