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Research Paper | Mathematics | India | Volume 5 Issue 10, October 2016 | Popularity: 7 / 10

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A Food Chain Model with Strong Allee Effect in Prey

Nijamuddin Ali

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

Edition: Volume 5 Issue 10, October 2016

Pages: 1533 - 1537

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