[HTML][HTML] Dynamics of adding variable prey refuge and an Allee effect to a predator–prey model

H Molla, S Sarwardi, M Haque - Alexandria Engineering Journal, 2022 - Elsevier
Prey refuge from predators can play an important role in stabilising an ecological system by
reducing interactions between species, while Allee effects can arise from a range of …

Stability and bifurcation in a predator–prey model with the additive Allee effect and the fear effect

L Lai, Z Zhu, F Chen - Mathematics, 2020 - mdpi.com
We proposed and analyzed a predator–prey model with both the additive Allee effect and
the fear effect in the prey. Firstly, we studied the existence and local stability of equilibria …

Bifurcation analysis of a predator–prey model with Allee effect and fear effect in prey and hunting cooperation in predator

AK Umrao, PK Srivastava - Differential Equations and Dynamical Systems, 2023 - Springer
Studying predator–prey interactions with the help of mathematical modeling is helpful in
understanding the mechanism, making informed decisions about their management and …

Dynamics of an intraguild predation food web model with strong Allee effect in the basal prey

D Bai, Y Kang, S Ruan, L Wang - Nonlinear analysis: real world …, 2021 - Elsevier
Since intraguild predation (IGP) is a ubiquitous and important community module in nature
and Allee effect has strong impact on population dynamics, in this paper we propose a three …

Stability and Hopf Bifurcation of Three‐Species Prey‐Predator System with Time Delays and Allee Effect

FA Rihan, HJ Alsakaji, C Rajivganthi - Complexity, 2020 - Wiley Online Library
Allee effect is one of the important factors in ecology, and taking it into account can cause
significant impacts in the system dynamics. In this paper, we study the dynamics of a two …

[HTML][HTML] Revisiting the spatiotemporal dynamics of a diffusive predator-prey system: an analytical approach

D Kumar, MM Hasan, GC Paul, D Debnath, N Mondal… - Results in Physics, 2023 - Elsevier
This study investigates some analytic solutions and phase portraits to the diffusive predator-
prey system in studying the spatiotemporal dynamics of a predator-prey community in …

Dynamics of a two-prey one-predator model with fear and group defense: A study in parameter planes

R Kumbhakar, M Hossain, N Pal - Chaos, Solitons & Fractals, 2024 - Elsevier
Ecosystems are profoundly affected by the predator–prey relationship. During foraging, prey
animals balance food and safety demands, and adopt anti-predator behaviors to increase …

Role of Allee effect on prey–predator model with component Allee effect for predator reproduction

U Kumar, PS Mandal - Mathematics and Computers in Simulation, 2022 - Elsevier
In the context of prey–predator interaction, Allee effect can have a significant impact and
capture the complex dynamics in ecology. In this work, we modify the predator–prey model …

[HTML][HTML] A widespread interaction between generalist and specialist enemies: The role of intraguild predation and Allee effect

JP Tripathi, PS Mandal, A Poonia, VP Bajiya - Applied Mathematical …, 2021 - Elsevier
A natural food web system involves a diverse community of natural enemies and one of the
widespread and common phenomena of such systems is intraguild predation (IGP)(ie …

Bifurcation analysis of a delay-induced predator–prey model with Allee effect and prey group defense

Y Ye, Y Zhao - International Journal of Bifurcation and Chaos, 2021 - World Scientific
In this paper, we establish a predator–prey model with focus on the Allee effect and prey
group defense. The positivity and boundedness of the model, existence of equilibrium point …