Zaowang Xiao1 and Zhong Li This email address is being protected from spambots. You need JavaScript enabled to view it.1

1College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350116, P.R. China.


Received: July 19, 2018
Accepted: January 15, 2019
Publication Date: June 1, 2019

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In this paper, we consider a predator-prey system incorporating mutual interference into predator and the fear effect into prey. By using theories on exceptional directions and normal sectors, we show that both the two boundary equilibria are saddle points and the interior equilibrium is globally stable. Compared to the corresponding predator-prey model without mutual interference, we find that the mutual interference can stabilize the predator-prey system.

Keywords: Predator-prey, Fear Effect, Mutual Interference, Global Stability


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