Traveling waves for a generalized Holling-Tanner predator-prey model
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DOI: 10.1016/j.jde.2017.08.021
Abstract: Abstract We study traveling wave solutions for Holling–Tanner type predator–prey models, where the predator equation has a singularity at zero prey population. The traveling wave solutions here connect the prey only equilibrium ( 1 ,… read more here.
Keywords: predator prey; holling tanner; wave solutions; weak traveling ... See more keywords
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
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