Dynamics of a stage structure prey-predator model with ratio-dependent functional response and anti-predator behavior of adult prey

DOI10.3934/naco.2020033zbMath1478.92163OpenAlexW3027758834WikidataQ113201397 ScholiaQ113201397MaRDI QIDQ2061361

Shyamal Kumar Mondal, Soovoojeet Jana, Prabir Panja

Publication date: 13 December 2021

Published in: Numerical Algebra, Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/naco.2020033

zbMATH Keywords

global stabilityHopf bifurcationanti-predator behavioradult preyjuvenile preyratio dependent functional response

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ecology (92D40) Global stability of solutions to ordinary differential equations (34D23)

Related Items (2)

Effects of fear and anti-predator response in a discrete system with delay ⋮ Impact of fear on delayed three species food-web model with Holling type-II functional response

Cites Work

• Stability analysis of coexistence of three species prey-predator model
• Permanence for a delayed discrete ratio-dependent predator-prey system with Holling type functional response
• Bifurcation analysis of a predator-prey model with anti-predator behaviour
• Self-replication of spatial patterns in a ratio-dependent predator-prey model
• Global dynamics of a ratio-dependent predator-prey system
• A predator-prey model with diseases in both prey and predator
• Extinction and permanence of one-prey multi-predators of Holling type II function response system with impulsive biological control
• Hopf bifurcation and stability for predator-prey systems with Beddington-DeAngelis type functional response and stage structure for prey incorporating refuge
• Persistence in predator-prey systems with ratio-dependent predator influence
• A mathematical model for viral infection in toxin producing phytoplankton and zooplankton system
• Ratio-dependent predator–prey model: effect of environmental fluctuation and stability
• Infection in prey population may act as a biological control in ratio-dependent predator–prey models
• A Geometric Approach to Global-Stability Problems

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