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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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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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Modelling the Dynamics in a Predator–Prey System with Allee Effects and Anti-predator Behavior
This paper studies a predator–prey model with strong and weak Allee effects and anti-predator behavior using a dynamical system approach. We perform...
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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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Unveiling the dynamics of canard cycles and global behaviour in a singularly perturbed predator–prey system with Allee effect in predator
In this article, we have considered a planar slow–fast modified Leslie–Gower predator–prey model with a weak Allee effect in the predator, based on...
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A Mathematical Analysis of Nonlinear Predator-Prey System with Poaching Effect
In this article, we have employed mathematical analysis and numerical simulations of a predator-prey model to describe the effect of predation on the...
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Effect of Nonlinear Prey Refuge on Predator–Prey Dynamics
A mathematical model on predator–prey dynamics is analyzed in this study. In traditional models, prey refuge is usually taken constant which is...
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Mathematical Scrutiny of Singular Predator-Prey Model with Stage-Structure of Prey
In this paper, a stage structured predator-prey model with Holling type II functional response is formulated, considering the juvenile prey as the...
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Bifurcation Analysis of a Predator–Prey Model with Allee Effect and Fear Effect in Prey and Hunting Cooperation in Predator
Studying predator–prey interactions with the help of mathematical modeling is helpful in understanding the mechanism, making informed decisions about...
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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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Dynamics of a predator–prey fishery model with birth pulse, impulsive releasing and harvesting on prey
This paper presents a predator–prey fishery model with impulsive effects, which considers transient/nontransient pulse birth and introduces the...
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Bifurcation and Stability Analysis of a Discrete Predator–Prey Model with Alternative Prey
In this paper, we investigate the dynamics of a class of discrete predator–prey model with alternative prey. We prove the boundedness of the...
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A novel mechanism measurement of predator interference in predator–prey models
A characteristic of ecosystems is the existence of manifold of independencies which are highly complex. Various mathematical models have made...
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Complex dynamic behaviour on fractional predator–prey model of mathematical ecology
In this paper, we present a mathematical predator–prey model in which the predator population is divided into two stages: mature (adult) stage and...
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Stability analysis of Filippov prey–predator model with fear effect and prey refuge
Mathematical ecosystems play a crucial role in our comprehension and conservation of ecology. Within these ecosystems, prey exhibits protective...
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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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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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The Application of Liénard Transformations to Predator–Prey Systems
This paper discusses the different ways a planar autonomous predator–prey system can be transformed to a Liénard system. The procedure is applied to...
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Dynamics of a ricker type predator–prey model
This paper investigates a discrete-time predator–prey model using the Ricker population model and Holling type II functional response. The main...
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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...