Allen–Cahn model Cahn–Hilliard model Evolutionary dynamics G-function Mathematics & science Pearl-Verhulst logistic model Philosophy and science Public Goods Quorum Sensing Research & information: general Turing instability Turing patterns Turing-Hopf bifurcation animal movement bistability carrying capacity chemostat model continuum models correlated random walk cross diffusion desertification diffusion dispersal dynamic behaviors energy constraints front instabilities generalist predator ghost attractor homoclinic snaking individual based models