STABILITY AND BIFURCATION ANALYSIS OF A DISCRETE PREY–PREDATOR MODEL WITH SQUARE-ROOT FUNCTIONAL RESPONSE AND OPTIMAL HARVESTING

DOI10.1142/S0218339020500047zbMath1445.92234OpenAlexW3013075322WikidataQ115523347 ScholiaQ115523347MaRDI QIDQ5120284

Uttam Ghosh, Susmita Sarkar, Prabir Chakraborty

Publication date: 9 September 2020

Published in: Journal of Biological Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218339020500047

zbMATH Keywords

stabilityfixed pointsbifurcation and chaosherd behaviordiscrete predator-prey systemsquare-root functional responses

Mathematics Subject Classification ID

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

Related Items (8)

Bifurcation and Chaos in a Phytoplankton–Zooplankton Model with Holling Type-II Response and Toxicity ⋮ Dynamic analysis of a predator-prey system with nonlinear prey harvesting and square root functional response ⋮ Discrete-time phytoplankton-zooplankton model with bifurcations and chaos ⋮ Stability, collapse and hyperchaos in a class of tri-trophic predator-prey models ⋮ Dynamical analysis of a two-dimensional discrete predator-prey model ⋮ Dynamical analysis of a three-species discrete biological system with scavenger ⋮ Bifurcation analysis of a discrete Phytoplankton–Zooplankton model with linear predational response function and toxic substance distribution ⋮ Subcritical Neimark–Sacker bifurcation and hybrid control in a discrete-time Phytoplankton–Zooplankton model

Cites Work

• Unnamed Item
• Unnamed Item
• Ecoepidemic predator-prey model with feeding satiation, prey herd behavior and abandoned infected prey
• Stability analysis in a delayed prey-predator-resource model with harvest effort and stage structure
• Effects of additional foods to predators on nutrient-consumer-predator food chain model
• Disease control in a food chain model supplying alternative food
• Global dynamics and bifurcation in a stage structured prey-predator fishery model with harvest\-ing
• Diseased prey predator model with general Holling type interactions
• Optimal control of harvest and bifurcation of a prey-predator model with stage structure
• Modeling herd behavior in population systems
• Bifurcation and control of a bioeconomic model of a prey-predator system with a time delay
• Bifurcation analysis of discrete survival red blood cells model
• Solving ratio-dependent predator-prey system with constant effort harvesting using Adomian decomposition method
• Global dynamics of an additional food provided predator-prey system with constant harvest in predators
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Dynamical analysis of a ratio-dependent predator-prey model with Holling III type functional response and nonlinear harvesting in a random environment
• Theoretical analysis of an imprecise prey-predator model with harvesting and optimal control
• Predator-prey dynamical behavior and stability analysis with square root functional response
• Bionomic equilibrium of two-species system. I
• Predator-prey dynamics with square root functional responses
• Stability, bifurcation analysis and chaos control of a discrete predator-prey system with square root functional response
• Ecoepidemics with infected prey in herd defence: the harmless and toxic cases
• A MINIMAL MODEL FOR ECOEPIDEMICS WITH GROUP DEFENSE
• Bifurcation analysis in a discrete BAM network model with delays
• Optimal Control of Nonlinear Processes

This page was built for publication: STABILITY AND BIFURCATION ANALYSIS OF A DISCRETE PREY–PREDATOR MODEL WITH SQUARE-ROOT FUNCTIONAL RESPONSE AND OPTIMAL HARVESTING