Discrete-Time Predator-Prey Model
Bifurcations of a two dimensional discrete time predator–prey model
... From the viewpoint of biology, the stable closed curve corresponds to the periodic or quasi-periodic oscillations between predator and prey populations. Numerical simulations are presented to verify not ...
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Bifurcation and chaos control in a discrete time predator–prey model with nonlinear saturated incidence rate and parasite interaction
... three-dimensional discrete-time model of prey–predator–parasite type is studied. The existence of equilibria and the local asymptotic stability of these steady states are investigated. ...
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Stability analysis of discrete time multi patch Beddington–DeAngelis type predator prey model with time varying delay
... investigate discrete-time predator-prey model, especially when the size of population is rarely small or the population has no over- lapping ...
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Neimark–Sacker bifurcation and stability analysis of a discrete time prey–predator model with Allee effect in prey
... β are positive real numbers. They have studied stability and Neimark–Sacker bifurcation of a discrete-time predator–prey model. The analysis of bifurcations has already received much ...
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Bifurcation, chaos analysis and control in a discrete time predator–prey system
... a discrete-time predator–prey model with modified Leslie–Gower and Holling’s type II schemes is investigated on the basis of the normal form method as well as bifurcation and chaos ...
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Stability Analysis of a Discrete Prey - Predator Model with Ratio Dependence
... 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 ...by discrete times models. Discrete time models ...
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The Permanence and Extinction of a Discrete Predator Prey System with Time Delay and Feedback Controls
... that discrete time models governed by difference equations are more appropriate than the continuous ones when the populations have nonoverlapping ...generations. Discrete time models can also ...
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Bifurcation Analysis of Prey-Predator Model with Harvested Predator
... important Predator – Prey models with the functional response is the Holling type – IV, originally due to Holling which has been extensively studies in many articles [4-6, ...of predator to its ...
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Permanence and global attractivity in a discrete Lotka Volterra predator prey model with delays
... In this paper, we have investigated the dynamic behavior of a discrete Lotka-Volterra predator-prey model with time-varying delays. Sufficient conditions which ensure the per- manence of ...
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Stability analysis of discrete-time prey-predator system with predator dependent on alternative resources
... The prey-predator model is an area of great interest for many ecologists and ...the prey-predator system in ecology and contributed to the growth of continuous models for large size ...
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Complex dynamic behavior of a discrete time predator prey system of Holling III type
... Lotka-Volterra prey-predator model has become one of the fundamental popula- tion models since the theoretical works going back to Lotka () [] and Volterra () [] in the last ...to ...
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Dynamics of a discrete time predator prey system
... Lotka-Volterra predator-prey model [, ] is one of the most important population ...other predator-prey models of vari- ous types that have been extensively investigated, and some of ...
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Discrete time bifurcation behavior of a prey predator system with generalized predator
... Leslie-Gower prey-predator model [, ], we propose a discrete-time prey-predator system with predator partially dependent on prey [] and investigate the ...
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Dynamic behaviors of a discrete time predator–prey bioeconomic system
... the prey and predator populations at time t, ...this model from an economic point of view, many researchers have stud- ied a class of bioeconomic systems which combine system ...with ...
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A Discrete Model of Three Species Prey-Predator System
... graphing time plots for x(n), y(n), z(n) and phase ...the model can be carried out by computing the Jacobian corresponding to each equilibrium point and finding eigen values from the Jacobian ...
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Stability analysis for a time delayed nonlinear predator–prey model
... In this paper, we investigate the dynamics of a time-delayed prey–predator system with θ -logistic growth. Our investigation indicates that the models based on delayed differential equations (DDEs) ...
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Application of inequalities technique to dynamics analysis of a stochastic eco epidemiology model
... infected predator-prey model with Beddington-DeAngelis functional response from a classical deterministic framework to a stochastic differential equation ...stochastic model has a unique ...
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A PREDATOR-PREY MODEL WITH STRONG ALLEE EFFECT IN THE PREY AND AN ALTERNATIVE FOOD SOURCE FOR THE PREDATOR
... the prey is subject to Allee effect, it is assumed that the predator manage some additional food source (for which there is serious intraspecific competition among them), and there is mutual interference ...
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Bifurcation Analysis of a Stage Structured Prey Predator System with Discrete and Continuous Delays
... Conclusion In this paper, we considered a three-stage-structured prey-predator system with discrete and continuous time delays and analyzed the stability of the boundary and positive equ[r] ...
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Hopf bifurcation analysis in a predator–prey model with two time delays and stage structure for the prey
... some predator species dislike hunting immature preys, or many immature preys are concealed in the caves or nests to keep from being attacked by the predators in the natural ...the prey and two ...
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