[PDF] Top 20 Qualitative Analysis of a Predator prey Model with Weak Allee Effect

... tor-prey model is an important branch. In this paper, a predator-prey reaction-diffusion system with weak Allee effect and homogeneous Neumann boundary condition is ... See full document

... The diffusive predator-prey model with Ivlev functional response is considered under homogeneous Dirichlet boundary conditions. Firstly, we investigate the bifurcation of positive solutions and derive ... See full document

... strong Allee effect [40, 44, ...of weak Allee effect is also available (see references [44, ...Allee effect. In this paper, we are not interested in additive Allee ... See full document

... with weak Allee effect and harvesting in prey population, and found that optimal harvesting policy is dependent on both gestation delay and Allee ...harvesting ... See full document

... an Allee effect takes a longer time to reach its steady-state solution than the system ...The Allee effect reduces the population densities of both predator and prey at the ... See full document

... Gauss-type predator– prey model with Allee effect and Holling type-III functional ...The model was constructed by starting with the first order model as shown in ...between ... See full document

... discrete-time predator–prey model. The analysis of bifurcations has already received much attention during the last few years [20, ...stability analysis are examined in detail in [20, ... See full document

... considering Allee effect. The so-called Allee effect dates from , Allee reported that the prey growth rate is negative or an increasing function at low pop- ulation density ...The ... See full document

... a prey-predator model with Allee effect and Holling type-I functional response is established, and its dynamical behaviors are studied in ...the model are qualitatively discussed. Hopf ... See full document

... a weak Allee effect if the density at zero per capita growth is positive, a strong Allee effect if the low-density per capita growth is ...the Allee effect has always been introduced to explain ... See full document

... this model has a unique global positive solution starting from the positive initial value by the comparison theorem of stochastic differential ...the model by using the generalized exponential martin- gale ... See full document

... a predator-prey model with impulsive diffusion and releasing on predator ...releasing predator will provide reliable tactic basis for pest ... See full document

... stochastic predator-prey populations in toxic ...the model established in this paper possesses non-negative solutions as this is essential in any population dynamics ...out analysis on the ... See full document

... interference constant. Obviously, system (1) investigated by Korobeinikov [3] is a special cases of (2) with m = 1, i.e. there is no mutual interference between predator species. So we only investigate system (2) ... See full document

... infected prey is much and no reproduction in infected ...where predator could only survive on the prey if some of the prey were more vulnerable due to ...a predator-prey system ... See full document

... is a generalization of the model in []. A basic problem concerning predator-prey model is the existence and uniqueness of global positive solutions. One of the main approaches in the ... See full document

... between predator and prey [–]. Interaction between predator and prey is hard to avoid being influenced by some ...infected predator-prey systems ...a ... See full document

... his analysis of various theories is accomplished well, in many epidemiologists in today’s ...mathematical model in the area related with various infectious disease transmission ... See full document

... stochastic predator- prey populations model in polluted ...mean, weak persistence in the mean of the predator and prey populations have been ...between weak persistence in ... See full document

... mathematical model has been proposed and analyzed to study the stability on the dynamics of a two patchy predator-prey ...The model has been analyzed in a marine environment with effect ... See full document