Complex dynamics of sexually reproductive generalist predator and gestation delay in a food chain model: double Hopf-bifurcation to chaos

DOI10.1007/s12190-016-1048-1zbMath1375.92042OpenAlexW2516454782WikidataQ115601639 ScholiaQ115601639MaRDI QIDQ1677150

Ranjit Kumar Upadhyay, Debaldev Jana, V. Sree Hari Rao, Rashmi Agrawal

Publication date: 10 November 2017

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

Full work available at URL: https://doi.org/10.1007/s12190-016-1048-1

zbMATH Keywords

center manifold theoremBeddington-DeAngelis functional responsemodified Leslie-Gower schemeHolling type IVdouble Hopf-bifurcation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Ecology (92D40)

Related Items

Delayed carrying capacity induced subcritical and supercritical Hopf bifurcations in a predator-prey system ⋮ Intraspecific competition of predator for prey with variable rates in protected areas ⋮ Complex dynamics induced by multiple gestation delays in a Leslie–Gower‐type system with competitive interference ⋮ DYNAMIC RELATIONSHIP BETWEEN THE MUTUAL INTERFERENCE AND GESTATION DELAYS OF A HYBRID TRITROPHIC FOOD CHAIN MODEL ⋮ Bifurcation analysis of a modified Leslie-Gower model with Holling type-IV functional response and nonlinear prey harvesting ⋮ Bifurcation and bio-economic analysis of a prey-generalist predator model with Holling type IV functional response and nonlinear age-selective prey harvesting ⋮ Dynamical analysis of a predator-prey interaction model with time delay and prey refuge ⋮ Dynamical complexities in a predator-prey system involving teams of two prey and one predator ⋮ Switching to Nonhyperbolic Cycles from Codimension Two Bifurcations of Equilibria of Delay Differential Equations

Uses Software

• K2

Cites Work

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• Chaotic dynamics of a discrete predator-prey system with prey refuge
• Dynamics of a intraguild predation model with generalist or specialist predator
• The role of top predator interference on the dynamics of a food chain model
• Chaos in a three-species food chain model with a Beddington-DeAngelis functional response
• Dynamics of generalist predator in a stochastic environment: effect of delayed growth and prey refuge
• Delay differential equations: with applications in population dynamics
• Predator-prey model of Beddington-DeAngelis type with maturation and gestation delays
• Top-predator interference and gestation delay as determinants of the dynamics of a realistic model food chain
• The trade-off between mutual interference and time lags in predator-prey systems
• Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay
• Complex dynamic behavior in a viral model with delayed immune response
• The role of transmissible diseases in the Holling-Tanner predator-prey model
• Long-time behavior and Turing instability induced by cross-diffusion in a three species food chain model with a Holling type-II functional response
• Stability and Hopf bifurcation in a ratio-dependent predator-prey system with stage structure
• Permanence and global attractivity of the food-chain system with Holling IV type functional response
• Limit cycle and numerical similations for small and large delays in a predator-prey model with modified Leslie-Gower and Holling-type II schemes
• Stability and bifurcation in a Beddington-DeAngelis type predator-prey model with prey dispersal
• Stability and bifurcation analysis of a ratio-dependent predator-prey model with time delay
• Three-species food-chain models with mutual interference and time delays
• Effects of spatial grouping on the functional response of predators
• Study of a Leslie-Gower-type tritrophic population model
• Multiple periodic solutions of delayed predator--prey systems with type IV functional responses
• Double Hopf bifurcation in a container crane model with delayed position feedback
• The dynamic complexity of a three-species Beddington-type food chain with impulsive control strategy
• A food chain model with impulsive perturbations and Holling IV functional response
• Analysis of a delayed predator-prey model with ratio-dependent functional response and quadratic harvesting
• Wave of Chaos and Pattern Formation in Spatial Predator-Prey Systems with Holling Type IV Predator Response
• A Generalist Predator Regulating Spread of a Wildlife Disease: Exploring Two Infection Transmission Scenarios
• EFFECT OF PARASITIC INFECTION IN THE LESLIE–GOWER PREDATOR–PREY MODEL
• On Nonlinear Dynamics of Predator-Prey Models with Discrete Delay
• Oscillation and Chaos in Physiological Control Systems
• Chaos: An Ecological Reality?
• Delay-Induced Double Hopf Bifurcations in a System of Two Delay-Coupled van der Pol–Duffing Oscillators

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