A Food Chain Model with Strong Allee Effect in Prey
Abstract: In recent years, there has been an intense focus on the construction of mathematical models involving certain interesting ecological phenomena like Allee effect. Many animal and plant species suffer a decrease of the per capita rate of increase as their populations reach small sizes or low densities. In this article, a three species food chain model is proposed and analysed where prey species is affected by strong Allee effect. I have studied the stability behaviour of the system and bifurcation analysis. The system exhibits saddle-node bifurcation curve. Extensive Numerical simulation results are given to support the validity of the theoretical results. The ecological implications of our analytic and numerical findings are discussed.
Keywords: Food chain model, Allee effect, Stability, Bifurcation, Numerical simulation
How to Cite?: Nijamuddin Ali, "A Food Chain Model with Strong Allee Effect in Prey", Volume 5 Issue 10, October 2016, International Journal of Science and Research (IJSR), Pages: 1533-1537, https://www.ijsr.net/getabstract.php?paperid=ART20162498, DOI: https://dx.doi.org/10.21275/ART20162498