Time-delayed and stochastic effects in a predator–prey model with ratio dependence and Holling type III functional response
From MaRDI portal
Publication:5011768
DOI10.1063/5.0055623zbMath1468.92054OpenAlexW3185029431WikidataQ115553579 ScholiaQ115553579MaRDI QIDQ5011768
Konstantin B. Blyuss, Serhii N. Kyrychko, Yuliya N. Kyrychko
Publication date: 27 August 2021
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/5.0055623
Related Items (3)
Multiple bifurcations in a discrete Bazykin predator-prey model with predator intraspecific interactions and ratio-dependent functional response ⋮ A non-stochastic control with admissible probabilities for SDDEs, application to linear reactors ⋮ Global Hopf bifurcation of a diffusive modified Leslie-Gower predator-prey model with delay and Michaelis-Menten type prey harvesting
Cites Work
- Unnamed Item
- Unnamed Item
- Stability and Hopf bifurcation analysis of a ratio-dependent predator-prey model with two time delays and Holling type III functional response
- Delay differential equations: with applications in population dynamics
- Persistence and global stability of a ratio-dependent predator-prey model with stage structure
- Permanence for a delayed discrete ratio-dependent predator-prey system with Holling type functional response
- A derivation of Holling's type I, II and III functional responses in predator-prey systems
- Control of mosaic disease using microbial biostimulants: insights from mathematical modelling
- Ratio-dependent predator-prey models of interacting populations
- Dynamic behavior of a parasite-host model with general incidence
- Alternative models for cyclic lemming dynamics
- Stochastic delay differential equations for genetic regulatory networks
- About deterministic extinction in ratio-dependent predator-prey models
- The Poincaré-Bendixson theorem for monotone cyclic feedback systems
- Computing the heteroclinic bifurcation curves in predator-prey systems with ratio-dependent functional response
- Global dynamics of a ratio-dependent predator-prey system
- Emergence of Holling type III zooplankton functional response: bringing together field evidence and mathematical modelling
- A stage structured predator-prey model and its dependence on maturation delay and death rate
- The Poincaré-Bendixson theorem for monotone cyclic feedback systems with delay
- On a prey-predator reaction-diffusion system with Holling type III functional response
- Effects of vector maturation time on the dynamics of cassava mosaic disease
- Sustained oscillations via coherence resonance in SIR
- Stochastic dynamics in a time-delayed model for autoimmunity
- A new approach to simulating stochastic delayed systems
- Traveling waves in a diffusive predator-prey model with Holling type-III functional response
- Dynamical analysis of a delayed ratio-dependent prey-predator model within fluctuating environment
- Multiple bifurcations in a predator--prey system with monotonic functional response
- Pseudospectral approximation of eigenvalues of derivative operators with nonlocal boundary conditions
- A delayed ratio-dependent predator-prey model of interacting populations with Holling type III functional response
- Predator-prey equations simulating an immune response
- Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters
- Spatial pattern in a diffusive predator–prey model with sigmoid ratio-dependent functional response
- Global analyses in some delayed ratio-dependent predator-prey systems
- Delay chemical master equation: direct and closed-form solutions
- A Stage-structured Predator-prey Model of Beddington-DeAngelis Type
- Generalized Predator-Prey Oscillations in Ecological and Economic Equilibrium
This page was built for publication: Time-delayed and stochastic effects in a predator–prey model with ratio dependence and Holling type III functional response