In this paper, we consider a delayed diffusive Leslie–Gower predator–prey system with homogeneous Neumann boundary conditions. The stability/instability of the coexistence equilibrium and associated Hopf bifurcation are investigated by analyzing the characteristic equations. Furthermore, using the upper and lower solutions method, we give a sufficient condition on parameters so that the coexistence equilibrium is globally asymptotically stable.
No takes yet. Share an insight, caveat, or question.
Chen et al. (2012) studied this question.
Synapse has enriched one closely related paper. Consider it for comparative context: