Bifurcation and turing instability for a predator-prey model with nonlinear reaction cross-diffusion

Stability and Bifurcation for a Delayed Predator–Prey Model and the Effect of Diffusion

Teresa Faria · Journal of Mathematical Analysis and Applications · 2001 · 266 citations

Natural Sciences, Mathematics, Differential Equations +10

Global Bifurcation of Positive Solutions in Some Systems of Elliptic Equations

Josep Blat, K.J. Brown · SIAM Journal on Mathematical Analysis · 1986 · 180 citations

Natural Sciences, Ecology, Mathematics +17

Hopf bifurcations in a reaction–diffusion population model with delay effect

Ying Su, Junjie Wei, Junping Shi · Journal of Differential Equations · 2009 · 179 citations

Natural Sciences, Mathematics, Chemical Kinetics +14

Existence of spatial patterns in a predator–prey model with self- and cross-diffusion

Lakshmi Narayan Guin · Applied Mathematics and Computation · 2013 · 81 citations

Life Sciences, Ecology, Dynamical Systems +9

Study of cross-diffusion induced Turing patterns in a ratio-dependent prey-predator model via amplitude equations

Malay Banerjee, S. Ghorai, Nayana Mukherjee · Applied Mathematical Modelling · 2017 · 70 citations

Natural Sciences, Mathematics, Differential Equations +15