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Leslie-Gower

Permanence and Global Stability for a Non Autonomous Predator Prey Model with Modified Leslie Gower and Holling Type II Schemes with Delays

Permanence and Global Stability for a Non Autonomous Predator Prey Model with Modified Leslie Gower and Holling Type II Schemes with Delays

... In this paper, a nonautonomous predator-prey system based on a modified version of the Leslie-Gower scheme and Holling-type II scheme with delayed effect is investigated. The general criteria of integrable ...

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Bifurcation analysis of a modified Leslie–Gower model with Holling type IV functional response and nonlinear prey harvesting

Bifurcation analysis of a modified Leslie–Gower model with Holling type IV functional response and nonlinear prey harvesting

... In this work, an attempt is made to understand the dynamics of a modified LeslieGower model with nonlinear harvesting and Holling type-IV functional response. We study the model system using qualitative ...

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Dynamics Of A Leslie-Gower Predator-Prey Model With Holling Type Iv Functional Response And Disease In Prey

Dynamics Of A Leslie-Gower Predator-Prey Model With Holling Type Iv Functional Response And Disease In Prey

... [13] Yafia,R., ElAdnani, F.,Alaoui, H.T., Limit cycle and numerical simulations for small and large delays in apredator-prey model with modified Leslie-Gower and Holling-type II schemes. NonlinearAnal.,Real ...

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Permanence and global attractivity of a nonautonomous modified Leslie Gower predator prey model with Holling type II schemes and a prey refuge

Permanence and global attractivity of a nonautonomous modified Leslie Gower predator prey model with Holling type II schemes and a prey refuge

... In this paper, we propose and study a nonautonomous modified Leslie-Gower predator- prey model with Holling-type II schemes and a prey refuge. We first obtain a set of suffi- cient conditions which ensure the ...

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Dynamics of a diffusive Leslie–Gower predator–prey system with ratio dependent Holling III functional response

Dynamics of a diffusive Leslie–Gower predator–prey system with ratio dependent Holling III functional response

... This paper is devoted to investigating the dynamics of a diffusive LeslieGower predator–prey system with ratio-dependent Holling III functional response. We first establish the stability of positive constant ...

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Permanence, stability, and coexistence of a diffusive predator–prey model with modified Leslie–Gower and B–D functional response

Permanence, stability, and coexistence of a diffusive predator–prey model with modified Leslie–Gower and B–D functional response

... This paper investigates the diffusive predator–prey system with modified LeslieGower and B–D (Beddington–DeAngelis) schemes under homogeneous Neumann boundary conditions. We have come to the following ...

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A non autonomous Leslie–Gower model with Holling type IV functional response and harvesting complexity

A non autonomous Leslie–Gower model with Holling type IV functional response and harvesting complexity

... This paper considers a non-autonomous modified LeslieGower model with Holling type IV functional response and nonlinear prey harvesting. We study the permanence of the model. Sufficient conditions are ...

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Identifying weak focus of order 3 in a Leslie–Gower prey–predator model with prey harvesting

Identifying weak focus of order 3 in a Leslie–Gower prey–predator model with prey harvesting

... In this paper, we identify a weak focus with order up to 3 for a LeslieGower prey–predator model with three parameters. The known work computed the first Lyapunov quantity and discussed Hopf bifurcations of ...

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Convergences of a stage structured predator prey model with modified Leslie Gower and Holling type II schemes

Convergences of a stage structured predator prey model with modified Leslie Gower and Holling type II schemes

... A stage-structured predator-prey model (stage structure for both predator and prey) with modified Leslie-Gower and Holling-II schemes is studied in this paper. Using the iterative technique method and the ...

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Stability Study of a Holling-II Type Model and Leslie-Gower Modified with Diffusion and Time Delays in Dimension 3

Stability Study of a Holling-II Type Model and Leslie-Gower Modified with Diffusion and Time Delays in Dimension 3

... [1] A. F. Nindjin, T. K. Tia, H. Okou, A. Tetchi, Stability of a diffusive predator − prey model with modified LeslieGower and Holling − type II schemes and time − delay in two dimensions. Advances in ...

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Permanence for a modified Leslie Gower predator prey model with Beddington DeAngelis functional response and feedback controls

Permanence for a modified Leslie Gower predator prey model with Beddington DeAngelis functional response and feedback controls

... The main shortcoming of (.) is 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 in abundance. In ...

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Stability of a diffusive predator–prey model with modified Leslie–Gower and Holling type II schemes and time delay in two dimensions

Stability of a diffusive predator–prey model with modified Leslie–Gower and Holling type II schemes and time delay in two dimensions

... In our paper, we study the impact of internal competition between prey on species dy- namics in the presence. For this, we consider the model (studied in [1]) of LeslieGower and Holling II modified in two ...

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Non-linear harvesting of prey with dynamically varying effort in a modified Leslie-Gower predator-prey system

Non-linear harvesting of prey with dynamically varying effort in a modified Leslie-Gower predator-prey system

... This paper is concerned with the study of a Modified Leslie- Gower type predator in a predator- prey system with nonlinear harvesting of prey population. The harvesting effort is taken as a dynamic variable ...

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Dynamical analysis of a delayed predator prey system with modified Leslie Gower and Beddington DeAngelis functional response

Dynamical analysis of a delayed predator prey system with modified Leslie Gower and Beddington DeAngelis functional response

... It should be pointed out that Gakkhar and Singh [] have earlier considered the Hopf bifurcation of another modified Leslie-Gower predator-prey system with Holling- II functional response and two delays. ...

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Dynamics of Modified Leslie-Gower Predator-Prey Model with Predator Harvesting

Dynamics of Modified Leslie-Gower Predator-Prey Model with Predator Harvesting

... Biologically, there is still a lot of work to do in this direction. For example, it would be an idea to study the behavior of model (2) when harvesting is applied to both prey and predator equations, since people usually ...

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Persistence and global stability of a Leslie-Gower predator-prey refuge system with a competitor for the prey

Persistence and global stability of a Leslie-Gower predator-prey refuge system with a competitor for the prey

... Dynamical behaviour of Leslie-Gower predator-prey model is not affected by refuge. If interspecific competition is allowed into the system, oscillation can emerge. Keeping this in mind, we have taken the ...

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Hopf bifurcation and chaos control for a Leslie–Gower type generalist predator model

Hopf bifurcation and chaos control for a Leslie–Gower type generalist predator model

... The recent findings confirm that systems that appeared in biology also have a chaos phenomenon. In the sense of biology, chaos is a disadvantageous factor in the virtuous cycle and development of ecosystems, so we intend ...

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Coexistence states for a modified Leslie Gower type predator prey model with diffusion

Coexistence states for a modified Leslie Gower type predator prey model with diffusion

... This paper is concerned with a modified Leslie-Gower predator-prey model with general functional response under homogeneous Robin boundary conditions. We establish the existence of coexistence states by the ...

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Analysis of a stochastic eco epidemiological model with modified Leslie–Gower functional response

Analysis of a stochastic eco epidemiological model with modified Leslie–Gower functional response

... In this paper, we consider deterministic and stochastic predator–prey models with disease in the prey and modified LeslieGower functional response. For a deterministic system, the conditions of stability ...

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Dynamics of a two dimensional system of rational difference equations of Leslie  Gower type

Dynamics of a two dimensional system of rational difference equations of Leslie Gower type

... of Leslie-Gower type, and first equation can be considered to be of Leslie-Gower type with stocking which is represented with the term a 1 , see ...

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