Hopf bifurcation in three-species food chain models with group defense
From MaRDI portal
Publication:1205305
DOI10.1016/0025-5564(92)90079-CzbMath0761.92039OpenAlexW1973222707WikidataQ52414707 ScholiaQ52414707MaRDI QIDQ1205305
Publication date: 1 April 1993
Published in: Mathematical Biosciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0025-5564(92)90079-c
survivalHopf bifurcationsprey-predator modelcarrying capacitygroup defensemodel with delaymodel without delayregion of local stabilitythree-species food-chain models
Bifurcation theory for ordinary differential equations (34C23) Ecology (92D40) Stability theory for ordinary differential equations (34D99)
Related Items
RICH DYNAMICS OF A TIME-DELAYED FOOD CHAIN MODEL, Impact of Predator Switching in the Disease Outbreak of an Eco-Epidemiological System, Limit cycles in a tritrophic food chain model with general functional responses, Analysis of a predator-prey model with switching and stage-structure for predator, Pattern Dynamics in a Spatial Predator–Prey Model with Nonmonotonic Response Function, Computational analysis on Hopf bifurcation and stability for a consumer-resource model with nonlinear functional response, Mathematical study about a predator-prey model with anti-predator behavior, Bifurcation analysis of a Kolmogorov type tritrophic model, Canard phenomena for a slow-fast predator-prey system with group defense of the prey, Modeling the plankton-fish dynamics with top predator interference and multiple gestation delays, Stable limit cycles in an intraguild predation model with general functional responses, Hopf bifurcation and topological horseshoe of a novel finance chaotic system, Extinction and stationary distribution of stochastic predator-prey model with group defense behavior, DELAY INDUCED SUBCRITICAL HOPF BIFURCATION IN A DIFFUSIVE PREDATOR-PREY MODEL WITH HERD BEHAVIOR AND HYPERBOLIC MORTALITY, Coupling effect of grazing pressure and nutrient enrichment on system stability, The study of a predator-prey system with group defense and impulsive control strategy, Predator-prey systems with a general non-monotonic functional response, Effect of time-delay on a food chain model, Complex Dynamical Behavior of a Three Species Prey–Predator System with Nonlinear Harvesting, A mathematical model of cancer treatment by immunotherapy, Impulsive state feedback control of a predator-prey system with group defense, Dynamical complexities in a predator-prey system involving teams of two prey and one predator, Stability and bifurcation of a simple food chain in a chemostat with removal rates, A Stage Structure Model for the Growth of a Population Involving Switching and Cooperation, Top-predator interference and gestation delay as determinants of the dynamics of a realistic model food chain, Threshold control strategy for a non-smooth Filippov ecosystem with group defense, Rich dynamics of a food chain model with Hassell-Varley type functional responses, Codimension two and three bifurcations of a predator–prey system with group defense and prey refuge, Persistence and coexistence in zooplankton-phytoplankton-nutrient models with instantaneous nutrient recycling, CODIMENSION TWO BIFURCATIONS IN A PREDATOR–PREY SYSTEM WITH GROUP DEFENSE, Complex dynamical behaviors in a predator-prey system with generalized group defense and impulsive control strategy, How many consumer levels can survive in a chemotactic food chain?, Unnamed Item, Hopf bifurcation in multiparty political systems with time delay in switching, Switching Model with Two Habitats and a Predator Involving Group Defence
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The trade-off between mutual interference and time lags in predator-prey systems
- Global stability and persistence of simple food chains
- Three-species food-chain models with mutual interference and time delays
- Predator-prey systems with group defence: The paradox of enrichment revisited
- Interactions leading to persistence in predator-prey systems with group defence
- Discrete delay, distributed delay and stability switches
- Persistence in three-species food chain models with group defense
- The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
- Homage to the red queen. I. Coevolution of predators and their victims
- Some global results for nonlinear eigenvalue problems
- Delayed responses and stability in two-species systems
- Nonoccurence of Stability Switching in Systems with Discrete Delays
- Stability Criteria for a System Involving Two Time Delays
- Limit cycles in two spacies competition with time delays
- A predator-prey system involving group defense: a connection matrix approach