BORDER COLLISION BIFURCATIONS IN THE EVOLUTION OF MUTUALISTIC INTERACTIONS

DOI10.1142/S0218127405013241zbMath1092.37540WikidataQ111263468 ScholiaQ111263468MaRDI QIDQ5474284

Fabio Dercole

Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Problems related to evolution (92D15) Dynamical systems in biology (37N25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (6)

Unfolding the resident-invader dynamics of similar strategies ⋮ Teixeira singularities in 3D switched feedback control systems ⋮ Additive Allee effect on prey in the dynamics of a Gause predator-prey model with constant or proportional refuge on prey at low or high densities ⋮ Dynamics of a Filippov epidemic model with limited hospital beds ⋮ EVOLUTIONARY DYNAMICS CAN BE CHAOTIC: A FIRST EXAMPLE ⋮ Detection and continuation of a border collision bifurcation in a forest fire model

Uses Software

• SlideCont

Cites Work

• Elements of applied bifurcation theory.
• Optimal foraging and predator-prey dynamics. II
• The increasingly complex structure of the bifurcation tree of a piecewise-smooth system
• The dynamical theory of coevolution: A derivation from stochastic ecological processes
• The Evolution of Cooperation
• Variable structure systems with sliding modes
• Analytical determination of bifurcations in an impact oscillator
• NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (I): BIFURCATION IN FINITE DIMENSIONS
• NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (II): BIFURCATION IN INFINITE DIMENSIONS
• BORDER-COLLISION BIFURCATIONS FOR PIECEWISE SMOOTH ONE-DIMENSIONAL MAPS
• One-Parameter Bifurcations in Planar Filippov Systems
• Numerical sliding bifurcation analysis: an application to a relay control system
• SlideCont: An Auto97 driver for bifurcation analysis of Filippov systems

This page was built for publication: BORDER COLLISION BIFURCATIONS IN THE EVOLUTION OF MUTUALISTIC INTERACTIONS