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Dynamics of the discrete-time Rosenzweig-MacArthur predator–prey system in the closed positively invariant set
This paper examines the discrete-time Rosenzweig-MacArthur predator–prey model featuring a general predator functional response. We determine the...
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Effect of fear and delay on a prey-predator model with predator harvesting
The relationship between prey and predator has been modelled, analysed from the early nineteenth century by considering different types of functional...
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The Behavior of a Predator–Prey System in a Stochastic Environment with Fear and Distributed Delay
The density of a population in a natural state often fluctuates greatly, but it is not an unlimited change. Throughout the full text, we consider a...
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Influence of Allee effect and delay on dynamical behaviors of a predator–prey system
In ecology, the relationship between prey and predator plays an important role in ecosystem structure and ecological balance. In this paper, a...
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Periodic Solutions in Kolmogorov-Type Predator–Prey Systems
We consider a class of prey-predator models, i.e., a Kolmogorov-type system. We are interested in their dynamics when a certain parameter (that can...
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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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Theoretical and numerical bifurcation analysis of a predator–prey system with ratio-dependence
The present paper investigates the critical normal form coefficients for the one-parameter and two-parameter bifurcations of a two-dimensional...
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Understanding Cannibalism Dynamics in Predator–Prey Interactions: Bifurcations and Chaos Control Strategies
The occurrence of cannibalism is common in natural colonies and can substantially affect the functional relationships between predators and prey....
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A Discrete-Time Predator-Prey Model with Selection and Mutation
We study a discrete-time predator-prey system with selection and mutation in the prey population where individuals are distributed over a finite...
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Dynamics Analysis for a Prey–Predator Evolutionary Game System with Delays
In this paper, we couple population dynamics and evolutionary game theory to establish a prey–predator system in which individuals in the predator...
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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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Global Dynamics of a Predator-Prey Model with a General Growth Rate Function and Carrying Capacity
In this paper, we investigate the global dynamics of a predator-prey model with a general growth rate function and carrying capacity. We prove that...
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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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Dynamics of Predator–Prey Model Based on Fear Effect with Bifurcation Analysis and Chaos Control
Recent studies on terrestrial vertebrates have unveiled a correlation between fear of predators and a reduction in anti-predator defenses, leading to...
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On the dynamics of a Leslie–Gower predator–prey ternary model with intraguild
In this paper, a predator–prey model with intraguild predation describing the evolution between three interacting species—namely prey, mesopredator...
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The Influence of Fear on Intraspecific Competition in Predator-Prey Dynamics: A Model-Based Study
The study explores the impact of fear levels and intra-species competition on the predator-prey system’s dynamics. High fear levels or competition...
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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...
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Hopf Bifurcation in a Predator–Prey System with Infection
AbstractWe study a model of a predator–prey system with possible infection of prey in the form of a three-dimensional system of ordinary...
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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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Bogdanov–Takens Bifurcation of Codimensions 3 and 4 in a Holling and Leslie type Predator–Prey System with Strong Allee Effect
In this paper, we revisit a Leslie type predator–prey system with strong Allee effect on prey and simplified Holling type IV functional response...
