[PDF] Top 20 Stability and Hopf bifurcation of a modified predator prey model with a time delay and square root response function
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Stability and Hopf bifurcation of a modified predator prey model with a time delay and square root response function
... of predator-prey models are one of the important subjects in ecology and math- ematical ...studied predator-prey models with delay and derived some important results ...the model ... See full document
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Hopf bifurcation analysis in a predator–prey model with two time delays and stage structure for the prey
... discussed predator–prey models with these fac- ...a predator–prey system with time delay and studied the effect of time delay on the ...the stability of ... See full document
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Analysis of stability and Hopf bifurcation in a fractional Gauss type predator–prey model with Allee effect and Holling type III functional response
... Kolmogorov model is a general continuous time predator–prey model, consisting of a system of first order differential equations ...Lotka–Volterra model [47], Gauss-type models ... See full document
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Hopf bifurcation of a delayed diffusive predator prey model with strong Allee effect
... 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
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Stability and bifurcation in a Holling type II predator–prey model with Allee effect and time delay
... asymptotic stability of its ...the prey population can bring about unstable or stable peri- odic ...functional response into the above system and proposed a system as ... See full document
21
Stability and Hopf bifurcation for a ratio dependent predator prey system with stage structure and time delay
... ratio-dependent predator-prey models have received much attention from scientists (see, for example, ...ratio-dependent predator-prey model with the Michaelis- Menten type functional ... See full document
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Stability and bifurcation analysis of a discrete predator–prey system with modified Holling–Tanner functional response
... biology model, if the size of population is rarely small, or the population has no overlapping generation, or people study population changes within certain intervals of time, the discrete-time ... See full document
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Turing instability and Hopf bifurcation in a predator–prey model with delay and predator harvesting
... of predator to prey, the handling time, and the magnitude of interference among predators, ...type predator–prey model with Crowley–Martin functional response, mainly ... See full document
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Dynamic analysis of a prey–predator model with state dependent control strategy and square root response function
... the prey population density and the predator population density at time t are de- noted by x(t) and y(t), respectively, r > 0 denotes the intrinsic birth rate when y ≡ 0, K > 0 refers to the ... See full document
13
Hopf bifurcation analysis in a predator–prey model with time delay and food subsidies
... of time delay on the stability of the positive equilibrium by analyzing the roots’ distribution of the associated characteristic ...that time delay will destabilize the equilibrium and ... See full document
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Delay induced Hopf bifurcation in a diffusive Holling–Tanner predator–prey model with ratio dependent response and Smith growth
... Holling–Tanner predator–prey model with ratio-dependent functional response and Simth growth subject to a homogeneous Neumann boundary ...local stability and a Hopf ... See full document
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Hopf Bifurcation Analysis for a Modified Time Delay Predator Prey System with Harvesting
... of predator-prey systems is one of the dominant subjects in ecology and mathematical ecology since Lotka [1] and Volterra [2] proposed the well- known predator-prey model ...the ... See full document
10
Threshold harvesting policy and delayed ratio-dependent functional response predator-prey model
... By the first assumption of above lemma, system (4.2) with τ = 0 is asymp- totically stable, while assumption (2) ensures that iω is not a root of Eq. (4.3). Thus, roughly speaking, Lemma 4.1 says that the delayed ... See full document
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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
... this model but with several constant arguments delayed and without the term of ...the model [1] with introduction of delays in Leslie–Gower ...asymptotic stability around the equi- librium ... See full document
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Stability and Hopf bifurcation in a delayed predator-prey system with parental care for predators
... stage-structured predator-prey model (stage structure on predators) with two discrete time delays has been ...the prey and their foods are provided by ...discrete time delays ... See full document
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Stability and Hopf bifurcation of a predator-prey model
... over time and ...the predator-prey model has become one of the most important research topics in mathematical ecology for nearly a ...same time, mathematicians used the theory of ... See full document
11
On the stability and Hopf bifurcation of a predator prey model
... a time delay predator-prey model with Holling type-IV functional response and stage-structured for the ...this model under the influence of gestation delay of the ... See full document
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Stability and hopf bifurcation analysis of an epidemiological model incorporating delay and media coverage
... (6) If β 1 A > d(d + γ + ε), from equation (6), we note that F( d+ε A ) < 0 and F( A d ) = mβ d 1 A − m(d + γ + ε) > 0. This implies that there exists at least a positive root N ∗ of F (N) = 0 in d+ε A ... See full document
14
Dynamics of a predator-prey system with prey refuge
... Bogdanov-Takens bifurcation may occur. In contrast, by the introduction of prey refuge providing addi- tional food to predator, our proposed model ...the, Hopf,and Bogdanov-Takens bi- ... See full document
21
Turing–Hopf bifurcation of a ratio dependent predator prey model with diffusion
... It is well known that the normal forms theory plays a very important role in the bifur- cation analysis. Faria developed a method to calculate normal forms near an equilibrium of partial functional differential equation ... See full document
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