Partial characterization of the global dynamic of a predator-prey model with non constant mortality rate

DOI10.1007/s12591-009-0005-yzbMath1200.92041OpenAlexW2059517483WikidataQ115601380 ScholiaQ115601380MaRDI QIDQ606451

Marcos Lizana, Cosme Duque

Publication date: 17 November 2010

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-009-0005-y

zbMATH Keywords

global stabilityHopf bifurcationpermanencepredator prey modeldissipativeness

Mathematics Subject Classification ID

Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23)

Related Items

Dynamics of a predator-prey model with strong Allee effect and nonconstant mortality rate, Dynamic analysis of a heterogeneous diffusive prey-predator system in time-periodic environment, The Rosenzweig-MacArthur graphical criterion for a predator-prey model with variable mortality rate, Hopf Bifurcation of a Delayed Predator–Prey Model with Nonconstant Death Rate and Constant-Rate Prey Harvesting, Hopf bifurcation analysis of a delayed diffusive predator-prey system with nonconstant death rate, The global dynamics of stochastic Holling type II predator-prey models with non constant mortality rate

Cites Work

• Permanence and the dynamics of biological systems
• Homoclinic bifurcation in a predator-prey model
• Bifurcations in a predator-prey model with memory and diffusion. I: Andronov-Hopf bifurcation
• Bifurcations in a predator-prey model with memory and diffusion. II: Turing bifurcation
• Persistence in Infinite-Dimensional Systems