Modeling the fear effect and stability of non-equilibrium patterns in mutually interfering predator-prey systems

DOI10.1016/j.amc.2019.124948zbMath1433.92042OpenAlexW2996313280WikidataQ115598131 ScholiaQ115598131MaRDI QIDQ2287697

Vandana Tiwari, Jai Prakash Tripathi, Swati Mishra, Ranjit Kumar Upadhyay

Publication date: 21 January 2020

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2019.124948

zbMATH Keywords

periodic orbitstranscritical bifurcationpredator-prey interactionsHopf-bifurcationTuring patternfear effect

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Pattern formations in context of PDEs (35B36)

Related Items (17)

Dynamics of predator-prey systems with prey's dispersal between patches ⋮ Stability of a fear effect predator–prey model with mutual interference or group defense ⋮ Spatiotemporal and bifurcation characteristics of a nonlinear prey-predator model ⋮ ROLE OF SPACE IN AN ECO-EPIDEMIC PREDATOR-PREY SYSTEM WITH THE EFFECT OF FEAR AND SELECTIVE PREDATION ⋮ Turing-Hopf bifurcation and bi-stable spatiotemporal periodic orbits in a delayed predator-prey model with predator-taxis ⋮ Modeling the cost of anti‐predator strategy in a predator‐prey system: The roles of indirect effect ⋮ TWO-FOLD IMPACTS OF FEAR IN A SEASONALLY FORCED PREDATOR–PREY SYSTEM WITH COSNER FUNCTIONAL RESPONSE ⋮ A systematic study of autonomous and nonautonomous predator-prey models with combined effects of fear, migration and switching ⋮ Hopf bifurcation analysis of a predator-prey model with prey refuge and fear effect under non-diffusion and diffusion ⋮ Global Hopf bifurcation of a diffusive modified Leslie-Gower predator-prey model with delay and Michaelis-Menten type prey harvesting ⋮ On a predator-prey model involving age and spatial structure ⋮ Dynamics analysis of a diffusive predator-prey model with spatial memory and nonlocal fear effect ⋮ Dynamical analysis and effects of law enforcement in a social interaction model ⋮ A NONAUTONOMOUS MODEL FOR THE INTERACTIVE EFFECTS OF FEAR, REFUGE AND ADDITIONAL FOOD IN A PREY–PREDATOR SYSTEM ⋮ Effects of fear and anti-predator response in a discrete system with delay ⋮ A delay non-autonomous model for the combined effects of fear, prey refuge and additional food for predator ⋮ DYNAMICS OF FRACTIONAL-ORDER PREDATOR–PREY MODEL INCORPORATING TWO DELAYS

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