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The paper studies the dynamical behaviors of a predator-prey model with square root functional response. The study reveals that the dynamical behavior near the origin of the model is subtle and interesting. Taking search efficiency as a bifurcation parameter, it is shown that the model undergoes transcritical bifurcation and Hopf bifurcation. Numerical simulations not only illustrate our results, but also exhibit richer dynamical behaviors of the model than those with Holling II type functional response. Our results generalize the results of Braza [Predator-prey dynamics with square root functional responses, Nonlinear Anal. 13 (2012), 1837-1843].
How to Cite this Article:
Liujuan Chen, Fengde Chen, Dynamical analysis of a predator-prey model with square root functional response, Journal of Nonlinear Functional Analysis 2015 (2015), Article ID 8.