The effect of the defensive strategy taken by the prey on predator-prey interaction
type: Item
instance of: scholarly article
title: The effect of the defensive strategy taken by the prey on predator-prey interaction
zbMATH Open document ID: 1485.92103
author: Fethi Souna
author: Abdelkader Lakmeche
author: Salih Djilali
published in: Journal of Applied Mathematics and Computing
publication date: 2021-11-29T00:00:00Z
review text: A two-predator vs. one-prey predator-model model was proposed, where one predator grows in Malthusian way while the other one in time-delayed logistic manner and with functional response of group-defensive type. To study the impact of the strategy considered by the prey population on the evolution of the studied species, a couple of dynamics such as Hopf bifurcation in both the absence and the presence of time lags are disclosed and the stability of the periodic solution generated by the presence of the time lags are also discussed using the normal form. Some numerical simulations are provided for ensuring the obtained mathematical results.
reviewed by: Shengqiang Liu
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34K18
zbMATH DE Number: 7435153
zbMATH Keywords: competing predators
zbMATH Keywords: predator-prey model
zbMATH Keywords: group defence
zbMATH Keywords: time delay
zbMATH Keywords: Hopf bifurcation
MaRDI profile type: Publication
full work available at URL: s12190-020-01373-0
OpenAlex ID: W3036210048
Wikidata QID: Q115601596
cites work: Modeling herd behavior in population systems
cites work: Q4101645
cites work: Global analyses in some delayed ratio-dependent predator-prey systems
cites work: Q5574850
cites work: Predator-prey dynamics with square root functional responses
cites work: An Ecoepidemic Model with Prey Herd Behavior and Predator Feeding Saturation Response on Both Healthy and Diseased Prey
cites work: Shape effects on herd behavior in ecological interacting population models
cites work: Patchy agglomeration as a transition from monospecies to recurrent plankton blooms
cites work: Stability of fractional-order prey-predator system with time-delay and Monod-Haldane functional response
cites work: Effects of spatial grouping on the functional response of predators
cites work: Periodic Time-Dependent Predator-Prey Systems
cites work: Ecoepidemics with infected prey in herd defence: the harmless and toxic cases
cites work: Herd behavior in a predator-prey model with spatial diffusion: bifurcation analysis and Turing instability
cites work: A heroin epidemic model: very general non linear incidence, treat-age, and global stability
cites work: Impact of prey herd shape on the predator-prey interaction
cites work: EFFECT OF HERD SHAPE IN A DIFFUSIVE PREDATOR-PREY MODEL WITH TIME DELAY
cites work: Spatiotemporal patterns in a diffusive predator-prey model with prey social behavior
cites work: Pattern formation of a diffusive predator‐prey model with herd behavior and nonlocal prey competition
cites work: Spatiotemporal patterns induced by cross-diffusion in predator–prey model with prey herd shape effect
cites work: On periodic regimes triggered by herd behaviour in population systems
cites work: A mathematical model to describe the herd behaviour considering group defense
cites work: Mathematical and numerical analysis of a three‐species predator‐prey model with herd behavior and time fractional‐order derivative
cites work: Q4003237
cites work: Q3930015
cites work: Ecoepidemic predator-prey model with feeding satiation, prey herd behavior and abandoned infected prey
cites work: A Riesz Representation Theorem
cites work: Delay differential equations: with applications in population dynamics
cites work: Time delay in prey-predator models
cites work: A delayed prey–predator model with Crowley–Martin‐type functional response including prey refuge
cites work: Hopf bifurcation in a three-species system with delays
cites work: Social behavior-induced multistability in minimal competitive ecosystems
cites work: On the zeros of a third degree exponential polynomial with applications to a delayed model for the control of testosterone secretion
cites work: Mathematical analysis of a diffusive predator-prey model with herd behavior and prey escaping
cites work: A minimal model for ecoepidemics with group defense
cites work: Global dynamics of a predator-prey model with defense mechanism for prey
cites work: Analysis of a diffusive predator-prey system with anti-predator behaviour and maturation delay
cites work: Minimal model of plankton systems revisited with spatial diffusion and maturation delay
DOI: 10.1007/S12190-020-01373-0
description: scientific article; zbMATH DE number 7435153