𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Necessary and Sufficient Conditions for Permanence and Global Stability of a Lotka–Volterra System with Two Delays

✍ Scribed by Yasuhisa Saito; Tadayuki Hara; Wanbiao Ma


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
198 KB
Volume
236
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


A Necessary and Sufficient Condition for
✍ Yasuhisa Saito; Wanbiao Ma; Tadayuki Hara 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 97 KB

In this paper we consider the permanence of the following Lotka᎐Volterra Ž . Ž . Ä w discrete competition system with delays k , k , l , and l : .x4 l . We show the system is permanent for all nonnegative integers k , k , l , and 2 1 2 1 l , if and only if -1 and -1 hold. ᮊ 2001 Academic Press 2 1

The Necessary and Sufficient Condition f
✍ 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

Necessary and sufficient conditions for
✍ Ezra Zeheb 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 376 KB

Al~a~et--Let a real polynomial in a complex variable, whose coefficients are any given continuous functions of two real interval parameters, be given. Necessary and sufficient conditions are derived for the polynomial to have all its zeros outside (or inside) the unit circle of the complex variable