[PDF] Top 20 A stochastic prey predator model with time dependent delays

... classical predator-prey system has gained an important theo- retical and practical significance, which has been studied extensively, and many excellent results concerning the permanence, extinction and ... See full document

... between predator and prey are usually expressed by different functional response functions, which reflect different dynamical ...on predator and prey and got some different functional response ... See full document

... Compared with the Lotka–Volterra models, the Gilpin–Ayala models are more advanta- geous because the rate of change in the size of each species is a nonlinear function of the sizes of the interacting species in the ... See full document

... a model of prey- predator ecosystem where the growth of prey is not directly proportional to the existing prey population and it is described by a Holling type II ...of prey is ... See full document

... of predator and prey is prevalent in nature and hence is one of the most important themes in ecological and mathematical ...Lotka–Volterra predator–prey model was formulated, various ... See full document

... diseased predator-prey system with stage ...of predator and prey species by considering the combined effects of harvesting and drought in the ...on predator-prey model, ... See full document

... at time t; x 2 (t) is the size of the predator population at time t subject to the non-negative initial condition x 1 (0) > 0, x 2 (0) > ...the prey population grows with a relative rate ... See full document

... Inspired by the above discussion, we shall propose, in this paper, a stochastic predator– prey IPM model. Initially, we shall show that our model has a positive solution, and then ... See full document

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

... models, predator-prey systems play an impor- tant role in population ...Ratio-dependent predator-prey systems have received much attention as more suitable ones for ... See full document

... Leslie model(1945), Rosenzweig-macArthur model (1963), Yodzis model(1989) are ...have prey dependent interaction and some have ratio-dependent interaction which indeed carried on ... See full document

... of delays on the asymptotic behavior of populations has been studied by a number of authors (see, for example, [, , , ...incorporated time delays in the model ... See full document

... Abstract—In this paper, we consider a Watt-type predator- prey model with diffusion and time delays. Firstly, by means of Mawhin’s continuation theorem of coincidence degree theory, ... See full document

... arena model describing the dynamics of prey- predator abundance from a deterministic framework to a stochastic ...of prey as well as the death rate of predator ...this ... See full document

... Lotka-Volterra predator-prey model with time-varying ...the delays τ ij (k) =  (i, j = , , ) and deal with the existence and stability ... See full document

... the predator–prey model with this ...in predator–prey ...ratio-dependent predator–prey system with Holling type III functional response and stage structure for the ... See full document

... solutions, stochastic permanence, and extinction were discussed, and the limit of the average in time of the sample path was ...Lotka-Volterra model in random environments and obtained nice ...the ... See full document

... Remark . It is well known that systems (.) and (.) may explode to infinity at a finite time for some system parameters, see []. However, the explosion will no longer happen as long as there is noise. In ... See full document

... This article presents an investigation of asymptotic properties of a stochastic ratio- dependent predator-prey model under regime switching. Both the white and color noises are taken ... See full document

... the stochastic Gilpin-Ayala predator-prey system with time-varying delays, and obtained the long-term gradual progress, mean estimation and population extinction of the ... See full document