[PDF] Top 20 Stability and bifurcation in a Holling type II predator–prey model with Allee effect and time delay

... delayed predator– prey system with Allee effect in prey and Holling type II function ...the stability and Hopf bifurcation of system (3) with ... See full document

... the stability and Hopf bifurcation of a stage-structured predator-prey model incor- porating time delay with prey growth subject to a strong Allee ...the ... See full document

... diffusive predator-prey system where the growth of prey population is governed by Allee effect and the predator population consumes the prey according to Beddington-DeAngelis ... See full document

... an Allee effect takes a longer time to reach its steady-state solution than the system ...The Allee effect reduces the population densities of both predator and prey at ... See full document

... of time variation in population dynamical events can exert profound effects on the ecology and evolution of individual species and on the composition of ecological ... See full document

... to model the interaction of predator and prey; they show that the functional response can enrich the model dynamics [4, ...are Holling type I–III [6], usually called the ... See full document

... ratio-dependent predator-prey models have received much attention from scientists (see, for example, ...ratio-dependent predator-prey model with the Michaelis- Menten type ... See full document

... a time delay predator-prey model with Holling type-IV functional response and stage-structured for the ...this model under the influence of gestation delay of ... See full document

... The mutual restriction between species is a key point of population dynamics research, and this mutual restriction relationship can be represented by a function called functional response function, which can be divided ... See full document

... over time and ...the predator-prey model has become one of the most important research topics in mathematical ecology for nearly a ...same time, mathematicians used the theory of ... See full document

... a predator-prey model with a refuge and an open habitat for ...The Allee effect in a prey refuge and the environment carrying capacity of prey are ...of prey and ... See full document

... The predator–prey model is a very important population dynamics ...the model in the functional response, based on ratio, age, or gender struc- ture, reaction–diffusion, ...the stability ... See full document

... the Allee effect has no influence on the final density of the ...the Allee effect, the longer the for the system to reach its stable steady- state ...of Allee effect to the ... See full document

... the bifurcation diagram under the strong and weak Allee ...the Allee effect as regards strength and ...the model is stable, model (3) with strong Allee effect must be a bistable ... See full document

... Hopf bifurcation occurs when a system has a pair of complex conjugate eigenvalues of the Jacobian matrix at an equilibrium point and when the stability of the equilibrium point changes from stable to ... See full document

... discrete-time prey–predator model with Allee effect on the prey population are ...the model are analyzed. It is shown that the model can undergo a Neimark–Sacker ... See full document

... the stability and permanence of diffusive predator–prey model with modified Leslie–Gower and Holling-type II schemes and time-delay in two ...this model ... See full document

... discrete predator–prey system with modified Holling–Tanner functional ...and bifurcation theory. Numerical simulations including bifurcation diagrams, maximum Lyapunov exponents, and ... See full document

... incorporating prey refuge is presented. By applying the analytical approaches, the dynamics behavior of the considered system is investigated, including stability, limit cycle and bifurcation. The ... See full document

... mature prey, the predator densi- ties at time t, e −γ τ denotes the surviving rate of immaturity to reach ...the prey and optimal harvesting play an important role in the stability of ... See full document