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(10 citation statements)

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“…Further studies show that the stage structures for both predator and prey should be taken into consideration in modelling [9]. Some interesting results on the dynamical behaviors of predator-prey systems can be found in [10][11][12][13][14][15].…”

confidence: 99%

“…Remark 2 Since we consider a three-species-food-chain model, the dynamical behaviors are more complicated and the system has more equilibria than those in [4,10,12]. Although these conditions of (C2), (C3) and (C4) seem to be intricate, take Case I (please see the section of Numerical simulation (Sect.…”

confidence: 99%

“…The modeling of predator-prey populations is an intensive research area where a wide variety of models are proposed to describe and to analyze different mechanisms such as control of populations, oscillations of populations, delay maturation time effects, and pattern formation in predator-prey models with diffusion: see, for example, [1][2][3][4][5][6][7][8][9][10]. One relevant feature in these models is the predator-prey coexistence, which is of vital importance to obtain realistic models of predatorprey interactions.…”

confidence: 99%

“…In [20], the stability and bifurcation analysis of a stage structured predator-prey model with time delay were investigated. Yongzhen et al [34] formulated a three-species ecosystem with a delay digestion process and Holling functional response, the dynamical behaviors of the system are studied.…”

confidence: 99%