Turing instability for a ratio-dependent predator–prey model with diffusion

Coupling in predator-prey dynamics: Ratio-Dependence

Roger Arditi, Lev R. Ginzburg · Journal of Theoretical Biology · 1989 · 1.5K citations

Interspecific Behavioral Interaction, Predator-prey Interaction, Animal Behavior +1

Bifurcation, perturbation of simple eigenvalues, itand linearized stability

Michael G. Crandall, Paul H. Rabinowitz · Archive for Rational Mechanics and Analysis · 1973 · 792 citations

Bifurcation Theory, Perturbation Method, Simple Eigenvalues +1

Global qualitative analysis of a ratio-dependent predator-prey system

Yang Kuang, Edoardo Beretta · Journal of Mathematical Biology · 1998 · 562 citations

Predator-prey Interaction, Animal Behavior, Global Qualitative Analysis

Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system

Sze-Bi Hsu, Tzy-Wei Hwang, Yang Kuang · Journal of Mathematical Biology · 2001 · 370 citations

Predator-prey Interaction, Interspecific Behavioral Interaction, Global Analysis

Instabilities in spatially extended predator–prey systems: Spatio-temporal patterns in the neighborhood of Turing–Hopf bifurcations

Martin Baurmann, Ulrike Feudel · Journal of Theoretical Biology · 2006 · 353 citations

Pattern Formation, Deterministic Dynamical System, Chaos Theory +4