[PDF] Top 20 Stability and invariant manifold for a predator prey model with Allee effect

... Predator-prey models are similar to host-parasite and host-parasitoid models. In this sys- tem, the predator does not live on the host. The prey serves as a food source for the preda- tor. ... See full document

... stage-structured predator-prey model incorporating time delay with prey growth subject to a strong Allee ...asymptotic stability of the system according to the change of birth ... See full document

... stage-structured predator-prey model with Allee effect on predator species and harvesting on prey species is introduced and ...local stability of the positive ... See full document

... Kolmogorov model has been applied to many biological and environmental ...Gauss-type predator–prey model that includes the Allee effect and Holling type-III functional ...the ... See full document

... 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 some ... See full document

... The predator–prey models have a theoretical and practical ...Lotka–Volterra model is the first and the simplest model of predator–prey ...The model was developed ... 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 ...and stability of the model are ... See full document

... linear stability of equilibria and the ex- istence of Hopf bifurcation of the coexisting equilibrium are obtained in Section ...and stability of Hopf bifurcation by applying the center manifold ... See full document

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

... a predator-prey model with a refuge and an open habitat for ...The Allee effect in a prey refuge and the environment carrying capacity of prey are ...of prey and ... See full document

... 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 ...local ... See full document

... the predator-prey system (see [2]-[23] and the reference cited ...the predator-prey model involving the Allee effect, which reflects the fact that the population growth ... 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 growth ... See full document

... In this paper, we studied the existence and non-existence of the positive non-constant stationary solutions of a shadow system corresponding to a kind of diffusive homogeneous predator-prey system with ... See full document

... periodic predator-prey system, where the prey disperse in a two-patch ...the predator and prey species to be per- manent by using the techniques of inequality ... See full document

... of prey and predator, and r, K, θ , β , ε, a, and m take positive ...the prey species has θ -logistic growth with logistic index θ and intrinsic growth rate ...of predator, and ε ∈ (0, 1) is ... See full document

... juvenile prey to adult prey. The capturing rates of adult predator for juvenile and adult prey respectively are the constants a and ...adult prey to predator are denoted by k 1 ... 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

... 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

... Remark: Although the FGH model can tolerate significant perturbations, the numerical methods require adaptive approaches based on iterative techniques. The numerical estimate of the solutions is not ... See full document