[PDF] Top 20 Dynamical analysis of a delayed predator prey system with modified Leslie Gower and Beddington DeAngelis functional response

... the functional response. Especially the Beddington-DeAngelis functional response which is first proposed by Beddington and DeAngelis et ...]. ... See full document

... The Leslie–Gower model [1, 2] (LG model) shows how asymptotic solutions converge to a stable equilibrium (independent of the initial conditions) ...the system dynamics (in the sense of biol- ...type ... See full document

... a predator–prey model with modified Leslie–Gower and Holling type II schemes with stochastic perturbation and the condition for persistence and ex- tinction of the system is ...a ... See full document

... particular, predator-prey systems are very important to describe the interactions in the multi-species population dy- ...on predator-prey dynamics has been launched so as to derive more ... See full document

... authors. Predator- prey system is one of the most important population ...the functional response of predator to prey density refers the attack rate per unit time ...using ... See full document

... the system 1.3, the Beddington-DeAngelis functional response is used only in the prey equation, not the predator, and the predator equation contains a ... See full document

... diffusive predator–prey system with modified Leslie–Gower and B–D (Beddington–DeAngelis) ...stability analysis of the equilibrium for a corresponding ODE ...the ... See full document

... of prey and predator ...p(u), predator consumes prey and there is a logistic growth of prey population with growth rate r ...of prey population. The term computes the depletion ... See full document

... using dynamical system technique and the geometrical singular perturbation theory, Cantrell et ...and prey of system ...one-predator system with ... See full document

... to prey x (respectively, to the predator ...that Beddington-DeAngelis functional response preformed better than Holling-type II functional response, Yu [] ... See full document

... their prey has long been and will continue to be one of the dominant themes in both ecology and mathematical ecology due to its universal existence and ...importance. Leslie [, ] in- troduced the ... See full document

... The dynamical relationship between prey and predator has long been and will continue to be a dominant theme in ecology due to its universal importance and ...the predator-prey is ... See full document

... typical system should consider the mutual interference which was introduced by Hassell [30] in ...Lotka-Volterra predator- prey model incorporating predator mutual interference with a constant ... See full document

... nonautonomous predator-prey system based on a modified version of the Leslie-Gower scheme and Holling-type II scheme with delayed effect is ... See full document

... the system has been reported in the ...the prey-predator systems ...on prey-predator system with or without ...on prey-predator ...of predator-prey ... See full document

... detailed analysis of Hopf bifurcation when the spatial homoge- neous bifurcating periodic solution comes out, including the accurate bifurcation direc- tion, the certain stability of bifurcating periodic solution, ... See full document

... the prey, competitor for the prey and predator ...the prey species and r 2 is the intrinsic growth rate of the competitor for the prey ...of predator. a 1 is the per capita ... See full document

... the prey refuge has a positive effect on the persistence prop- erty of the system, indeed, with the increasing of prey refuge, the predators have difficulty in catching the prey species, this ... See full document

... diffusion system is a comparatively effortless outcome to the corresponding predator– prey ...a prey-taxis term in ...the prey- taxis term ∇ · (uχ(u)∇v) contained in the corresponding ... See full document

... both prey and predator equations, since people usually would like to harvest both ...in predator-prey modeling, including an analysis of modified Leslie-Gower ... See full document