Bifurcation of a delayed gause predator-prey model with Michaelis-Menten type harvesting
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Publication:1752423
DOI10.1016/j.jtbi.2017.11.007zbMath1394.92109OpenAlexW2767876947WikidataQ47611660 ScholiaQ47611660MaRDI QIDQ1752423
Publication date: 24 May 2018
Published in: Journal of Theoretical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jtbi.2017.11.007
Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20)
Related Items (22)
Dynamical analysis of a competition and cooperation system with multiple delays ⋮ Compensatory and overcompensatory dynamics in prey-predator systems exposed to harvest ⋮ Stationary distribution of a stochastic predator-prey model with distributed delay and general functional response ⋮ Dynamics of a stochastic predator-prey model with distributed delay and Markovian switching ⋮ Dynamics of a stochastic Holling-Tanner predator-prey model ⋮ GLOBAL DYNAMICS OF A PREY–PREDATOR MODEL WITH HOLLING TYPE III FUNCTIONAL RESPONSE IN THE PRESENCE OF HARVESTING ⋮ Periodic dynamics of a single species model with seasonal Michaelis-Menten type harvesting. II: Existence of two periodic solutions ⋮ Multiple dynamics in a delayed predator‐prey model with asymmetric functional and numerical responses ⋮ Bifurcation analysis and optimal control of a delayed single-species fishery economic model ⋮ Global dynamics of a competitive system with seasonal succession and different harvesting strategies ⋮ Periodic dynamics of a single species model with seasonal Michaelis-Menten type harvesting ⋮ Dynamical behavior of stochastic predator-prey models with distributed delay and general functional response ⋮ Global Hopf bifurcation of a diffusive modified Leslie-Gower predator-prey model with delay and Michaelis-Menten type prey harvesting ⋮ Coexistence in seasonally varying predator-prey systems with Allee effect ⋮ Dynamic behaviors of a discrete-time predator-prey bioeconomic system ⋮ Explicit impacts of harvesting in delayed predator-prey models ⋮ The influence of commensalism on a Lotka-Volterra commensal symbiosis model with Michaelis-Menten type harvesting ⋮ Harvesting induced stability and instability in a tri-trophic food chain ⋮ Traveling wave phenomena in a nonlocal dispersal predator-prey system with the Beddington-DeAngelis functional response and harvesting ⋮ Stability and bifurcation for a stochastic differential algebraic Holling-II predator–prey model with nonlinear harvesting and delay ⋮ Almost periodic solutions of a commensalism system with Michaelis-Menten type harvesting on time scales ⋮ The dynamics of a bioeconomic model with Michaelis-Menten type prey harvesting
Cites Work
- Positive periodic solutions in a non-selective harvesting predator-prey model with multiple delays
- Complexity in a predator-prey-parasite model with nonlinear incidence rate and incubation delay
- Local stability analysis of ratio-dependent predator-prey models with predator harvesting rates
- Non-selective harvesting in prey--predator models with delay
- The diffusive Lotka-Volterra predator-prey system with delay
- Stability and Hopf bifurcation for a delayed prey-predator system with diffusion effects
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Applications of centre manifold theory
- Discrete delay, distributed delay and stability switches
- \(S^ 1\)-degree and global Hopf bifurcation theory of functional differential equations
- Stability analysis of a predator-prey system with mutual interference and density-dependent death rates
- Introduction to functional differential equations
- Predator-prey models with delay and prey harvesting
- Bifurcation analysis in a discrete differential-algebraic predator-prey system
- Periodic solutions for a neutral delay Hassell-Varley type predator-prey system
- Stability and Hopf bifurcation of a predator-prey biological economic system with nonlinear harvesting rate
- The effect of state dependent delay and harvesting on a stage-structured predator-prey model
- On the local qualitative behavior of differential-algebraic equations
- Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
- Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
- Bifurcation and chaotic behavior of a discrete singular biological economic system
- Almost periodic solution of non-autonomous Lotka-Volterra predator-prey dispersal system with delays
- Asymptotic behavior of a stochastic Gilpin-Ayala predator-prey system with time-dependent delay
- A bioeconomic differential algebraic predator-prey model with nonlinear prey harvesting
- Persistence in nonautonomous predator--prey systems with infinite delays
- Bifurcations and stability of a discrete singular bioeconomic system
- Hopf bifurcation of a predator-prey system with predator harvesting and two delays
- A time-delay model of single-species growth with stage structure
- A NEW COMPARISON METHOD FOR STABILITY THEORY OF DIFFERENTIAL SYSTEMS WITH TIME-VARYING DELAYS
- Nonoccurence of Stability Switching in Systems with Discrete Delays
- Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay
- Symmetric functional differential equations and neural networks with memory
- Coexistence Region and Global Dynamics of a Harvested Predator-Prey System
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- Local bifurcations and feasibility regions in differential-algebraic systems
- Normal forms and Hopf bifurcation for partial differential equations with delays
- Bifurcations of a Ratio-Dependent Predator-Prey System with Constant Rate Harvesting
- Stability and bifurcation for a delayed predator-prey model and the effect of diffusion
- Global asymptotic stability of periodic Lotka-Volterra systems with delays
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