Role of fear in predator-prey system with intraspecific competition

DOI10.1016/j.matcom.2020.04.025OpenAlexW3021122133WikidataQ115569078 ScholiaQ115569078MaRDI QIDQ1998101

Debasis Mukherjee

Publication date: 6 March 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2020.04.025

zbMATH Keywords

stabilitypersistencepredator-prey systemHopf-bifurcationfear effect

Mathematics Subject Classification ID

Stability theory for ordinary differential equations (34Dxx) Genetics and population dynamics (92Dxx)

Related Items

Dynamics of discrete predator- prey system with fear effect and density dependent birth rate of the prey species ⋮ Effect of fear on two predator-one prey model in deterministic and fluctuating environment ⋮ Effects of fear in a fractional-order predator-prey system with predator density-dependent prey mortality ⋮ Impact of fear in a delay-induced predator-prey system with intraspecific competition within predator species ⋮ SPATIOTEMPORAL DYNAMICAL ANALYSIS OF A PREDATOR–PREY SYSTEM WITH FEAR AND GROUP DEFENSE IN PREY ⋮ Hopf bifurcation of a delayed predator–prey model with Allee effect and anti-predator behavior ⋮ The impact of fear effect on the dynamics of a delayed predator–prey model with stage structure ⋮ A mathematical model of population dynamics revisited with fear factor, maturation delay, and spatial coefficients ⋮ Bazykin's predator-prey model includes a dynamical analysis of a Caputo fractional order delay fear and the effect of the population-based mortality rate on the growth of predators ⋮ Dynamical behaviour of a predator-prey system encapsulating the fear affecting death rate of prey and intra-specific competition: revisited in a fluctuating environment

Cites Work

• Unnamed Item
• Unnamed Item
• Modelling the fear effect in predator-prey interactions
• The existence of an equilibrium for permanent systems
• A theorem on average Liapunov functions
• Criterion of Hopf bifurcations without using eigenvalues
• A three species food chain model with fear induced trophic cascade
• Impact of the fear effect in a prey-predator model incorporating a prey refuge
• Population dynamic consequences of fearful prey in a spatiotemporal predator-prey system
• Fear effect in prey and hunting cooperation among predators in a Leslie-Gower model
• Population dynamics with multiple Allee effects induced by fear factors -- a mathematical study on prey-predator interactions
• Dynamics of a predator-prey system with fear and group defense
• DYNAMICS OF A MODEL FOR VIRULENT PHAGE T4
• Stability and Bifurcation Analysis of a Three-Species Food Chain Model with Fear
• The effect of the fear factor on the dynamics of a predator-prey model incorporating the prey refuge
• Stability and Hopf Bifurcation in a Predator–Prey Model with the Cost of Anti-Predator Behaviors