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 …

Dynamical analysis of a delayed food chain model with additive Allee effect

S Vinoth, R Sivasamy, K Sathiyanathan… - Advances in Difference …, 2021 - Springer
Dynamical analysis of a delayed tri-trophic food chain consisting of prey, an intermediate,
and a top predator is investigated in this paper. The additive Allee effect is introduced in the …

Maturation delay for the predators can enhance stable coexistence for a class of prey–predator models

M Banerjee, Y Takeuchi - Journal of theoretical biology, 2017 - Elsevier
Maturation time delay for the predators is introduced in prey–predator models to implicitly
model the stage-structure of predators. Most of the prey–predator models with maturation …

A matter of maturity: To delay or not to delay? Continuous‐time compartmental models of structured populations in the literature 2000–2016

SL Robertson, SM Henson, T Robertson… - Natural Resource …, 2018 - Wiley Online Library
Structured compartmental models in mathematical biology track age classes, stage classes,
or size classes of a population. Structured modeling becomes important when mechanistic …

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 …

Predator-prey system: Prey's counter-attack on juvenile predators shows opposite side of the same ecological coin

R Kaushik, S Banerjee - Applied Mathematics and Computation, 2021 - Elsevier
The dynamics of a predator-prey model with stage-structure on predator and counter-
attacking behavior such that the prey can attack juvenile predator, is investigated in this …

Long-term transients and complex dynamics of a stage-structured population with time delay and the Allee effect

AY Morozov, M Banerjee, SV Petrovskii - Journal of theoretical biology, 2016 - Elsevier
Traditionally, mathematical modeling in population ecology is mainly focused on asymptotic
behavior of the model, ie as given by the system attractors. Recently, however, transient …

Effect of fear and delay on a prey-predator model with predator harvesting

P Majumdar, B Mondal, S Debnath, S Sarkar… - Computational and …, 2022 - Springer
The relationship between prey and predator has been modelled, analysed from the early
nineteenth century by considering different types of functional responses and ecological …

Global dynamics in a Beddington–DeAngelis prey–predator model with density dependent death rate of predator

K Garain, U Kumar, PS Mandal - Differential Equations and Dynamical …, 2021 - Springer
The article aims to investigate a prey–predator model which includes density dependent
death rate for predators and Beddington–DeAangelis type functional response. We observe …

Bifurcation analysis in a prey–predator model with nonlinear predator harvesting

J Liu, L Zhang - Journal of the Franklin Institute, 2016 - Elsevier
In this paper, the spatiotemporal dynamics of a delayed diffusive prey–predator model with
nonlinear predator harvesting is investigated. Through mathematical analysis, we obtain the …