Influence of fear effect and predator-taxis sensitivity on dynamical behavior of a predator-prey model

DOI10.1007/s00033-021-01659-8zbMath1486.34097OpenAlexW4200060154WikidataQ114231812 ScholiaQ114231812MaRDI QIDQ2070035

Luhong Ye, Yuxin Dong, Chuansheng Shen, Daiyong Wu

Publication date: 21 January 2022

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-021-01659-8

zbMATH Keywords

predator-preyHopf bifurcationfear effectpredator-taxis sensitivity

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (5)

Influence of Allee effect and delay on dynamical behaviors of a predator-prey system ⋮ Impacts of fear effect and nonlocal competition on a diffusive prey-predator model with delay ⋮ Dynamical analysis of a spatial memory prey-predator system with gestation delay and strong Allee effect ⋮ Dynamics of a harvested predator-prey model with predator-taxis ⋮ A predator–prey system with prey social behavior and generalized Holling III functional response: Role of predator‐taxis on spatial patterns

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• Dynamics of a predator-prey system with fear and group defense
• Dynamics of a non-autonomous ratio-dependent predator—prey system
• On the dynamics of predator-prey models with the Beddington-DeAngelis functional response

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