Modelling the fear effect in a two-species predator-prey system under the influence of toxic substances

DOI10.1007/s12215-020-00570-xzbMath1481.34060OpenAlexW3095318343WikidataQ114688351 ScholiaQ114688351MaRDI QIDQ2243661

Amartya Das, G. P. Samanta

Publication date: 11 November 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-020-00570-x

zbMATH Keywords

global attractivitypersistenceextinctionItô formulafeartoxic

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ordinary differential equations and systems with randomness (34F05) Growth and boundedness of solutions to ordinary differential equations (34C11) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Mathematical psychology (91E99)

Related Items

Impact of fear in a delay-induced predator-prey system with intraspecific competition within predator species, Dynamics of a delayed toxin producing plankton model with variable search rate of zooplankton, A higher-order noise perturbed predator-prey system with fear effect and mixed functional responses, Oscillatory and transient dynamics of a slow-fast predator-prey system with fear and its carry-over effect, Impact of fear effect in a two prey-one predator system with switching behaviour in predation, Combining impact of velocity, fear and refuge for the predator–prey dynamics, Dynamic behavior analysis of a feedback control predator-prey model with exponential fear effect and Hassell-Varley functional response, Unnamed Item, Long-time behaviours of a stochastic predator-prey system with Holling-type II functional response and regime switching, Dynamics of a stochastic non-autonomous phytoplankton-zooplankton system involving toxin-producing phytoplankton and impulsive perturbations, Effect of fear and delay on a prey-predator model with predator harvesting, Dynamical behaviour of a predator-prey system encapsulating the fear affecting death rate of prey and intra-specific competition: revisited in a fluctuating environment

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Unnamed Item
• Dynamics of a stochastic density dependent predator-prey system with Beddington-DeAngelis functional response
• Modelling the fear effect in predator-prey interactions
• A two-species competitive system under the influence of toxic substances
• A delayed fractional order food chain model with fear effect and prey refuge
• Stochastic prey-predator model with additional food for predator
• A prey-predator model with refuge for prey and additional food for predator in a fluctuating environment
• Modeling the fear effect in predator-prey interactions with adaptive avoidance of predators
• Prey-predator dynamics with prey refuge providing additional food to predator
• A single predator charging a herd of prey: effects of self volume and predator–prey decision-making
• Kinetics of a diffusive capture process: lamb besieged by a pride of lions
• Stochastic Gomatam Model of Interacting Species: Non-Equilibrium Fluctuation and Stability
• Dynamics of a delayed predator–prey interaction incorporating nonlinear prey refuge under the influence of fear effect and additional food