Hopf bifurcation and chaos in a Leslie–Gower prey–predator model with discrete delays
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Publication:4984955
DOI10.1142/S1793524520500485zbMath1461.92099OpenAlexW3043793253MaRDI QIDQ4984955
Preeti, Anuraj Singh, Pradeep Malik
Publication date: 21 April 2021
Published in: International Journal of Biomathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793524520500485
Population dynamics (general) (92D25) Complex (chaotic) behavior of solutions to functional-differential equations (34K23)
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Phase portraits of the Leslie-Gower system ⋮ BIFURCATION AND CHAOS IN A DISCRETE PREDATOR–PREY MODEL WITH HOLLING TYPE-III FUNCTIONAL RESPONSE AND HARVESTING EFFECT
Cites Work
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- Complex dynamics in a prey predator system with multiple delays
- Dynamic behaviour of a delayed predator-prey model with harvesting
- Hopf bifurcations in a predator-prey system with multiple delays
- Delay differential equations: with applications in population dynamics
- Local Hopf bifurcation and global periodic solutions in a delayed predator--prey system
- Effects of seasonal growth on delayed prey-predator model
- Effects of seasonal growth on ratio dependent delayed prey predator system
- A delay model for viral infection in toxin producing phytoplankton and zooplankton system
- Differential-difference equations
- Delays in recruitment at different trophic levels: Effects on stability
- Harmless delays for uniform persistence
- Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay
- Chronic hepatitis B infection and HBV DNA-containing capsids: modeling and analysis
- Harmless delays in model systems
- Discrete delay, distributed delay and stability switches
- Time delay in prey-predator models
- Theory of functional differential equations. 2nd ed
- Introduction to functional differential equations
- A Lyapunov function for Leslie-Gower predator-prey models
- Mathematical biology. Vol. 1: An introduction.
- Bifurcation analysis for Chen's system with delayed feedback and its application to control of chaos
- Stability and bifurcation in a neural network model with two delays.
- Theory and applications of partial functional differential equations
- Stability and delays in a predator-prey system
- Construction of Lyapunov functionals for delay differential equations in virology and epidemiology
- Global analysis of a delayed density dependent predator-prey model with Crowley-Martin functional response
- Global stability and Hopf-bifurcation of prey-predator system with two discrete delays including habitat complexity and prey refuge
- Holling-Tanner model with Beddington-DeAngelis functional response and time delay introducing harvesting
- Global Hopf bifurcation on two-delays Leslie-Gower predator-prey system with a prey refuge
- Stability and global Hopf bifurcation in a Leslie-Gower predator-prey model with stage structure for prey
- A generalized predator-prey system with multiple discrete delays and habitat complexity
- Hopf bifurcation in a delayed Lotka-Volterra predator-prey system
- A time-delay model of single-species growth with stage structure
- Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters
- A note on delay-independent stability of a predator–prey model
- Bifurcation and stability analysis for a delayed Leslie-Gower predator-prey system
- Elements of Mathematical Ecology
- Slowly oscillating periodic solutions of autonomous state-dependent delay equations
- The effect of delays on stability and persistence in plankton models
- EFFECTS OF DELAY AND SEASONALITY ON TOXIN PRODUCING PHYTOPLANKTON–ZOOPLANKTON SYSTEM
- Interaction of maturation delay and nonlinear birth in population and epidemic models