A Food Chain Model with Strong Allee Effect in Prey

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.