[PDF] Top 20 Coexistence states for a modified Leslie Gower type predator prey model with diffusion

... particular, predator-prey systems are very important to describe the interactions in the multi-species population dy- ...on predator-prey dynamics has been launched so as to derive more ... See full document

... modified Leslie–Gower model with nonlinear harvesting and Holling type-IV functional ...the model system using qualitative analysis, bifurcation theory and singular optimal ...the ... See full document

... Recently, Aziz-Alaoui and Daher Okiye [] pointed out that in the case of severe scarcity, y can switch over to other populations but its growth will be limited by the fact that its most favorite food x is not available ... See full document

... between prey on species dy- namics in the ...the model (studied in [1]) of Leslie–Gower and Holling II modified in two dimensions with diffusion in which we introduce a ...the prey ... See full document

... a predator-prey model from Holling-II type and Leslie Gower modified with diffusion and two time delays in dimension ... See full document

... LG model with a protection zone for the prey was studied by Du et ...the model for large intrinsic predator growth rates. A cross-diffusion LG model was considered by Li and ... See full document

... of prey and predator respectively. Significance of this model is that, according to the FR p(u), predator consumes prey and there is a logistic growth of prey population with ... See full document

... environment provides protection to prey x (respectively, to the predator y). They obtained the boundedness and global stability of positive equilibrium of system (.). Yu [] studied the structure, ... See full document

... not lead to the extinction of the predator species. Under certain assumptions, the system would be broken, which means that both predators and prey species would be driven to extinction. However, all the ... See full document

... for prey is investigated. The Holling type-II functional response is considered for prey while predator is assumed to follow Modified Leslie-Gower type ...steady ... See full document

... predators. Predator-prey systems with a Beddington-DeAngelis functional response have been studied by many authors ...two-competing prey and one-predator system with Beddington-DeAngelis ... See full document

... the prey refuge has a positive effect on the persistence prop- erty of the system, indeed, with the increasing of prey refuge, the predators have difficulty in catching the prey species, this directly ... See full document

... the model were discussed by Zhu and Wang ...of model (1), taking into account Michaelis-Menten type prey ...of prey harvesting and growth rate of predator on the model as ... See full document

... diffusive predator–prey system with modified Leslie–Gower and B–D (Beddington–DeAngelis) ...steady states of this reaction-diffusion system, which indicates the effect of large ... See full document

... nonautonomous predator-prey system based on a modified version of the Leslie-Gower scheme and Holling-type II scheme with delayed effect is ... See full document

... Indeed, Leslie introduced a predator–prey model where the environmental carrying ca- pacity of predator is proportional to the number of ...the predator population is of logistic ... See full document

... (2.2) which is known as the Lotka-Volterra model with having constant prey harvesting. Its equilibrium points are ( h a , 0) , ( d c , a b − dh cb ) where ah > cd. Since the eigenvalues corresponding ... See full document

... stochastic predator-prey model with time-delay and white noise is ...population model. Finally, the numerical solutions of the population model are obtained by using MATLAB ... See full document

... a predator-prey model with impulsive diffusion and releasing on predator ...This predator-prey model for two regions, which are connected by diffusion of predator ... See full document

... of predator- prey systems in mathematical ecology has a long history starting with the pioneering work of Lotka and Volterra [1, ...Lotka-Volterra model, conservation of mass and decomposition of the ... See full document