Bifurcation Analysis for a Food Chain Model with Nonmonotonic Nutrition Conversion Rate of Predator to Top Predator
DOI10.1142/S0218127420501138zbMath1450.34036OpenAlexW3043745922WikidataQ115523579 ScholiaQ115523579MaRDI QIDQ5116641
No author found.
Publication date: 18 August 2020
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127420501138
saddle-node bifurcationHopf bifurcationnonmonotonic functional responsecoexistence thresholdtop predator extinction threshold
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability and bifurcation analysis in a predator-prey system with Michaelis-Menten type predator harvesting
- Dynamical complexity of a prey-predator model with nonlinear predator harvesting
- A three-species food chain system with two types of functional responses
- Chaos in a three-species food chain model with a Beddington-DeAngelis functional response
- Bifurcation analysis of a predator-prey model with anti-predator behaviour
- Ratio-dependent predator-prey models of interacting populations
- The dynamic complexity of a three species food chain model
- Dynamic complexities of a three-species Beddington-DeAngelis system with impulsive control strategy
- Predator-prey systems with group defence: The paradox of enrichment revisited
- Uniqueness of limit cycles in Gause-type models of predator-prey systems
- Elements of applied bifurcation theory.
- Exponential dichotomies in intermediate spaces with applications to a diffusively perturbed predator-prey model
- Order and chaos in predator to prey ratio-dependent food chain
- Dynamical behaviors of a food-chain model with stage structure and time delays
- Modeling the dynamics of stage-structure predator-prey system with Monod-Haldane type response function
- Complete mathematical analysis of predator-prey models with linear prey growth and Bedding\-ton-DeAngelis functional response
- Analyses of bifurcations and stability in a predator-prey system with Holling type-IV functional response
- A ratio-dependent food chain model and its applications to biological control.
- Global properties of the three-dimensional predator-prey Lotka-Volterra systems
- Impact of species enrichment and fishing mortality in three species food chain models
- Stability and Hopf-bifurcation in a general Gauss type two-prey and one-predator system
- On the basins of attraction for a class of delay differential equations with non-monotone bistable nonlinearities
- A mathematical model to study the dynamics of carbon dioxide gas in the atmosphere
- Dynamical behavior of a three-dimensional differential equation in a chemical system
- Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response
- Chaos in low-dimensional Lotka–Volterra models of competition
- Bifurcation Analysis of a Predator-Prey System Involving Group Defence
- Bifurcation Analysis of a Predator-Prey System with Nonmonotonic Functional Response
- Stability and Hopf Bifurcation of a Delayed Prey–Predator Model with Disease in the Predator
- A Predator–Prey Model with Prey Population Guided Anti-Predator Behavior
- A predator-prey system involving group defense: a connection matrix approach
This page was built for publication: Bifurcation Analysis for a Food Chain Model with Nonmonotonic Nutrition Conversion Rate of Predator to Top Predator