Modeling the cost of anti‐predator strategy in a predator‐prey system: The roles of indirect effect

DOI10.1002/mma.8044zbMath1529.34074OpenAlexW4200403923MaRDI QIDQ6141490

Jai Prakash Tripathi, Sarita Bugalia, Gui-Quan Sun, Nisha Gupta, Vandana Tiwari, Jing Li, Debaldev Jana

Publication date: 19 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8044

zbMATH Keywords

Hopf bifurcationstability regionNyquist criteriongestation delaypredator-prey interaction modelfear effects

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Stationary solutions of functional-differential equations (34K21)

Related Items (3)

Turing-Hopf bifurcation and bi-stable spatiotemporal periodic orbits in a delayed predator-prey model with predator-taxis ⋮ Understanding cannibalism dynamics in predator-prey interactions: bifurcations and chaos control strategies ⋮ Dynamic analysis of a diffusive predator-prey model with hunting cooperation functional response and prey-taxis

Cites Work

• Unnamed Item
• Delay differential equations: with applications in population dynamics
• Predator-prey model of Beddington-DeAngelis type with maturation and gestation delays
• Modelling the fear effect in predator-prey interactions
• Dynamical analysis of a prey-predator model with Beddington-DeAngelis type function response incorporating a prey refuge
• The trade-off between mutual interference and time lags in predator-prey systems
• A density dependent delayed predator-prey model with Beddington-DeAngelis type function response incorporating a prey refuge
• Dynamical analysis of a predator-prey interaction model with time delay and prey refuge
• Interaction between prey and mutually interfering predator in prey reserve habitat: pattern formation and the Turing-Hopf bifurcation
• Spatial dynamics of an epidemic model with nonlocal infection
• Global analysis of a delayed density dependent predator-prey model with Crowley-Martin functional response
• Interactions of diffusion and nonlocal delay give rise to vegetation patterns in semi-arid environments
• Modeling the fear effect and stability of non-equilibrium patterns in mutually interfering predator-prey systems
• Pattern dynamics of a delayed eco-epidemiological model with disease in the predator
• Study on a non-autonomous predator-prey system with Beddington-DeAngelis functional response
• Modeling the fear effect in predator-prey interactions with adaptive avoidance of predators
• Stability and Hopf Bifurcation of a Delayed Density-Dependent Predator–Prey System with Beddington–DeAngelis Functional Response
• A RATIO-DEPENDENT PREDATOR-PREY MODEL WITH DELAY AND HARVESTING
• On Nonlinear Dynamics of Predator-Prey Models with Discrete Delay
• Stability and Bifurcation Analysis of a Three-Species Food Chain Model with Fear
• Coexistence States and Global Attractivity for Some Convective Diffusive Competing Species Models
• An Introduction to Mathematical Epidemiology
• On the dynamics of predator-prey models with the Beddington-DeAngelis functional response
• Modeling and analysis of a predator-prey model with disease in the prey

This page was built for publication: Modeling the cost of anti‐predator strategy in a predator‐prey system: The roles of indirect effect