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On the Traveling Wave Solutions of the Fractional Diffusive Predator—Prey System Incorporating an Allee Effect
We consider a system of two fractional-derivative order partial differential equations which describes the dynamics of predator-prey communications...
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Heterogeneity in Behaviour and Movement can Influence the Stability of Predator–Prey Periodic Travelling Waves
Cyclic predator–prey systems are often observed in nature. In a spatial setting, these can manifest as periodic traveling waves (PTW). Environmental...
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Global Hopf Bifurcation of a Diffusive Modified Leslie–Gower Predator–Prey Model with Delay and Michaelis–Menten Type Prey Harvesting
In this paper, we investigate the global Hopf bifurcation of a diffusive modified Leslie–Gower predator–prey model with delay and Michaelis–Menten...
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Coexistence States of a Ratio-Dependent Predator-Prey Model with Nonlinear Diffusion
In this work, we consider a two species ratio-dependent food chain model with nonlinear diffusion terms. Using bifurcation theory and a priori...
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Hopf bifurcation and Turing patterns for a diffusive predator–prey system with weak Allee effect
This paper is concerned with the dynamical properties of a simplified predator–prey system with weak Allee effect on prey. For the unique positive...
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Turing instability in a modified cross-diffusion Leslie–Gower predator–prey model with Beddington–DeAngelis functional response
In this paper, a modified cross-diffusion Leslie–Gower predator–prey model with the Beddington–DeAngelis functional response is studied. We use the...
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Boundedness and Stabilization in a Stage-Structured Predator–Prey Model with Two Taxis Mechanisms
In this paper, we investigate a predator–prey system with stage structure for the predator under Neumann boundary condition, which has not only the...
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Multiple Bifurcations in a Discrete Bazykin Predator–Prey Model with Predator Intraspecific Interactions and Ratio-Dependent Functional Response
A discrete Bazykin predator–prey model with predator intraspecific interactions and ratio-dependent functional response is proposed and investigated....
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The effects of diffusion on the dynamics of a Lotka-Volterra predator-prey model with a protection zone
This paper is concerned with the dynamics of a diffusive predator-prey model with a protection zone under homogeneous Neumann boundary conditions. By...
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Comparative Study of Deterministic and Stochastic Predator Prey System Incorporating a Prey Refuge
The goal of this research is to investigate the dynamical behaviour of a predator-prey system with Holling II functional response in a systematic...
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Impacts of fear effect and nonlocal competition on a diffusive prey–predator model with delay
Nonlocal prey competition, which describes that intra-prey competition is not only dependent on a location in space but also related to entire space,...
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On the existence of generalized solutions to a spatio-temporal predator–prey system with prey-taxis
In this paper we consider a pair of coupled nonlinear partial differential equations describing the interaction of a predator–prey pair including...
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Global Solution and Spatial Patterns for a Ratio-Dependent Predator–Prey Model with Predator-Taxis
This paper analyzes the dynamic behavior of a ratio-dependent predator–prey model with predator-taxis, which the prey can move in the opposite...
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The Impact of Allee Effect on a Leslie–Gower Predator–Prey Model with Hunting Cooperation
A Leslie–Gower predator–prey model with Allee effect on prey and hunting cooperation on predator is considered. We show the solution of model is...
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A higher-order noise perturbed predator–prey system with fear effect and mixed functional responses
In this contribution, a higher-order stochastically perturbed predator–prey system involving fear effect, Crowley–Martin functional response and a...
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Steady states of a diffusive predator-prey model with prey-taxis and fear effect
In this paper, a diffusive predator-prey system with a prey-taxis response subject to Neumann boundary conditions is considered. The stability, the...
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Analysis of a stochastic predator–prey system with fear effect and Lévy noise
This paper studies a stochastic predator–prey model with Beddington–DeAngelis functional response, fear effect, and Lévy noise, where the fear is of...
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Hopf Bifurcation and Stochastic Stability of a Prey-Predator Model Including Prey Refuge and Intra-specific Competition Between Predators
This study looked at the dynamics of a prey–predator mechanism with a Holling type II feature response that integrated prey refuge and the predator...
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Global dynamics of a generalist predator–prey model in open advective environments
This paper deals with a system of reaction–diffusion–advection equations for a generalist predator–prey model in open advective environments, subject...
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Spatiotemporal dynamics in a delayed diffusive predator–prey system with nonlocal competition in prey and schooling behavior among predators
The nonlocal competition in prey and schooling behavior among predators are incorporated in a delayed diffusive predator–prey model. Our main...
