[PDF] Top 20 Predator-prey System with the Effect of Environmental Fluctuation

... with the functions f t x t   , ( ) ( ) , y t   ; g t x t   , ( ) ( ) , y t   periodic in t is a strong tool to describe the evolution of prey-predator communities depending on the changing of ... See full document

... type predator-prey system with Allee effect on the predator ...the system subject to an Allee effect takes much longer time to reach its stable steady-state solution, ... See full document

... discrete predator–prey system with a strong Allee effect on the prey and a ratio-dependent functional response, which is the discrete version of the continuous system in (Nonlinear ... See full document

... Allee effect on the stage 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 ... See full document

... in predator-prey systems has been of interest to economists, ecologists and natural resource management for some time ...a predator–prey–parasite model and studied its effect on the ... See full document

... the predator can recognize and avoid infected prey then this selection of predator may accrue the enhanced nutritional benifits of eating phylogenetically close prey while limiting risk of ... See full document

... In predator-prey systems, many authors have considered the Allee effect in prey ...a predator-prey ...in prey popu- ...a predator-prey model with Holling II type ... See full document

... a prey-predator system with switching in the predator is proposed for study, the system involving an SIS epidemic disease in prey ...the prey population is divided into ... See full document

... Keeping in view the above discussions, a mathematical model is proposed with effect of pol- lutant on a prey-predator system with disease in predator.A mathematical model is proposed in ... See full document

... Lotka-Volterra prey-predator system with feedback ...on predator species can make prey species that is on the brink of extinction become globally stable, but under the conditions of ... See full document

... The organization of this paper is as follows. In Section 2, we discuss the existence and stability of positive equilibrium point of system (2). The influence of predator mutual inter- ference is discussed ... See full document

... model in the history of theoretical ecology was developed independently by Alfred James Lotka (a US physical chemist) and Vito Volterra (an Italian mathematician) [25, 42]. Subsequently, this model has been used as a ... See full document

... of prey at time t, and also the function y(t) represents the populations of predator at time ...the prey in the absence of ...the effect of predator in the prey ...the ... See full document

... a system having a predator species interacting with same prey species in two ...habitats. Prey is able to migrate among two different habitats at some cost to the population in the sense that ... See full document

... The prey-predator systems have been discussed widely in the many ...the prey-predator with functional ...some prey or predator species have functional response, because of the ... See full document

... the prey and the predator, respectively; r i , a ij , τ and δ i (i, j = 1, 2) are given positive ...to environmental noises, the authors [7] studied a kind of stochastic predator-prey ... See full document

... dependent prey-predator ...discrete prey-predator system with the help of Lyapunov ...discrete prey-predator system and obtained conditions for the global stability ... See full document

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

... a predator kills and eats its ...between predator and prey is the most basic and is also ubiquitous in hu- man ...various predator–prey models have been studied, such as the stability, ... See full document

... a predator-prey community by using an appropriate change of variables, and the properties of the solution exhibit biologically reasonable dependence on the parameter ... See full document