Display Abstract

Title Global dynamics for some classes of Lotka-Volterra systems with infinite delay

Name Teresa Faria
Country Portugal
Email tfaria@ptmat.fc.ul.pt
Co-Author(s)
Submit Time 2014-02-28 14:25:46
Session
Special Session 5: Differential delay equations
Contents
We analyse some aspects of the global dynamics for autonomous $n$-dimensional Lotka-Volterra systems with infinite delay and patch structure, such as extinction, persistence, global attractivity of a positive equilibrium $x^*$ (when it exists), existence of a positive heteroclinic solution connecting zero to $x^*$. Our approach exploits the theory of monotone dynamical systems, which is applied even for non-cooperative systems via comparison results with an auxiliary cooperative system.