Controlling chaos in three species food chain model with fear effect

DOI10.3934/math.2020056zbMath1484.92075OpenAlexW2997056203MaRDI QIDQ2132832

Vikas Kumar, Nitu Kumari

Publication date: 28 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2020056

zbMATH Keywords

chaosbifurcationlocal stabilitynumerical simulationfear effect

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Chaos control for problems involving ordinary differential equations (34H10)

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Cites Work

• The chaos and control of a food chain model supplying additional food to top-predator
• Modelling the fear effect in predator-prey interactions
• Study of a Leslie-Gower-type tritrophic population model
• Pattern formation of a predator-prey model with the cost of anti-predator behaviors
• Chaotic population dynamics and biology of the top-predator
• Impact of the fear effect in a prey-predator model incorporating a prey refuge
• Hopf-Hopf bifurcation and chaotic attractors in a delayed diffusive predator-prey model with fear effect
• Population dynamics with multiple Allee effects induced by fear factors -- a mathematical study on prey-predator interactions
• Backward bifurcation, oscillations and chaos in an eco-epidemiological model with fear effect
• Stability and Bifurcation Analysis of a Three-Species Food Chain Model with Fear