Qualitative Behavior of a Discrete‐Time Predator–Prey Model With Holling‐Type III Functional Response and Gompertz Growth of Prey
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DOI: 10.1002/mma.11087
Abstract: This paper investigates the bifurcation dynamics of a discrete‐time predator–prey model with a Holling‐type III functional response and Gompertz growth for the prey. Using the forward Euler discretization, we analyze the local stability of fixed… read more here.
Keywords: discrete time; predator; time predator; model holling ... See more keywords
Neimark–Sacker bifurcation and chaos control in discrete-time predator–prey model with parasites
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DOI: 10.1007/s11071-018-4507-4
Abstract: In this paper, we discuss the qualitative behavior of a four-dimensional discrete-time predator–prey model with parasites. We investigate existence and uniqueness of positive steady state and find parametric conditions for local asymptotic stability of positive… read more here.
Keywords: predator prey; prey model; discrete time; control ... See more keywords
Flip and Neimark-Sacker Bifurcations of a Discrete Time Predator-Pre Model
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DOI: 10.1109/access.2019.2937956
Abstract: In this paper, we investigate the system undergoes flip and Neimark Sacker bifurcation in the interior of $R^{2}_{+}$ by using the center manifold theorem and bifurcation theory. The dynamics of this discrete time predator-pre model… read more here.
Keywords: tex math; discrete time; neimark sacker; time predator ... See more keywords