Predator–prey models: A review of some recent advances

É Diz-Pita, MV Otero-Espinar - Mathematics, 2021 - mdpi.com
In recent years, predator–prey systems have increased their applications and have given
rise to systems which represent more accurately different biological issues that appear in the …

[PDF][PDF] Hopf bifurcation exploration and control technique in a predator-prey system incorporating delay

W Ou, C Xu, Q Cui, Y Pang, Z Liu, J Shen, MZ Baber… - Aims Math, 2024 - researchgate.net
Recently, delayed dynamical model has witnessed a great interest from many scholars in
biological and mathematical areas due to its potential application in describing the …

Hunting cooperation in a prey–predator model with maturation delay

Y Enatsu, J Roy, M Banerjee - Journal of Biological Dynamics, 2024 - Taylor & Francis
We investigate the dynamics of a prey–predator model with cooperative hunting among
specialist predators and maturation delay in predator growth. First, we consider a model …

Dynamics of an infected prey–generalist predator system with the effects of fear, refuge and harvesting: Deterministic and stochastic approach

N Sk, S Pal - The European Physical Journal Plus, 2022 - epjplus.epj.org
A predator–prey model with infection in the prey population, including fear, refuge and
harvesting factors, is proposed. An expression for basic reproduction number is obtained …

Complex dynamics of a generalist predator–prey model with hunting cooperation in predator

B Mondal, S Sarkar, U Ghosh - The European Physical Journal Plus, 2021 - Springer
The predator–prey models with hunting cooperation have a great significance in ecology.
Hunting cooperation by predators represents more realism in an ecological environment …

Allee effect in prey's growth reduces the dynamical complexity in prey-predator model with generalist predator

D Sen, S Ghorai, S Sharma, M Banerjee - Applied Mathematical Modelling, 2021 - Elsevier
Prey-predator models with Allee effect have great importance in the context of ecology. Allee
effect refers to a positive relationship between population density and per capita growth rate …

Complex dynamics in a two species system with Crowley–Martin response function: Role of cooperation, additional food and seasonal perturbations

B Mondal, AA Thirthar, N Sk, MA Alqudah… - … and Computers in …, 2024 - Elsevier
This research article investigates the interaction between prey and a generalist predator,
considering the effect of hunting cooperation. The predator–prey interaction is modeled …

Canards, relaxation oscillations, and pattern formation in a slow-fast ratio-dependent predator-prey system

PR Chowdhury, M Banerjee, S Petrovskii - Applied Mathematical Modelling, 2022 - Elsevier
The prey-predator system is an elementary building block in many complicated models of
ecological dynamics that exhibit complex dynamical behaviour and as such it remains to be …

Maturation delay induced stability enhancement and shift of bifurcation thresholds in a predator–prey model with generalist predator

J Roy, S Dey, M Banerjee - Mathematics and Computers in Simulation, 2023 - Elsevier
Discrete time delay has been widely used in models of interacting populations to capture
various biological processes such as gestation, maturation, food digestion, disease …

Oscillations and pattern formation in a slow–fast prey–predator system

PR Chowdhury, S Petrovskii, M Banerjee - Bulletin of mathematical …, 2021 - Springer
We consider the properties of a slow–fast prey–predator system in time and space. We first
argue that the simplicity of the prey–predator system is apparent rather than real and there …