We study a diffusive predator-prey model describing the interactions of small fishes and their resource base (small invertebrates) in the fluctuating freshwater marsh landscapes of the Florida Everglades. The spatial model is described by a reaction-diffusion system with Beddington-DeAngelis functional response. Uniform bound, local and global asymptotic stability of the steady state of the PDE...

In this paper, we investigate the stability of equilibrium in stage-structured and density-dependent predator–prey system with Beddington–DeAngelis functional response. First, by checking sign real part for eigenvalue, local origin boundary are studied. Second, explore positive τ=0 τ≠0 (time delay τ is time taken from immaturity to maturity predator), which shows that dependent on parameter τ. ...