Periodic solutions for a numerical discretization neural network.
Periodic solutions of multispecies-competition predator-prey system with Holling's type III functional response and prey supplement.
Permanence of predator-prey system with infinite delay.
Persistence and bifurcation analysis on a predator–prey system of holling type
We present a Gause type predator–prey model incorporating delay due to response of prey population growth to density and gestation. The functional response of predator is assumed to be of Holling type II. In absence of prey, predator has a density dependent death rate. Sufficient criterion for uniform persistence is derived. Conditions are found out for which system undergoes a Hopf–bifurcation.
Persistence and bifurcation analysis on a predator–prey system of holling type
We present a Gause type predator–prey model incorporating delay due to response of prey population growth to density and gestation. The functional response of predator is assumed to be of Holling type II. In absence of prey, predator has a density dependent death rate. Sufficient criterion for uniform persistence is derived. Conditions are found out for which system undergoes a Hopf–bifurcation.