Bifurcation theory for ordinary differential equations, intraspecific competition, coexistence, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, Homoclinic and heteroclinic solutions to ordinary differential equations, Stability of solutions to ordinary differential equations, Asymptotic properties of solutions to ordinary differential equations, Allee effect, Population dynamics (general), additive predation, Qualitative investigation and simulation of ordinary differential equation models, bifurcation, predator-prey model