Diffusive Predator-Prey System
A diffusive predator prey system with prey refuge and gestation delay
... diffusive predator-prey system with prey refuge and gestation delay is investigated in this ...non-delay system, global stability, Turing instability and Hopf bifurcation are ...delay ...
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Bifurcation analysis in a diffusive predator–prey system with Michaelis–Menten type predator harvesting
... the predator–prey model with harvesting has been studied widely by some scholars [21–24], who suggested that the harvesting term was closely re- lated to the long-termed stability of the ...of ...
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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 ...this system in which the space dimension is not more than five is ...
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Persistence and Turing instability in a cross diffusive predator–prey system with generalist predator
... In this section, we will illustrate the correctness of our results by five examples. In order to facilitate the reading for cross-disciplinary readers, we need to point out that persistence means that all populations are ...
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Dynamics of a diffusive Leslie–Gower predator–prey system with ratio dependent Holling III functional response
... nature, predator–prey relationship plays a significant role in ecology and mathematical ...a predator– prey ...in predator population has a reciprocal relationship with per capita ...
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Permanence, stability, and coexistence of a diffusive predator–prey model with modified Leslie–Gower and B–D functional response
... The main purpose of this section is to provide some sufficient conditions for the existence and nonexistence of a nonconstant positive solution of the steady states of system (2) by using the maximum principle, ...
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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 ...
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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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Diffusive instability in a prey predator system with time dependent diffusivity
... the prey and the competition rate of the predator, the system will be- come more stable with time-varying diffusivity than with constant ...the system with varying diffusivity will be more ...
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Diffusive induced global dynamics and bifurcation in a predator prey system
... of predator and prey distributions is more or less ...The predator or prey can flow from higher density regions to lower density ones, which is called normal ...
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Dynamics of a discrete time predator prey system
... discrete-time predator-prey ...the system undergoes a flip bifurcation and a Neimark-Sacker bifurcation by using center manifold theorem and bifurcation ...
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Discrete time bifurcation behavior of a prey predator system with generalized predator
... of prey and predator populations, ...of prey; b is harvesting rate of prey by predator; d denotes the death rate of predator; k denotes carrying capacity of the prey in a ...
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Dynamics of a predator–prey system with three species
... a system is of predator–prey type with two species, then sev- eral methods, including phase analysis, shooting methods, Conley index and fixed point theorem, have been applied to establish the ...
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Stability analysis of a fractional order prey-predator system with nonmonotonic functional response
... The rest of this paper is organized as follows: In Section 2, we present some basic materials on fractional calculus. A detailed analysis on the stability and Hopf bifurcation of the equilibria is carried out in Section ...
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Advantage of prey due to herd behavior in diseases selective system
... infected prey is much and no reproduction in infected ...where predator could only survive on the prey if some of the prey were more vulnerable due to ...a predator-prey ...
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Spatiotemporal dynamics of a predator–prey system with prey taxis and intraguild predation
... a predator kills and eats its ...between predator and prey is the most basic and is also ubiquitous in hu- man ...various predator–prey models have been studied, such as the stability, ...
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Predator-prey System with the Effect of Environmental Fluctuation
... Abstract: In this paper we study the trajectory behavior of Lotka - Volterra predator - prey systems with periodic coefficients under telegraph noises. We describe the ω - limit set of the solution, give ...
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Numerical Solutions of a Fractional Predator Prey System
... the prey population density and vx, y, t represents the predator population density, ϕx, φx denote initial conditions of population system; the nonlinear equation of this type has wide applications ...
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Permanence of the periodic predator prey mutualist system
... In this paper, we study the permanence and the periodic solution of the periodic predator-prey-mutualist system. It is well known that mutualist species can reduce the capture rate of the ...
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The dynamics of disease transmission in a Prey Predator System with harvesting of prey
... in predator-prey systems has been of interest to economists, ecologists and natural resource management for some time ...a predator–prey–parasite model and studied its effect on the ...
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