Competitive or weak cooperative stochastic Lotka–Volterra systems conditioned on non-extinction

The Necessary and Sufficient Condition f

The Necessary and Sufficient Condition for Global Stability of a Lotka–Volterra Cooperative or Competition System with Delays

✍ Yasuhisa Saito 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 334 KB

This paper presents the necessary and sufficient condition for the global stability of the following Lotka-Volterra cooperative or competition system with time delays: It is showed that the positive equilibrium of the system is globally asymptotically stable for all delays τ ij ≥ 0 i j = 1 2 if and