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
center manifold theoremBeddington-DeAngelis functional responsemodified Leslie-Gower schemeHolling type IVdouble Hopf-bifurcation
Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Ecology (92D40)
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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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