A delayed fractional order food chain model with fear effect and prey refuge

被引：0
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作者：
Das, Meghadri [1 ]
Samanta, G.P. [1 ]
机构：
[1] Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah,711103, India
来源：
Mathematics and Computers in Simulation | 2020年 / 178卷
关键词：
A delayed fractional-order prey–predator system with fear (felt by prey) effect of predator on prey population incorporating prey refuge has been proposed. We consider a three species food chain system with Holling type I functional response for the predator population including prey refuge. The existence and uniqueness of the system is studied along with non-negativity and boundedness of the solutions of proposed system. Next; local stability of the equilibria has been studied for both delayed and non-delayed systems. We have also established that the non delayed system is globally stable under some parametric restrictions. Finally we have discussed the Hopf bifurcation due to time delay and other parameters both theoretically and numerically by the help of MATLAB and MAPLE. © 2020 International Association for Mathematics and Computers in Simulation (IMACS);
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页码：218 / 245
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