[PDF] Top 20 Stability of a stage-structured predator-prey model with Allee effect and harvesting

... of Allee effect A = 0, A = 2, A = ...the Allee effect increases and the equilibrium densities of both species at the stable steady state do not ... See full document

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

... 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

... of Allee effects on the local stability of the positive equilibri- um solution of the population model defined by ...the Allee effect has no influence on the population densities of ... 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 model is one of the basic models between different species in nature which has been widely researched ...delayed predator–prey model with stage struc- ... See full document

... new stage structured prey-predator model with linear functional response is proposed and ...for prey have been considered. The proposed mathematical model consists of ... See full document

... diffusive predator-prey system where the growth of prey population is governed by Allee effect and the predator population consumes the prey according to Beddington-DeAngelis type ... See full document

... First, we fix τ = 2.5 and vary m = 0.1, 0.3, 0.7, 0.9, which correspond to four values of E ∗ = (0.346676, 0.320008), (0.444703, 0.328168), (0.62698, 0.258366), (0.741398, 0.150437). Fig- ure 2 shows that all solutions ... See full document

... Leslie-Gower predator-prey model with continuous threshold prey harvesting is ...local stability of the positive equilibrium of the system with or without delay are completely ... 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

... global stability of the positive equilibrium points of the system has been studied by Aziz-Alaoui and Daher Okiye ...the model were discussed by Zhu and Wang ...of model (1), taking into account ... 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 ... See full document

... The stage structured prey predator model with harvesting is an important model and it is studied by many authors ...the stage structured model much ... See full document

... the stability of the equilibrium point changes from stable to unstable as a bifurcation parameter crosses a critical value [84, ...the stability of model ... See full document

... the Allee effect has been observed in many natural species, for example, plants [15], insects [16], marine invertebrates [17], birds and mammals ...the Allee effect has important dy- namical effects on the ... See full document

... mathematical model for predator–prey was developed independently by Lotka [1] and Volterra [2], the predator–prey models in ecology have received great atten- tion ...the ... See full document

... of predator-prey systems is one of the most popular areas in applied mathematics and theoretical ...of predator- prey models have been proposed and investigated extensively since the ... See full document