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Research on a delay-induced predator-prey system with Holling III functional response and habitat complexity. (Chinese. English summary) Zbl 1438.92076

Summary: Based on a discrete delay-induced predator-prey system with Holling III functional response, this paper incorporated the effect of habitat complexity into the system and proposed a predator-prey system with habitat complexity and time delay. By applying the theory of the differential equation and bifurcation, the dynamical behaviours were considered, including stability, Hopf bifurcation and transcritical bifurcation. Then the ecological meanings were given to explain the analysis results. Simulations were conducted to test our model system and the reliability of the analysis results of this paper.

MSC:

92D25 Population dynamics (general)
92D40 Ecology
34K18 Bifurcation theory of functional-differential equations
34K20 Stability theory of functional-differential equations
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