[PDF] Top 20 Complex dynamic behavior of a discrete time predator prey system of Holling III type

... a discrete-time dynam- ical system in the interior of the first quadrant R  + by using the normal form theory of the discrete system (see Section  in []; see also [–]), and we ... See full document

... A discrete semi-ratio-dependent predator-prey system with Holling type IV functional response and time delay is ...nonautonomous system is permanent and globally ... See full document

... the predator-prey system (3) expe- riences Neimark-Sacker bifurcation and flip bifurcation both together when parameter a passes its critical ...The system firstly enters chaotic dynamics for ... See full document

... for predator–prey models [2–12] and [23, ...the discrete-time population models have attracted more and more ...the discrete-time models are more suitable than the ... See full document

... incorporating a prey refuge under sparse effect is considered. Through qualitative analysis of the model, at least two limit cycles exist around the positive equilibrium point with the result of focus value, the ... See full document

... of system (3) in the interior of the first quadrant of R 2 ...of system (3) and rigorously prove that the map (3) undergoes the flip bifurcation and Hopf bifurcation by using the center manifold theorem and ... See full document

... dynamical behavior of a discrete-time predator–prey model with modified Leslie–Gower and Holling’s type II schemes is investigated on the basis of the normal form method as well ... See full document

... a discrete-time predator-prey ...the system undergoes a flip bifurcation and a Neimark-Sacker bifurcation by using center manifold theorem and bifurcation ...the complex but ... See full document

... and dynamic optimization of a two-species ...global behavior of a predator-prey system with some functional response in the presence of constant ...a predator-prey ... See full document

... some dynamic phenomena, models with fractional order derivatives provide a better and more efficient description than those with classical derivatives ...the system understudy and purpose of the ...asymptotic ... See full document

... the dynamic behaviors of a delayed predator– prey system with Allee effect in prey and Holling type II function ...of system (3) with ... See full document

... of predator-prey models, which include bifurcations and chaos phenomena for the discrete-time ...the system undergoes a flip bifurcation and/or a Neimark-Sacker (NS) bifurcation by using ... See full document

... a discrete-time prey-predator system with Holling type-IV function response in the presence of some alternative food to predator and harvesting of prey ... See full document

... on prey- predator systems, since the system would be stabilized by impulsive effects, and would make the system subject to complex dynamical behaviors ...a predator- prey ... See full document

... a discrete semi-ratio- dependent prey-predator ...delayed discrete prey-predator system with the help of Lyapunov ...a discrete prey-predator ... See full document

... long time behavior of stochastic model ...deterministic system without harvesting terms when the intensities of noises and the catchability coefficient are ... See full document

... chaotic behavior of a discrete-time singular bioeconomic system are ...handling time of the catch in a singular bioeconomic ...proposed system is considered difference ...this ... See full document

... ecological predator – prey model and the oscillations in their ...understand complex dynamical behaviors of ecological systems in the real ...very complex dynamic phenomena of those ... See full document

... the prey population and P is the predator population, q(P) is the average loss rate of predators, c is the conversion efficiency from prey to predator, K is the carrying capacity, g(N) is the ... See full document

... The prey-predator model is an area of great interest for many ecologists and ...dynamical behavior of the prey-predator system in ecology and contributed to the growth of ... See full document