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Diffusion-Driven Instability and Bifurcation in the Predator–Prey System with Allee Effect in Prey and Predator Harvesting
Modelling of predator–prey interactions has vast history in ecological theory and these models have been developed in large scale since the initial...
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Hopf Bifurcation Analysis of a Predator–Prey Model with Prey Refuge and Fear Effect Under Non-diffusion and Diffusion
In this paper, we propose a predator–prey model with prey refuge and fear effect under non-diffusion and diffusion. For the non-diffusion ODE model,...
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Dynamics of a Predator–Prey Model with Memory-Based Diffusion
In this paper, we propose and analyze a diffusive predator–prey model with memory-based diffusion, which is described by a delayed predator-taxis...
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Impact of Prey Refuge in a Diffusive Prey Predator Model with Prey Harvesting, Mutually Interfering Predator and Additional Food for Predator
In this paper, various patterns in a predator–prey system with prey refuge are investigated where mutually interfering predator, prey harvesting, and...
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Roles of delay on a food-limited predator–prey model with prey-taxis
Due to the attraction or repulsion towards some chemical signals, prey and predator may move in a specific direction. We establish a food-limited...
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On the Stability Analysis of a Reaction-Diffusion Predator-Prey Model Incorporating Prey Refuge
This paper aims to investigate the stability behavior of a spatio-temporal prey-predator model. The goal is to study, in the framework of a...
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Turing Patterns Induced by Cross-Diffusion in a Predator–Prey System with Functional Response of Holling-II Type
In this article, a classical predator–prey system with linear cross-diffusion and Holling-II type functional response and subject to homogeneous...
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Qualitative analysis of a prey–predator model with prey refuge and intraspecific competition among predators
In this study, we consider a prey–predator model with prey refuge and intraspecific competition between predators using the Crowley–Martin functional...
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Turing Patterns in a Predator–Prey Reaction–Diffusion Model with Seasonality and Fear Effect
In this paper, we study a predator–prey reaction–diffusion model with seasonality and fear effect. In this model, the predator species reproduces...
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Predator-induced prey dispersal can cause hump-shaped density-area relationships in prey populations
Predation can both reduce prey abundance directly (through density-dependent effects) and indirectly through prey trait-mediated effects. Over the...
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The persistence of solutions in a nonlocal predator-prey system with a shifting habitat
In this paper, we mainly study the propagation properties of a nonlocal dispersal predator-prey system in a shifting environment. It is known that...
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Stability and Turing Patterns of a Predator-prey Model with Holling Type II Functional Response and Allee Effect in Predator
In this paper, we are concerned with a predator-prey model with Holling type II functional response and Allee effect in predator. We first...
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Dynamic Analysis of a Diffusive Predator–Prey Model with Hunting Cooperation Functional Response and Prey-Taxis
Prey-taxis shows the tendency of predator moving toward the direction of gradient of prey density function. It is well known that it plays an...
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Stability and bifurcation in a reaction–diffusion–advection predator–prey model
A reaction–diffusion–advection predator–prey model with Holling type-II predator functional response is considered. We show the stability/instability...
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Dynamics of a Harvested Predator–Prey Model with Predator-Taxis
Effects of predator-taxis on the dynamics of a predator–prey model with Michaelis–Menten type nonlinear harvesting are considered in this paper....
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Spatio-Temporal Steady-State Analysis in a Prey-Predator Model with Saturated Hunting Cooperation and Chemotaxis
In this paper, we propose a diffusive prey-predator model with saturated hunting cooperation and predator-taxis. We first establish the global...
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Stable spatially inhomogeneous periodic solutions for a diffusive Leslie–Gower predator–prey model
The main objective of this thesis is to learn about the dynamics of a diffusive Leslie–Gower predator–prey system with functional response and time...
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Stationary distribution of a stochastic three species predator–prey model with anti-predator behavior
A stochastic three species predator–prey model with intermediate predator and anti-predator behavior is established and studied in this paper. By...
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Analytical detection of stationary and dynamic patterns in a prey–predator model with reproductive Allee effect in prey growth
Allee effect in population dynamics has a major impact in suppressing the paradox of enrichment through global bifurcation, and it can generate...
