Predator-Prey Model with Prey Group Defense and Non-linear Predator Harvesting

DOI10.1007/978-981-15-1338-1_9zbMath1447.92345OpenAlexW3005982909MaRDI QIDQ3294925

Rajat Kaushik, Sandip Banerjee

Publication date: 29 June 2020

Published in: Mathematical Modelling and Scientific Computing with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-15-1338-1_9

zbMATH Keywords

local stabilitypredator-preyHopf bifurcationstability switchesco-existence

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Environmental economics (natural resource models, harvesting, pollution, etc.) (91B76)

Cites Work

• Unnamed Item
• Global dynamics of a predator-prey model with defense mechanism for prey
• Bifurcation analysis and Turing instability in a diffusive predator-prey model with herd behavior and hyperbolic mortality
• Modeling herd behavior in population systems
• Stability, Hopf bifurcations and spatial patterns in a delayed diffusive predator-prey model with herd behavior
• Predator-prey dynamics with square root functional responses
• An impulsive two-stage predator-prey model with stage-structure and square root functional responses

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