Existence and asymptotic behavior of positive solutions for a one-prey and two-competing-predators system with diffusion

Positive solutions of a diffusive two competitive species model with saturation

“…Regarding to the Bazykin functional response, the existence, multiplicity and uniqueness of positive solutions of the predator-prey model were studied in [19,20], where f (u, v) is given by (2) with positive α and β. The predator-prey models with Bazykin functional response and other kinds of functional responses have been studied by many authors, please refer to [9,10,12,13,14,15,16,17,22] for example.…”

Stability and bifurcation with singularity for a glycolysis model under no-flux boundary condition

“…Then, we aim to continue the stationary bifurcation of (1) for no-flux boundary condition. However, the steady state bifurcation mostly focuses on the case of the simple eigenvalue, such as [4,14,16,17,18,34,37,38], but rather less seems to be known about the non-simple case.…”

“…The corresponding method for the simple bifurcation is the traditional theory, see [7,26]. Just as [4,14,16,17,18,34,37,38], the bifurcation analysis may be from either a simple or non-simple zero eigenvalues, but the latter case is excluded in the most existing works. Motivated by this, we are interested in the formation of steady state spatially inhomogeneous solutions bifurcating from the double zero eigenvalue.…”