[PDF] Top 20 Stability analysis of a two patch predator–prey model with two dispersal delays

... Population dispersal is very common in ecology. Species migrate from one patch to an- other patch, due to some kinds of factor in the initial ...a prey species will choose to move on the basis ... See full document

... a predator-prey model with prey impulsive diffusion and dispersal ...other analysis methods, we have established a set of easily verifiable suf- ficient conditions on the global ... See full document

... the analysis of population dynamical problems of (SM), two difficult is- sues arise: (i) how to handle the delays in the given model and (ii) how to handle the nonlin- ear terms in ... See full document

... a model which attempts to represent the population dynamics which can occur in a system when two species interact with each other in the same ...discrete predator-prey system with the logistic ... See full document

... harvested predator–prey system is presented by analyzing the dynamics of two-prey and one-predator model, in which two teams of prey are interacting with one team ... See full document

... the two different delays on the dynamics of a three-species ratio-dependent predator-prey food-chain model is ...local stability of the positive equilibrium and the existence of ... See full document

... Predator-prey models have been studied by many authors (see [6, 21]), but the stage structure of species has been ignored in the existing literature. In the natural world, how- ever, there are many species ... See full document

... Lotka-Volterra predator-prey model with two delays is studied by using a hybrid control ...local stability and the existence of Hopf bifurcation with respect to both ... See full document

... above model does not incorporate the effect of time delay, but for a long time, it has been recognized that delays can have a complex effect on the dy- namics of a system [9] ...of prey and the death ... See full document

... The organization of this paper is as follows. In the next section, we present some basic assumptions for sys- tem (1.2) and two important lemmas on the nonauto- nomous single-species logistic system. In Section 3, ... See full document

... type predator-prey model with time-varying delay, where the dispersal of both predators and prey is ...a stability criterion is derived, which is closely related to the ... See full document

... exponential stability of positive almost periodic solutions for model ...exponential stability of positive almost periodic solutions for model ... See full document

... a prey-predator fishery model with prey dispersal in a two-patch environment, one is assumed to be a free fishing zone and the other is a reserved zone where fishing and ... See full document

... local stability and the existence of Hopf bifurcation with respect to both delays are ...the stability of bifurcating period ...theoretical analysis is verified via numerical ... See full document

... to model population dynamics and presented a generalized form of the logistic growth ...Gause-type predator–prey model and investigated the existence and non-existence of non-constant positive ... See full document

... structure model, also, since the creatures of higher rank are more likely to die out or have Allee effect, due to the lack of food, it is necessary to investigated the predator prey system ... See full document

... When k = 0-8 in this system, the 'normal' approximation suggests that the mean passage time to zero should be of the order of 35 steps for both species. Both of these means are somewhat [r] ... See full document

... diffusive predator-prey model with predator ...the model are ...asymptotic stability of the positive equilibrium for this model are given by constructing a Lyapunov ... See full document

... the prey from the attack of predators in some ...the prey? Now, additional food is very important for the ...to predator in prey–predator models were investigated ...of ... See full document

... Conclusion In this paper, we considered a three-stage-structured prey-predator system with discrete and continuous time delays and analyzed the stability of the boundary and positive equ[r] ... See full document