Stability switching and chaos in a multiple delayed prey–predator model with fear effect and anti-predator behavior

B Dubey, A Kumar - Mathematics and Computers in Simulation, 2021 - Elsevier
Recent studies demonstrate that the density of prey population is not only affected by direct
killing by the predator, but the fear in prey caused by predator also reduces it by cutting …

On nonlinear dynamics of predator-prey models with discrete delay

S Ruan - Mathematical Modelling of Natural Phenomena, 2009 - cambridge.org
In this survey, we briefly review some of our recent studies on predator-prey models with
discrete delay. We first study the distribution of zeros of a second degree transcendental …

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 additional food provided predator–prey system with prey refuge dependent on both species and constant harvest in predator

S Mondal, GP Samanta - Physica A: Statistical Mechanics and Its …, 2019 - Elsevier
In the present work, we investigate on the dynamics of predator–prey model with prey refuge
in proportion to both species and the effect of additional food provided to the predator. A …

Global stability and Hopf-bifurcation of prey-predator system with two discrete delays including habitat complexity and prey refuge

B Dubey, A Kumar, AP Maiti - Communications in Nonlinear Science and …, 2019 - Elsevier
In this paper, we consider a two-dimensional prey-predator system with two delays. One
delay is for negative feedback of the prey population and another is for gestation delay of the …

Dynamics of prey–predator model with stage structure in prey including maturation and gestation delays

B Dubey, A Kumar - Nonlinear Dynamics, 2019 - Springer
This study proposes a three-dimensional prey–predator model with stage structure in prey
(immature and mature) including maturation delay in prey population and gestation delay in …

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 …

Stability and bifurcation analysis of a three-species food chain model with delay

N Pal, S Samanta, S Biswas, M Alquran… - … Journal of Bifurcation …, 2015 - World Scientific
In the present paper, we study the effect of gestation delay on a tri-trophic food chain model
with Holling type-II functional response. The essential mathematical features of the proposed …

Stability switches and double Hopf bifurcation in a two-neural network system with multiple delays

ZG Song, J Xu - Cognitive Neurodynamics, 2013 - Springer
Time delay is an inevitable factor in neural networks due to the finite propagation velocity
and switching speed. Neural system may lose its stability even for very small delay. In this …

Global behaviour of an SIR epidemic model with time delay

JM Tchuenche, A Nwagwo… - Mathematical methods in …, 2007 - Wiley Online Library
We study the stability of a delay susceptible–infective–recovered epidemic model with time
delay. The model is formulated under the assumption that all individuals are susceptible …