Global dynamics of a ratio-dependent Holling–Tanner predator–prey system
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DOI: 10.1016/j.jmaa.2017.11.057
Abstract: Abstract A ratio-dependent Holling–Tanner predator–prey model is studied. By investigating the local stability properties of equilibrium points and periodic solutions of a transformed system, and by applying the Poincare–Bendixson theorem, we are able to give… read more here.
Keywords: predator prey; holling tanner; dependent holling; ratio dependent ... See more keywords
Regime shifts in a modified Holling–Tanner predator–prey model: The roles of prey refuge and environmental stochasticity
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DOI: 10.1142/s1793524525501505
Abstract: In a modified Holling–Tanner predator–prey model, the introduction of a constant prey refuge can lead to complex dynamics, including multi-type bistability and complex bifurcations, which is highly susceptible to environmental perturbations. In this paper, we… read more here.
Keywords: prey; tanner predator; modified holling; holling tanner ... See more keywords
Delay-induced Hopf bifurcation in a diffusive Holling–Tanner predator–prey model with ratio-dependent response and Smith growth
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DOI: 10.1186/s13662-018-1726-4
Abstract: In this paper, we study a diffusion Holling–Tanner predator–prey model with ratio-dependent functional response and Simth growth subject to a homogeneous Neumann boundary condition. Firstly, we use iteration technique and eigenvalue analysis to get the… read more here.
Keywords: predator prey; prey model; holling tanner; model ratio ... See more keywords