[PDF] Top 20 Existence of limit cycles in a predator prey system with a functional response
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Existence of limit cycles in a predator prey system with a functional response
... The outline of this paper is as follows. In Section 2, we derive the necessary condi- tion for the nonexistence of limit cycles. In Section 3, we present the sufficient con- dition for the nonexistence of ... See full document
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Existence of Periodic Solutions in a Discrete Predator Prey System with Beddington DeAngelis Functional Responses
... dynamical system technique and the geometrical singular perturbation theory, Cantrell et ...and prey of system ...the existence, stability, and uniqueness of coexistence states and the ... See full document
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Existence of the non constant steady states to a fractional diffusion predator prey system including Holling type II functional response
... diffusion predator-prey system with Holling type-II functional response in a bounded domain with no flux boundary ...The existence of the non-constant steady states is considered ... See full document
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Necessary and sufficient condition for existence of periodic solutions of predator prey dynamic systems with Beddington DeAngelis type functional response
... global existence and stability of a positive periodic solution is a significant prob- lem in population growth ...nonautonomous system would have a positive periodic solution that is globally asymptotically ... See full document
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Global behavior for a diffusive predator-prey system with Holling type II functional response
... cross-diffusion predator-prey system with Holling type II functional response is ...global existence of non-negative classical solutions to this system in which the space ... See full document
11
A delayed Holling type III functional response predator prey system with impulsive perturbation on the prey
... on prey- predator systems, since the system would be stabilized by impulsive effects, and would make the system subject to complex dynamical behaviors ...a predator- prey model ... See full document
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Dynamics of a Stochastic Delayed Predator Prey System with Beddington DeAngelis Functional Response
... In order for a stochastic differential equation to have a global solution for any given initial condition, it is generally necessary to data the coefficients of the eq- uation are generally required to satisfy the liner ... See full document
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Qualitative analysis of a harvested predator prey system with Holling type III functional response
... the limit cycle arising from Hopf bi- furcation at the parametric value α = α ∗ ...limit cycles. Kuang [] gave the following result on the uniqueness of limit cycles for the ... See full document
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Qualitative analysis of a harvested predator prey system with Holling type III functional response incorporating a prey refuge
... a prey refuge under sparse effect is ...two limit cycles exist around the positive equilibrium point with the result of focus value, the Hopf bifurcation under a prey refuge is ... See full document
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Stability Analysis of a Discrete Prey - Predator Model with Ratio Dependence
... a system when two species interact with each other in the same ...discrete predator-prey system with the logistic growth in prey and the functional response is ...the ... See full document
5
Stability and bifurcation analysis of a discrete predator–prey system with modified Holling–Tanner functional response
... universal existence and im- portance [1]. Recently, a predator–prey system with modified Holling–Tanner functional response was given in [2, 3] as ... See full document
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Dynamics of a stochastic cooperative predator prey system with Beddington DeAngelis functional response
... Beddington-DeAngelis functional response is ...the existence of global positive solution, which is stochastically bounded and ...stochastic system is globally asymptotically stable, which ... See full document
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Dynamics of a stochastic non autonomous predator prey system with Beddington DeAngelis functional response
... non-autonomous predator-prey system with Beddington-DeAngelis functional response is proposed, the existence of a global positive solution and stochastically ultimate boundedness ... See full document
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Qualitative analysis on a predator prey model with Ivlev functional response
... The predator-prey model has long been one of the dominant themes due to its universal existence and ...type predator-prey model; see [–] for example. The existence and ... See full document
14
Analysis of Delayed Prey-Predator System with Ratio-Dependent III Functional Response
... a prey-predator system with discrete time delay incorporating ratio-dependent III functional ...proposed system are determined and behavior of the system is investigated around ... See full document
12
Stochastic prey-predator system with foraging arena scheme
... natural response to the inevitable variability in the real world would be to consider stochastic model which incorporates some representation of randomness [14, ...stochastic prey-predator systems ... See full document
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Dynamics analysis of a stochastic non autonomous one predator–two prey system with Beddington–DeAngelis functional response and impulsive perturbations
... one-predator–two-prey system with Beddington–DeAngelis functional response and impulsive ...stochastic system. Then the limit of the average in time of the sample path of ... See full document
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Complex dynamics of a discrete predator–prey system with a strong Allee effect on the prey and a ratio dependent functional response
... discrete predator–prey system with a strong Allee effect on the prey and a ratio-dependent functional response, which is the discrete version of the continuous system in ... See full document
16
Stability analysis of prey predator system with Holling type functional response and prey refuge
... incorporating prey refuge is ...considered system is investigated, including stability, limit cycle and ...the functional response plays an important role in determining the dynamics of ... See full document
12
Analysis of a stochastic predator prey model with disease in the predator and Beddington DeAngelis functional response
... A predator-prey model with Beddington-DeAngelis functional response and disease in the predator population is proposed, corresponding to the deterministic system, a stochastic ... See full document
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