Sama technical and vocational training college, Izeh Branch, Islamic Azad University, Izeh, Iran
Abstract
In this paper, we investigate the dynamical complexities of a prey predator model prey refuge providing additional food to predator. We determine dynamical behaviours of the equilibria of this system and characterize codimension 1 and codimension 2 bifurcations of the system analytically. Hopf bifurcation conditions are derived analytically. We especially approximate a family of limit cycles emanating from a Hopf point. The analytical results are in well agreement with the numerical simulation results. Our bifurcation analysis indicates that the system exhibits numerous types of bifurcation phenomena, including Hopf, and Bogdanov-Takens bifurcations.
Lajmiri, Z., Orak, I., & Hosseini, S. (2019). Dynamics of a predator-prey system with prey refuge. Computational Methods for Differential Equations, 7(3), 454-474.
MLA
Zeynab Lajmiri; Iman Orak; Samane Hosseini. "Dynamics of a predator-prey system with prey refuge". Computational Methods for Differential Equations, 7, 3, 2019, 454-474.
HARVARD
Lajmiri, Z., Orak, I., Hosseini, S. (2019). 'Dynamics of a predator-prey system with prey refuge', Computational Methods for Differential Equations, 7(3), pp. 454-474.
VANCOUVER
Lajmiri, Z., Orak, I., Hosseini, S. Dynamics of a predator-prey system with prey refuge. Computational Methods for Differential Equations, 2019; 7(3): 454-474.
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